Metrics for 2sqrt (example 3.1)

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	25.0%	75.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	25.0%	75.0%	0.0%	0.0%	0.0%	1
50.0%	12.5%	12.5%	75.0%	0.0%	0.0%	0.0%	2
75.0%	18.7%	6.2%	75.0%	0.0%	0.0%	0.0%	3
87.5%	21.9%	3.1%	75.0%	0.0%	0.0%	0.0%	4
93.8%	23.4%	1.6%	75.0%	0.0%	0.0%	0.0%	5
96.9%	24.2%	0.8%	75.0%	0.0%	0.0%	0.0%	6
98.4%	24.6%	0.4%	75.0%	0.0%	0.0%	0.0%	7
99.2%	24.8%	0.2%	75.0%	0.0%	0.0%	0.0%	8
99.6%	24.9%	0.1%	75.0%	0.0%	0.0%	0.0%	9
99.8%	24.9%	0.0%	75.0%	0.0%	0.0%	0.0%	10
99.9%	25.0%	0.0%	75.0%	0.0%	0.0%	0.0%	11
100.0%	25.0%	0.0%	75.0%	0.0%	0.0%	0.0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (36.0%)

Memory

31.3MiB live, 1 197.8MiB allocated; 235ms collecting garbage

Samples

761.0ms	8 116×	1	valid
5.0ms	140×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-sqrt: 270.0ms (49.5% of total)

adjust: 178.0ms (32.6% of total)

ival-add!: 59.0ms (10.8% of total)

ival-sub!: 39.0ms (7.2% of total)

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

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

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

Bogosity

preprocess38.0ms (1.3%)

Memory

1.4MiB live, 47.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	38	22
2	78	22
3	254	21
4	949	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series12.0ms (0.4%)

Memory

31.0MiB live, 31.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	710

Stop Event

1×	iter-limit

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.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)))))) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #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 x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 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 3 binary64)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 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 (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 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 5/128 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 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 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 (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 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 3 binary64)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 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 (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/8 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 5/128 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 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 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
2.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite143.0ms (5.0%)

Memory

-0.7MiB live, 138.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	57	18
2	140	18
3	332	18
4	1207	18
0	4327	18

Stop Event

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

Counts

6 → 342

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal -1 binary64))) (+.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal -1 binary64))) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
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(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 0 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval43.0ms (1.5%)

Memory: -17.0MiB live, 72.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 818 to 1 455 computations (75.0% saved)

prune12.0ms (0.4%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	358	8	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	359	8	367

Accuracy

99.5%

Counts

367 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	4.8%	(/.f64 (+.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	6.1%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	4.4%	(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	65.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 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 3 binary64)))))) x))
▶	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 272 to 178 computations (34.6% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
1
-1
1/8
2
3

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1/8 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series30.0ms (1.0%)

Memory

3.4MiB live, 48.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1759

Stop Event

1×	iter-limit

Counts

34 → 67

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
8.0ms	x	inf
7.0ms	x	0
6.0ms	x	-inf

rewrite148.0ms (5.1%)

Memory

-20.1MiB live, 135.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	264
0	61	231
1	321	230
2	1052	204
0	4207	198

Stop Event

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

Counts

34 → 1 219

Calls

Call 1

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

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

eval158.0ms (5.5%)

Memory: 33.4MiB live, 261.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 44 755 to 6 962 computations (84.4% saved)

prune37.0ms (1.3%)

Memory

-35.2MiB live, 59.2MiB allocated; 21ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 353	7	1 360
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 356	12	1 368

Accuracy

100.0%

Counts

1 368 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.1%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
▶	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	99.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))
	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
▶	97.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
▶	97.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x)))))
✓	97.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
	98.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 320 to 237 computations (25.9% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/8
-1
(sqrt 1)

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/8 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series19.0ms (0.7%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1055

Stop Event

1×	iter-limit

Counts

27 → 51

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
6.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0

rewrite115.0ms (4.0%)

Memory

-21.8MiB live, 118.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	194
0	54	182
1	225	181
2	671	168
3	2621	164
0	4230	138

Stop Event

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

Counts

27 → 1 273

Calls

Call 1

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

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

eval213.0ms (7.4%)

Memory: 5.8MiB live, 276.3MiB allocated; 140ms collecting garbage
Compiler: Compiled 30 547 to 5 028 computations (83.5% saved)

prune47.0ms (1.6%)

Memory

4.6MiB live, 51.3MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 333	7	1 340
Fresh	2	2	4
Picked	3	2	5
Done	1	2	3
Total	1 339	13	1 352

Accuracy

100.0%

Counts

1 352 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x)))
✓	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	98.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64))) x))
▶	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
▶	97.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))))
✓	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
▶	98.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
▶	97.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	98.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 326 to 236 computations (27.6% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/8
1/2

Outputs
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series22.0ms (0.7%)

Memory

-21.9MiB live, 24.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	927

Stop Event

1×	iter-limit

Counts

24 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
7.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0

rewrite188.0ms (6.5%)

Memory

34.6MiB live, 359.6MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	198
0	48	176
1	217	166
2	882	162
0	4539	162

Stop Event

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

Counts

24 → 2 728

Calls

Call 1

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

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

eval271.0ms (9.4%)

Memory: -20.7MiB live, 450.0MiB allocated; 119ms collecting garbage
Compiler: Compiled 53 406 to 6 478 computations (87.9% saved)

prune39.0ms (1.3%)

Memory

5.8MiB live, 98.5MiB allocated; 9ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 880	3	1 883
Fresh	0	4	4
Picked	2	3	5
Done	0	4	4
Total	1 882	14	1 896

Accuracy

100.0%

Counts

1 896 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x)))
✓	6.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	98.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) x))
✓	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (sqrt.f64 x) (+.f64 x x)))
✓	97.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))))
✓	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
✓	97.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	98.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) x)))

Compiler

Compiled 204 to 151 computations (26.0% saved)

regimes68.0ms (2.4%)

Memory

25.1MiB live, 166.4MiB allocated; 17ms collecting garbage

Counts

1 → 1

2 → 1

3 → 1

13 → 1

14 → 1

22 → 1

26 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs

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

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

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Call 7

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

Outputs

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

Calls

14 calls:

12.0ms	x
8.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
7.0ms	x
6.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
1.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.6%	1	`x`
98.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.0%	1	`x`
98.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.0%	1	`x`
98.2%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.2%	1	`x`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`
98.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.8%	1	`x`
99.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.0%	1	`x`

Compiler

Compiled 484 to 163 computations (66.3% saved)

derivations173.0ms (6.0%)

Memory

-28.7MiB live, 209.3MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 114 to 38 computations (66.7% saved)

preprocess65.0ms (2.3%)

Memory: 31.8MiB live, 137.7MiB allocated; 36ms collecting garbage
Compiler: Compiled 363 to 230 computations (36.6% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.1%)

sample1.0s (36.0%)

preprocess38.0ms (1.3%)

sample0.0ms (0.0%)

series12.0ms (0.4%)

rewrite143.0ms (5.0%)

eval43.0ms (1.5%)

prune12.0ms (0.4%)

sample0.0ms (0.0%)

series30.0ms (1.0%)

rewrite148.0ms (5.1%)

eval158.0ms (5.5%)

prune37.0ms (1.3%)

sample0.0ms (0.0%)

series19.0ms (0.7%)

rewrite115.0ms (4.0%)

eval213.0ms (7.4%)

prune47.0ms (1.6%)

sample0.0ms (0.0%)

series22.0ms (0.7%)

rewrite188.0ms (6.5%)

eval271.0ms (9.4%)

prune39.0ms (1.3%)

regimes68.0ms (2.4%)

derivations173.0ms (6.0%)

preprocess65.0ms (2.3%)

end0.0ms (0.0%)

Profiling