Metrics for 2sqrt (example 3.1)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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)

sample1.1s (39.0%)

Memory

37.7MiB live, 1 112.3MiB allocated; 328ms collecting garbage

Samples

787.0ms	8 128×	1	valid
4.0ms	127×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-sqrt: 268.0ms (46.9% of total)

adjust: 206.0ms (36.1% of total)

ival-add!: 60.0ms (10.5% of total)

ival-sub!: 37.0ms (6.5% 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

preprocess39.0ms (1.4%)

Memory

-19.3MiB live, 26.0MiB allocated; 6ms 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
▶	7.4%	(-.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

0.2MiB live, 0.2MiB 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

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	709

Stop Event

1×	iter-limit

Counts

6 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
2.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite125.0ms (4.3%)

Memory

20.6MiB live, 117.7MiB allocated; 12ms 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
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Outputs
x
#s(literal 1 binary64)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3/2 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 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.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 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (-.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 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.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 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)))
(.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
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(/.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)))
(*.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)))

eval35.0ms (1.2%)

Memory: 3.5MiB live, 49.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 830 to 1 457 computations (75.0% saved)

prune16.0ms (0.6%)

Memory

-28.3MiB live, 18.3MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	357	8	365
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	357	9	366

Accuracy

99.4%

Counts

366 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	5.7%	(/.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)))))))
	7.8%	(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	7.4%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 x))
	4.3%	(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
▶	63.7%	#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))
▶	96.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	1.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Compiler

Compiled 293 to 198 computations (32.4% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB 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)

series29.0ms (1.0%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1831

Stop Event

1×	iter-limit

Counts

35 → 70

Calls

Call 1

Inputs
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.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(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 x))
(-.f64 x #s(literal -1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/8 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 3 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)))
(/.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 1/8 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 (.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 (-.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 #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 x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#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 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (* (- 1 (/ -1 x)) x) #s(literal 1 binary64))
#s(approx (* (- 1 (/ -1 x)) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (* (- 1 (/ -1 x)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (* (- 1 (/ -1 x)) x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (* (- 1 (/ -1 x)) x)) (+.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 (+ (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 (/ (- (- 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 (/ 1 (sqrt (/ 1 x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 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 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x))
#s(approx (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#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 (- (* 1/2 (/ 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)))) (* 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 (sqrt (/ 1 x)) (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 (/ 1/2 (* x (sqrt (/ 1 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 (- 1 (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (sqrt x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (/ -1 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (- 1 (/ -1 x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* (- 1 (/ -1 x)) x)) (.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 (* (- 1 (/ -1 x)) x)) (.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 (* (- 1 (/ -1 x)) x)) (.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 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 (sqrt (/ 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (pow (sqrt (/ 1 x)) 3) (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 (/ 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 (* 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 (- (* 1/2 (/ 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 (- (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 (- 1 (sqrt x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* (- 1 (/ -1 x)) x)) (.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 (* (- 1 (/ -1 x)) x)) (.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 (* (- 1 (/ -1 x)) x)) (.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
7.0ms	x	0
6.0ms	x	-inf
4.0ms	x	inf

rewrite230.0ms (8.0%)

Memory

-31.6MiB live, 398.9MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	268
0	64	223
1	336	222
2	1088	196
0	4179	193

Stop Event

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

Counts

35 → 1 545

Calls

Call 1

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

eval183.0ms (6.4%)

Memory: 30.9MiB live, 251.0MiB allocated; 51ms collecting garbage
Compiler: Compiled 52 312 to 8 387 computations (84.0% saved)

prune37.0ms (1.3%)

Memory

11.8MiB live, 57.7MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 648	5	1 653
Fresh	2	1	3
Picked	5	0	5
Done	-4	5	1
Total	1 651	11	1 662

Accuracy

100.0%

Counts

1 662 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))
▶	7.8%	(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	7.4%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 x))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
▶	96.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
✓	96.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	97.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
✓	1.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	97.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 259 to 194 computations (25.1% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/9007199254740992 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)

series28.0ms (1.0%)

Memory

-14.5MiB live, 30.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	1905

Stop Event

1×	iter-limit

Counts

24 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
5.0ms	x	0
3.0ms	x	-inf
3.0ms	x	inf

rewrite228.0ms (7.9%)

Memory

-11.2MiB live, 339.0MiB allocated; 126ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	47	169
1	199	166
2	620	158
3	2226	158
0	4323	158

Stop Event

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

Counts

24 → 926

Calls

Call 1

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

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

eval165.0ms (5.7%)

Memory: 24.1MiB live, 249.1MiB allocated; 52ms collecting garbage
Compiler: Compiled 37 768 to 5 291 computations (86.0% saved)

prune32.0ms (1.1%)

Memory

26.6MiB live, 71.9MiB allocated; 8ms collecting garbage

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 496	5	1 501
Fresh	0	1	1
Picked	5	0	5
Done	-1	6	5
Total	1 500	12	1 512

