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

analyze3.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample757.0ms (10.4%)

Memory

-1.6MiB live, 375.7MiB allocated; 113ms collecting garbage

Samples

415.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-sqrt: 113.0ms (50.3% of total)

ival-add!: 60.0ms (26.7% of total)

ival-div!: 51.0ms (22.7% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess206.0ms (2.8%)

Memory

-25.6MiB live, 19.8MiB allocated; 11ms 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	3345	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

series6.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

6 → 41

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

0.0ms

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

rewrite1.0s (14%)

Memory

27.7MiB live, 407.8MiB allocated; 77ms collecting garbage

Counts

47 → 62

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ 1 x))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ 1 x))) (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 (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64))))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ 1 x))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ 1 (sqrt (+ 1 x))) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (.f64 x x) x)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (.f64 x x) x)))))) x)) (neg.f64 (/.f64 x (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 7 binary64)))) (pow.f64 #s(literal -1 binary64) (neg.f64 #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))

eval6.0ms (0.1%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 630 to 317 computations (49.7% saved)

prune5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Accuracy

100.0%

Counts

60 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	36.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
▶	69.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
	13.3%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
▶	32.0%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	67.4%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	69.2%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
▶	32.6%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))

Compiler

Compiled 157 to 154 computations (1.9% saved)

series7.0ms (0.1%)

Memory

-40.3MiB live, 6.6MiB allocated; 2ms collecting garbage

Counts

17 → 53

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #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 (+ 1 x))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

rewrite1.0s (14.4%)

Memory

29.1MiB live, 407.0MiB allocated; 127ms collecting garbage

Counts

70 → 92

Calls

Call 1

Inputs
(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x)))
(sqrt.f64 #s(approx (+ 1 x) x))
#s(approx (+ 1 x) x)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #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 (+ 1 x))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.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 1/2 binary64) x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 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))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -1/2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x)))
(sqrt.f64 #s(approx (+ 1 x) x))
#s(approx (+ 1 x) x)
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ 1 x))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ 1 x))) (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 (+ 2 (* 1/2 x)) #s(literal 2 binary64))
#s(approx (+ 2 (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64))))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (sqrt (+ 1 x))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ 1 x))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ 1 (sqrt (+ 1 x))) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ 2 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 2 (* 1/2 x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (- (sqrt x) 1) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (sqrt (+ 1 x)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 x)) (neg.f64 (/.f64 x (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (.f64 x x) x)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (sqrt.f64 (.f64 (.f64 x x) x)))))) x)) (neg.f64 (/.f64 x (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ 1 x))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x))) x)))
#s(approx (sqrt x) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x (neg.f64 #s(literal 7 binary64)))) (pow.f64 #s(literal -1 binary64) (neg.f64 #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))

eval8.0ms (0.1%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 729 to 391 computations (46.4% saved)

prune4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	83	8	91

Accuracy

100.0%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	36.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
✓	69.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	13.3%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal -1/2 binary64)) (.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	32.0%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	67.4%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.6%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))

Compiler

Compiled 82 to 80 computations (2.4% saved)

series12.0ms (0.2%)

Memory

-36.9MiB live, 8.8MiB allocated; 2ms collecting garbage

Counts

18 → 46

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ 1 x)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 x 1/2 (/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1)
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ 1 x)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 x 1/2 (/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1)
2.0ms	x	@	0	((/ x (+ 1 (sqrt (+ 1 x)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 x 1/2 (/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) 1) (+ (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (sqrt x)) (neg (/ (* (sqrt (* (* x x) x)) -1/2) (* x x))) (/ (* (sqrt (* (* x x) x)) -1/2) (* x x)) (* (sqrt (* (* x x) x)) -1/2) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) -1/2 (sqrt x) 1)

Time

Variable

Point

Expression

7.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite1.2s (16%)

Memory

35.7MiB live, 319.4MiB allocated; 62ms collecting garbage

Counts

64 → 134

Calls

Call 1

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

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

eval13.0ms (0.2%)

Memory: -25.8MiB live, 20.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 500 to 671 computations (55.3% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	117	8	125

Accuracy

100.0%

Counts

125 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	36.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
✓	69.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	33.1%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 #s(approx (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	32.0%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.6%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))

Compiler

Compiled 87 to 86 computations (1.1% saved)

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

11 → 34

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))
1.0ms	x	@	0	((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))
1.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))

1.0ms

((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))

1.0ms

inf

((/ x (+ 1 (sqrt (+ 1 x)))) (- (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) 1) (+ (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (sqrt x)) (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 x (sqrt x))

rewrite2.9s (40%)

Memory

-21.4MiB live, 902.9MiB allocated; 382ms collecting garbage

Counts

45 → 136

Calls

Call 1

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

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

eval12.0ms (0.2%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 537 to 932 computations (39.4% saved)

prune6.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	124	8	132

Accuracy

100.0%

Counts

132 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	36.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) x))))
✓	69.5%	(/.f64 x #s(approx (+ 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	33.1%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 #s(approx (/ (* -1/2 (sqrt (pow x 3))) (neg (* x x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) #s(literal 1 binary64)))
✓	32.0%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.2%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.6%	#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (sqrt.f64 x))

Compiler

Compiled 166 to 141 computations (15.1% saved)

regimes6.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes6.0ms (0.1%)

Memory

-41.6MiB live, 5.0MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (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
97.5%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.5%	2	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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 (+ 1 x)))) (sqrt.f64 x))

Outputs
#s(approx (/ x (+ 1 (sqrt (+ 1 x)))) (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
32.6%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
32.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch10.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.23804327873576123	254.2422764444549

Samples

4.0ms

128×

valid

Compiler

Compiled 171 to 186 computations (-8.8% saved)

Precisions

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

ival-sqrt: 1.0ms (44.7% of total)

ival-add!: 1.0ms (44.7% of total)

ival-div!: 1.0ms (44.7% of total)

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.23804327873576123	254.2422764444549

Samples

3.0ms

80×

valid

Compiler

Compiled 179 to 194 computations (-8.4% saved)

Precisions

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

ival-sqrt: 1.0ms (71.4% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch4.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.23804327873576123	254.2422764444549

Samples

2.0ms

48×

valid

Compiler

Compiled 163 to 178 computations (-9.2% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.23804327873576123	254.2422764444549

Compiler

Compiled 147 to 162 computations (-10.2% saved)

derivations1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 36 computations (34.5% saved)

preprocess38.0ms (0.5%)

Memory: 4.3MiB live, 50.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 62 to 42 computations (32.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample757.0ms (10.4%)

preprocess206.0ms (2.8%)

series6.0ms (0.1%)

rewrite1.0s (14%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

series7.0ms (0.1%)

rewrite1.0s (14.4%)

eval8.0ms (0.1%)

prune4.0ms (0.1%)

series12.0ms (0.2%)

rewrite1.2s (16%)

eval13.0ms (0.2%)

prune4.0ms (0.1%)

series4.0ms (0.1%)

rewrite2.9s (40%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch10.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

derivations1.0ms (0%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling