Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (45.5%)

Memory

45.7MiB live, 1 392.5MiB allocated; 387ms collecting garbage

Samples

790.0ms	6 074×	1	valid
446.0ms	2 087×	2	valid
5.0ms	95×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 990.0ms

ival-sqrt: 393.0ms (39.7% of total)

adjust: 244.0ms (24.7% of total)

ival-div!: 236.0ms (23.8% of total)

ival-add!: 70.0ms (7.1% of total)

ival-sub!: 46.0ms (4.6% of total)

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

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

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

Bogosity

preprocess31.0ms (0.9%)

Memory

39.5MiB live, 39.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	97	29
2	868	28

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Symmetry

(abs x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series105.0ms (3%)

Memory

-15.1MiB live, 128.0MiB allocated; 29ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))

Calls

3 calls:

Time	Variable	Point
11.0ms	x	inf
3.0ms	x	-inf
1.0ms	x	0

rewrite165.0ms (4.7%)

Memory

-15.9MiB live, 123.2MiB allocated; 44ms collecting garbage

Counts

8 → 40

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 083 to 421 computations (79.8% saved)

prune13.0ms (0.4%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	63	15	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	16	79

Accuracy

66.2%

Counts

79 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(-.f64 (/.f64 #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))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	20.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))))
✓	37.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
	28.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
	19.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
▶	24.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
	6.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
▶	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
▶	29.4%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	27.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	20.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	28.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	32.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
▶	36.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
	3.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))

Compiler

Compiled 817 to 546 computations (33.2% saved)

series183.0ms (5.3%)

Memory

-7.7MiB live, 179.8MiB allocated; 22ms collecting garbage

Counts

33 → 111

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* (sqrt (/ 1 (- x 1))) 1) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (* (sqrt (/ 1 (- x 1))) 1) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (* (sqrt (/ 1 (- x 1))) 1) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* (sqrt (/ 1 (- x 1))) 1) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ 1 (- x 1)) (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (- x 1) (/ 1/2 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
#s(approx (pow (- x 1) (/ 1/2 2)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/32 binary64) x)))))
#s(approx (pow (- x 1) (/ 1/2 2)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (*.f64 #s(literal 7/128 binary64) x) #s(literal 3/32 binary64)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
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#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (/ 1 (- x 1))) 1) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ 1 (- x 1)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x 1)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64)) x)))
#s(approx (- x 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -3/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x)) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (/ 1 (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -3/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))))) x) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) x) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) x) (.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) x) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
#s(approx (* (pow (- x 1) (/ 1/2 2)) (pow (- x 1) (/ 1/2 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -7/64 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 3/64 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) x) (fma.f64 #s(literal -3/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) x) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
#s(approx (pow (- x 1) (/ 1/2 2)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))))
#s(approx (pow (- x 1) (/ 1/2 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (*.f64 #s(literal 3/32 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) x))) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))))
#s(approx (pow (- x 1) (/ 1/2 2)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (.f64 #s(literal 7/128 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) x))) x) (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))))

Calls

3 calls:

Time	Variable	Point
8.0ms	x	-inf
6.0ms	x	0
6.0ms	x	inf

rewrite167.0ms (4.8%)

Memory

5.1MiB live, 198.1MiB allocated; 58ms collecting garbage

Counts

33 → 134

Calls

Call 1

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

Outputs
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64)))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 3 binary64))

eval23.0ms (0.6%)

Memory: -11.5MiB live, 33.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 202 to 785 computations (84.9% saved)

prune11.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	140	13	153

Accuracy

97.1%

Counts

153 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
✓	24.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	4.5%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	27.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	20.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	28.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
▶	32.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
✓	36.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
▶	95.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	4.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
▶	34.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
	17.4%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 618 to 425 computations (31.2% saved)

series157.0ms (4.5%)

Memory

68.1MiB live, 199.8MiB allocated; 87ms collecting garbage

Counts

36 → 86

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx 2 #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))
#s(literal 5 binary64)
(pow.f64 x #s(literal 3 binary64))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal -1/2 binary64))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (sqrt.f64 x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (sqrt.f64 x) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
#s(approx (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
#s(approx (/ 1 (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 5)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow (sqrt (/ 1 x)) 5) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))
#s(approx (/ 1 (pow (sqrt (/ 1 x)) 3)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 3) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(approx (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (* (pow x 2) (pow (sqrt (/ 1 x)) 5)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(approx (pow (sqrt (/ 1 x)) 5) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (pow (sqrt x) 3) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))
#s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))))

Calls

3 calls:

Time	Variable	Point
10.0ms	x	0
6.0ms	x	-inf
5.0ms	x	inf

rewrite224.0ms (6.4%)

Memory

-65.2MiB live, 320.8MiB allocated; 101ms collecting garbage

Counts

36 → 140

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
#s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx 2 #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))
#s(literal 5 binary64)
(pow.f64 x #s(literal 3 binary64))

Outputs
#s(approx 0 (/.f64 #s(literal 1/2 binary64) #s(approx 0 #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) #s(approx 0 #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(approx 0 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 3 binary64)
#s(approx 0 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) #s(approx 0 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx 0 #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(approx 0 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))) (-.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))) (-.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 3/8 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(/.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
#s(literal 3/8 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(/.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x
#s(literal 5 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
x

eval25.0ms (0.7%)

Memory: 13.6MiB live, 59.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 598 to 591 computations (87.1% saved)

prune23.0ms (0.7%)

Memory

9.2MiB live, 55.5MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	118	13	131
Fresh	1	4	5
Picked	2	3	5
Done	0	3	3
Total	121	23	144

Accuracy

97.2%

Counts

144 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
✓	24.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	27.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	20.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	28.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	33.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
	32.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	33.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
▶	32.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
✓	36.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
✓	95.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	95.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
	4.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
▶	4.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
▶	96.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
✓	34.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
▶	17.4%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
▶	4.6%	#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
	5.6%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	17.8%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	5.6%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	4.6%	#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))

Compiler

Compiled 1 235 to 855 computations (30.8% saved)

series333.0ms (9.6%)

Memory

-10.0MiB live, 244.1MiB allocated; 333ms collecting garbage

Counts

31 → 69

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))
#s(approx (* 1/2 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (/ 1 (pow (sqrt x) 3)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sqrt x) 3) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
#s(approx (pow (sqrt x) 5) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal -1/2 binary64))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64))))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x))
#s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 1 (pow (sqrt x) 3)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (pow (sqrt x) 3) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (pow (sqrt x) 5) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (pow (sqrt x) 3)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (pow (sqrt x) 3) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal -3/8 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (pow (sqrt x) 5) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (pow x 3) (- (* 1/2 (/ 1 (pow (sqrt x) 3))) (* 3/8 (/ 1 (pow (sqrt x) 5))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (* (pow x 3) (- (* 1/2 (/ 1 (pow (sqrt x) 3))) (* 3/8 (/ 1 (pow (sqrt x) 5))))) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))

Calls

3 calls:

Time	Variable	Point
100.0ms	x	0
31.0ms	x	-inf
8.0ms	x	inf

rewrite237.0ms (6.8%)

Memory

-15.0MiB live, 250.3MiB allocated; 129ms collecting garbage

Counts

31 → 115

Calls

Call 1

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

Outputs
#s(approx 1/2 #s(approx (+ (* (pow 1/2 5) 3/8) 1/2) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (pow 1/2 5) 3/8) 1/2) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 3/8 binary64) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 #s(literal 3/8 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 #s(literal 3/8 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 3 binary64)
(.f64 #s(literal 3/8 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64))
(.f64 (.f64 #s(literal 3/8 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(.f64 (.f64 #s(literal 3/8 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64)))))
#s(literal 3/8 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 3/8 binary64) #s(literal 3/8 binary64))
(/.f64 #s(literal 3/8 binary64) #s(literal 1/2 binary64))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
(+.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))
#s(literal 5 binary64)
#s(approx 1/2 #s(literal 1/2 binary64))
#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))) (-.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))) (-.f64 #s(literal 1/2 binary64) (fabs.f64 #s(literal 3/8 binary64))))
#s(approx 1/2 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x
#s(approx 1/2 (/.f64 #s(approx (+ (* (pow 1/2 5) 3/8) 1/2) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (pow 1/2 5) 3/8) 1/2) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (pow 1/2 5) 3/8) 1/2) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 3/8 binary64) (fma.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))) #s(literal 3/8 binary64) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 #s(literal 3/8 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (fabs.f64 #s(literal 3/8 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 5 binary64))))))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
x