Accuracy

100.0%

Counts

1 512 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))
✓	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))
▶	7.8%	(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
▶	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x))
✓	97.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
✓	1.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
✓	97.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 281 to 209 computations (25.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
-1/8
-1/2
1/2
2
6369051672525773/9007199254740992
(sqrt 1/2)

Outputs
#s(literal 1 binary64)
#s(literal -1/8 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 9 computations (10.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series31.0ms (1.1%)

Memory

-10.1MiB live, 45.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	2365

Stop Event

1×	iter-limit

Counts

28 → 85

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal -1/8 binary64)
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
(sqrt.f64 x)
(/.f64 (sqrt.f64 x) x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(literal 1/2 binary64)
(*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 6369051672525773/9007199254740992 binary64)
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))

Outputs
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ -1/8 x) (/.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 (/ 1 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 (/ 1 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 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) (sqrt.f64 x))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ 1/2 (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (/ (/ 1/2 (sqrt (/ 1 x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* 2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 2 x) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (+ (* 2 x) 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (-.f64 (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (neg (sqrt x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (-.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x)))
#s(approx (sqrt (/ 1 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 (/ 1 x)) (- (/ -1/8 x) -1/2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (/ 1 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 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) (*.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 (+ (* 2 x) 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) 2) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* 2 x) 2)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 x (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 x (-.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (neg (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 x (-.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 x (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))) (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) x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (* 2 x) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (* (sqrt (+ (* 2 x) 2)) 6369051672525773/9007199254740992) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (sqrt (+ (* 2 x) 2)) (sqrt 1/2)) (neg (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

Calls

3 calls:

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

rewrite217.0ms (7.5%)

Memory

-27.1MiB live, 270.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	182
0	53	181
1	219	175
2	666	174
3	2227	164
0	4467	164

Stop Event

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

Counts

28 → 884

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal -1/8 binary64)
(/.f64 #s(literal -1/8 binary64) x)
#s(literal -1/2 binary64)
(-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
(sqrt.f64 x)
(/.f64 (sqrt.f64 x) x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(literal 1/2 binary64)
(*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 6369051672525773/9007199254740992 binary64)
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))

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

eval148.0ms (5.1%)

Memory: 36.1MiB live, 357.9MiB allocated; 46ms collecting garbage
Compiler: Compiled 28 167 to 4 035 computations (85.7% saved)

prune30.0ms (1.0%)

Memory

-24.6MiB live, 65.8MiB allocated; 12ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	1 192	4	1 196
Fresh	0	1	1
Picked	5	0	5
Done	-2	8	6
Total	1 195	13	1 208

Accuracy

100.0%

Counts

1 208 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.0%	(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64) (neg.f64 (sqrt.f64 x)))
✓	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))
✓	7.8%	(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
✓	7.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) x))
✓	97.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
✓	1.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	98.4%	#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))))
	98.6%	#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))))
	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓	97.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))

Compiler

Compiled 199 to 152 computations (23.6% saved)

regimes45.0ms (1.6%)

Memory

23.7MiB live, 80.7MiB allocated; 9ms collecting garbage

Counts

1 → 1

3 → 1

11 → 1

19 → 1

23 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

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
#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 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.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) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) 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 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64) (neg.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 4

Inputs
#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 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.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) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) 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 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
#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))))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))

Call 5

Inputs
#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 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.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) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))) 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 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal 6369051672525773/9007199254740992 binary64) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
#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))))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)))
(/.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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))

Calls

10 calls:

7.0ms	x
6.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
1.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.6%	1	`x`
97.3%	1	`x`
97.3%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.4%	1	`x`
97.4%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`

Compiler

Compiled 424 to 140 computations (67.0% saved)

derivations64.0ms (2.2%)

Memory

-1.3MiB live, 45.3MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 85 to 30 computations (64.7% saved)

preprocess61.0ms (2.1%)

Memory: -9.2MiB live, 81.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 276 to 180 computations (34.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample1.1s (39.0%)

preprocess39.0ms (1.4%)

sample0.0ms (0.0%)

series12.0ms (0.4%)

rewrite125.0ms (4.3%)

eval35.0ms (1.2%)

prune16.0ms (0.6%)

sample0.0ms (0.0%)

series29.0ms (1.0%)

rewrite230.0ms (8.0%)

eval183.0ms (6.4%)

prune37.0ms (1.3%)

sample0.0ms (0.0%)

series28.0ms (1.0%)

rewrite228.0ms (7.9%)

eval165.0ms (5.7%)

prune32.0ms (1.1%)

sample0.0ms (0.0%)

series31.0ms (1.1%)

rewrite217.0ms (7.5%)

eval148.0ms (5.1%)

prune30.0ms (1.0%)

regimes45.0ms (1.6%)

derivations64.0ms (2.2%)

preprocess61.0ms (2.1%)

end0.0ms (0.0%)

Profiling