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

1.3MiB live, 1.3MiB 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)

sample589.0ms (28.1%)

Memory

28.7MiB live, 814.1MiB allocated; 247ms collecting garbage

Samples

356.0ms	8 252×	0	valid
0.0ms	4×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-sqrt: 67.0ms (40.9% of total)

ival-add!: 50.0ms (30.5% of total)

ival-div!: 46.0ms (28.1% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess110.0ms (5.2%)

Memory

-2.2MiB live, 42.6MiB allocated; 7ms 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
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB 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))

rewrite168.0ms (8%)

Memory

16.8MiB live, 237.2MiB allocated; 50ms 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)))

eval8.0ms (0.4%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 823 to 391 computations (52.5% saved)

prune5.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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
▶	35.4%	(/.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))))
▶	99.8%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
	38.3%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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))))
▶	32.9%	#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))
	68.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 150 to 148 computations (1.3% saved)

series10.0ms (0.5%)

Memory

-30.9MiB live, 14.0MiB allocated; 7ms collecting garbage

Counts

20 → 52

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (- (- x -1) 1) (- (sqrt (- x -1)) 1))
2.0ms	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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (- (- x -1) 1) (- (sqrt (- x -1)) 1))

Time

Variable

Point

Expression

5.0ms

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

2.0ms

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

rewrite228.0ms (10.9%)

Memory

-6.7MiB live, 271.2MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1556
0	270	1417
1	1467	1194
0	9259	1156

Stop Event

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

Counts

72 → 168

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

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
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (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 x #s(literal 0 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (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 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(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 (.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 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.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) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 x) x) #s(literal 1 binary64))) (neg.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 x) x) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(-.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 x (-.f64 x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 x #s(literal 0 binary64))) (.f64 (-.f64 x #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 0 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 (neg.f64 x)) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 x (/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 0 binary64)))) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 x #s(literal 0 binary64))) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 x #s(literal 0 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (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 x #s(literal 0 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#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 (- (sqrt (- x -1)) -1) #s(literal 2 binary64))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- x -1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- x -1) (+.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 (/ x (- (sqrt (- x -1)) -1)) (sqrt.f64 x))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (- (sqrt (- x -1)) -1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (- x -1)) -1) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (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 (- (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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ x (- (sqrt (- x -1)) -1)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #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 (- (sqrt (- x -1)) -1) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x)))
#s(approx (- (sqrt x) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (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)))

eval18.0ms (0.9%)

Memory: -1.4MiB live, 44.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 186 to 831 computations (62% saved)

prune41.0ms (2%)

Memory

-26.7MiB live, 19.9MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	191	9	200

Accuracy

100.0%

Counts

200 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	38.2%	(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶	38.3%	(/.f64 x #s(approx (- (sqrt (- x -1)) -1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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))))
▶	38.6%	(*.f64 (/.f64 x (-.f64 x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #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))
▶	68.2%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 144 to 142 computations (1.4% saved)

series9.0ms (0.4%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

25 → 64

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
(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
#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)
(/.f64 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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (/.f64 x (-.f64 x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal 0 binary64)))
(-.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 2))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- (- x -1) 1) (- (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 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ x (sqrt x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/ 1 (sqrt (/ 1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ (- (- x -1) 1) (- (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 -1) 1) (- (sqrt (- x -1)) 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 (* (+ (* -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)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 3)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x)))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (- (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) 1) (- (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 -1) 1) (- (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) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#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 (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (- 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 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
3.0ms	x	@	inf	((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)
3.0ms	x	@	-inf	((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)
2.0ms	x	@	0	((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)

Time

Variable

Point

Expression

3.0ms

inf

((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)

3.0ms

-inf

((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)

2.0ms

((/ x (- (sqrt (- x -1)) -1)) (* 1/2 x) 1/2 x (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+ (sqrt x) 1) (sqrt x) 1 (/ 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)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (/ 1 (sqrt x)) (* (/ x (- x 0)) (- (sqrt (- x -1)) 1)) (/ x (- x 0)) (- x 0) 0 (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)

rewrite167.0ms (7.9%)

Memory

31.3MiB live, 256.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1807
0	301	1588
1	1571	1352
0	8475	1318