eval13.0ms (0.4%)

Memory: 36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 601 to 740 computations (90.3% saved)

prune29.0ms (0.8%)

Memory

3.3MiB live, 43.0MiB allocated; 21ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	2	10	12
Picked	2	3	5
Done	1	5	6
Total	140	26	166

Accuracy

97.2%

Counts

166 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	5.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
✓	27.2%	(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	20.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	28.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
	32.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
	33.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
	32.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx (* 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
	32.0%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (sqrt x) 3) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
✓	36.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
✓	95.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
	95.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
	4.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
✓	4.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
	95.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
	96.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx ( 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
✓	34.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
✓	17.4%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	18.1%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
	24.8%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 #s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
	18.3%	#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) #s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x)))
✓	4.6%	#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
	5.6%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	17.8%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	5.6%	#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	4.6%	#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))

Compiler

Compiled 883 to 590 computations (33.2% saved)

regimes96.0ms (2.8%)

Memory

-21.8MiB live, 121.2MiB allocated; 49ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

14 → 1

21 → 1

27 → 1

42 → 1

Calls

Call 1

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

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

Call 2

Inputs
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) #s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 #s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))

Call 3

Inputs
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) #s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 #s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

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

Call 4

Inputs
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) #s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 #s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))

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

Call 5

Inputs
#s(approx (- (/ 1 2) (/ 1 (sqrt (+ x 1)))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 0 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
#s(approx 0 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx 1/2 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) #s(approx (- (/ 1 (* x (sqrt (/ 1 x)))) (sqrt (/ 1 x))) (/.f64 (-.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 #s(approx (/ 1 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx 2 #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (/ 1 x)) 1) (/ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (* (sqrt (/ 1 (- x 1))) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) #s(approx (* (pow x 3) (pow (sqrt (/ 1 x)) 3)) (pow.f64 #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx ( 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 3/8 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))))))
(-.f64 (/.f64 #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))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx (* 3/8 (/ 1 (pow (sqrt x) 5))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (pow (sqrt x) 3) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))

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

Outputs

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

Calls

10 calls:

19.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
11.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0ms	x
6.0ms	x

Results

Accuracy	Segments	Branch
4.6%	1	`x`
4.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
34.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
34.7%	1	`x`
37.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
37.0%	1	`x`
95.6%	1	`x`
95.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.4%	1	`x`

Compiler

Compiled 1 352 to 283 computations (79.1% saved)

derivations1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 131 to 58 computations (55.7% saved)

preprocess49.0ms (1.4%)

Memory: 32.9MiB live, 77.9MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 428 to 268 computations (37.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.6s (45.5%)

preprocess31.0ms (0.9%)

series105.0ms (3%)

rewrite165.0ms (4.7%)

eval8.0ms (0.2%)

prune13.0ms (0.4%)

series183.0ms (5.3%)

rewrite167.0ms (4.8%)

eval23.0ms (0.6%)

prune11.0ms (0.3%)

series157.0ms (4.5%)

rewrite224.0ms (6.4%)

eval25.0ms (0.7%)

prune23.0ms (0.7%)

series333.0ms (9.6%)

rewrite237.0ms (6.8%)

eval13.0ms (0.4%)

prune29.0ms (0.8%)

regimes96.0ms (2.8%)

derivations1.0ms (0%)

preprocess49.0ms (1.4%)

end0.0ms (0%)

Profiling