Stop Event

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

Counts

89 → 282

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
(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
#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)
(/.f64 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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (/.f64 x (-.f64 x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal 0 binary64)))
(-.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 2))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- (- x -1) 1) (- (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 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ x (sqrt x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/ 1 (sqrt (/ 1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ (- (- x -1) 1) (- (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 -1) 1) (- (sqrt (- x -1)) 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 (* (+ (* -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)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 3)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x)))))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(hole binary64 (- (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) 1) (- (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 -1) 1) (- (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) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#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 (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (- 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 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
#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
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 0 binary64) #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.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))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.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))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 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) (.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 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.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) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #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)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.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 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) (-.f64 x (.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 (.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 x) x) (+.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(+.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(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 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64))) (sqrt.f64 (+.f64 x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#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 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (+.f64 x #s(literal 0 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) (+.f64 x #s(literal 0 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))) (+.f64 x #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x))) (-.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (+.f64 x #s(literal 0 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) x))) (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (fma.f64 x x (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 x x (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 0 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 x x))
(*.f64 (/.f64 x x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 x)))
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(/.f64 (.f64 x (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 x))
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(/.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x x) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (.f64 x x) (.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 x (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
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(-.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 x x)) (/.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 x))
(/.f64 x x)
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 x x) (/.f64 #s(literal 0 binary64) x))
x
#s(literal 0 binary64)
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (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 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)))
(expm1.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
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(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
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(*.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))))
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(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 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(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 (.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 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 (-.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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) #s(literal 2 binary64))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (sqrt x) (sqrt.f64 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 (+ (* (/ 1 (sqrt x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#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 (/ 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 (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#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)) -1) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (- x -1)) -1) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x))
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #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 (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ x (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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 (/ (- (- x -1) 1) (- (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) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (sqrt.f64 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)))

eval30.0ms (1.4%)

Memory: -32.2MiB live, 76.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 325 to 1 243 computations (62.6% saved)

prune6.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	272	2	274
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	274	9	283

Accuracy

100.0%

Counts

283 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.3%	(/.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) x)
✓	99.8%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	38.2%	(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶	38.4%	(/.f64 x #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (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))))
✓	66.7%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.2%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 93 to 92 computations (1.1% saved)

series5.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

14 → 60

Calls

Call 1

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

Outputs
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 2))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ x (sqrt x)))))
#s(approx (/ x (sqrt x)) #s(hole binary64 (/ x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/8 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/ 1 (sqrt (/ 1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #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 (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (+ (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 (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 3)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x)))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))) x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (- 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x)))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #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 (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 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 (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (+ (/ x (sqrt x)) 1) (/ x (sqrt x)) (sqrt x) 1 (/ (* x (- (sqrt (- x -1)) 1)) x) (* x (- (sqrt (- x -1)) 1)) (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)
1.0ms	x	@	inf	((/ x (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (+ (/ x (sqrt x)) 1) (/ x (sqrt x)) (sqrt x) 1 (/ (* x (- (sqrt (- x -1)) 1)) x) (* x (- (sqrt (- x -1)) 1)) (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)
1.0ms	x	@	0	((/ x (- (sqrt (- x -1)) -1)) x (- (sqrt (- x -1)) -1) (+ (* (/ 1 (sqrt x)) x) 1) (+ (/ x (sqrt x)) 1) (/ x (sqrt x)) (sqrt x) 1 (/ (* x (- (sqrt (- x -1)) 1)) x) (* x (- (sqrt (- x -1)) 1)) (- (sqrt (- x -1)) 1) (sqrt (- x -1)) (- x -1) -1)

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite232.0ms (11.1%)

Memory

-6.3MiB live, 267.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	1637
0	276	1535
1	1471	1364
0	8789	1312

Stop Event

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

Counts

74 → 139

Calls

Call 1

Inputs
(/.f64 x #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
x
#s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) x)
(*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 2))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ x (sqrt x)))))
#s(approx (/ x (sqrt x)) #s(hole binary64 (/ x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/8 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/ 1 (sqrt (/ 1 x)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (+ 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #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 (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (+ (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 (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt (/ 1 x)) 3)))) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x)))))))
#s(approx (- (sqrt (- x -1)) -1) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))) x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(hole binary64 (- 1 (/ 1 (sqrt (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ 1 x)))))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) #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 (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x))))))
#s(approx (* x (- (sqrt (- x -1)) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) 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 #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))))
(/.f64 x #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
x
#s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x x) x) (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) x) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) x) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 (/.f64 (.f64 x x) x) (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) x) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) x) (-.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) (/.f64 (/.f64 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) x) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))))) (/.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) x) (*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))))))
(+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))
(/.f64 (.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 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 x (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x) x)
(*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #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)))))
(expm1.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (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 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(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 (.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 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 (-.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 (- (sqrt (- x -1)) -1) #s(literal 2 binary64))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt x)) (/.f64 x (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (.f64 x x) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (.f64 x x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))))
#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 (/ x (- (sqrt (- x -1)) -1)) (sqrt.f64 x))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (- (sqrt (- x -1)) -1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (- (sqrt (- x -1)) -1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (sqrt (- x -1)) -1) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (- x -1)) -1) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (.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 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (* x (- (sqrt (- x -1)) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) (*.f64 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 (- (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 (- (sqrt (- x -1)) -1) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (- x -1)) -1) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) x) 1) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (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 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (* x (- (sqrt (- x -1)) 1)) x) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (.f64 x x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) #s(literal 1 binary64)) x)))))
#s(approx (* x (- (sqrt (- x -1)) 1)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.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)))

eval89.0ms (4.3%)

Memory: -19.3MiB live, 45.2MiB allocated; 130ms collecting garbage
Compiler: Compiled 1 475 to 697 computations (52.7% saved)

prune6.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	124	9	133

Accuracy

100.0%

Counts

133 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.3%	(/.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) x)
✓	99.8%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	38.2%	(/.f64 x #s(approx (/ (- (- x -1) 1) (- (sqrt (- x -1)) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓	38.4%	(/.f64 x #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (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))))
✓	66.7%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	68.2%	#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
✓	32.9%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 211 to 161 computations (23.7% saved)

regimes18.0ms (0.9%)

Memory

-16.7MiB live, 33.4MiB allocated; 14ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (- (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 (/ (- (- x -1) 1) (- (sqrt (- x -1)) 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)))))
(/.f64 x #s(approx (- (sqrt (- x -1)) -1) #s(approx (+ (* (/ 1 (sqrt x)) x) 1) (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) x)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
(/.f64 x #s(approx (- (sqrt (- x -1)) -1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal 0 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #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))))

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

Calls

2 calls:

12.0ms	x
5.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.3%)

Memory

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

Counts

8 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.4%)

Memory

-24.4MiB live, 20.1MiB allocated; 5ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.0%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory

-34.5MiB live, 11.9MiB allocated; 2ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Calls

2 calls:

2.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms	x

Results

Accuracy	Segments	Branch
97.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.0%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
33.5%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
33.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch11.0ms (0.5%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00048823622332270757	179.7338321227267

Samples

5.0ms

144×

valid

Compiler

Compiled 191 to 208 computations (-8.9% saved)

Precisions

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

ival-sqrt: 1.0ms (40.7% of total)

ival-add!: 1.0ms (40.7% of total)

ival-div!: 1.0ms (40.7% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.5%)

Memory

-38.6MiB live, 17.8MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00048823622332270757	179.7338321227267

Samples

6.0ms

80×

valid

Compiler

Compiled 200 to 217 computations (-8.5% saved)

Precisions

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

ival-sqrt: 1.0ms (72.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch4.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.00048823622332270757	179.7338321227267

Samples

2.0ms

48×

valid

Compiler

Compiled 182 to 199 computations (-9.3% 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

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00048823622332270757	179.7338321227267

Compiler

Compiled 164 to 181 computations (-10.4% saved)

derivations170.0ms (8.1%)

Memory

-11.5MiB live, 263.6MiB allocated; 27ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 37 computations (32.7% saved)

preprocess128.0ms (6.1%)

Memory: 18.8MiB live, 111.6MiB allocated; 43ms collecting garbage
Compiler: Compiled 62 to 43 computations (30.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample589.0ms (28.1%)

preprocess110.0ms (5.2%)

series5.0ms (0.2%)

rewrite168.0ms (8%)

eval8.0ms (0.4%)

prune5.0ms (0.2%)

series10.0ms (0.5%)

rewrite228.0ms (10.9%)

eval18.0ms (0.9%)

prune41.0ms (2%)

series9.0ms (0.4%)

rewrite167.0ms (7.9%)

eval30.0ms (1.4%)

prune6.0ms (0.3%)

series5.0ms (0.2%)

rewrite232.0ms (11.1%)

eval89.0ms (4.3%)

prune6.0ms (0.3%)

regimes18.0ms (0.9%)

regimes6.0ms (0.3%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch11.0ms (0.5%)

bsearch11.0ms (0.5%)

bsearch4.0ms (0.2%)

bsearch1.0ms (0%)

derivations170.0ms (8.1%)

preprocess128.0ms (6.1%)

end0.0ms (0%)

Profiling