Metrics for sqrt times

start0.0ms (0%)

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

analyze66.0ms (1.8%)

Memory

-38.3MiB live, 3.0MiB allocated; 222ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample751.0ms (20.6%)

Memory

71.8MiB live, 620.2MiB allocated; 667ms collecting garbage

Samples

577.0ms	8 250×	0	valid
1.0ms	15×	0	invalid
0.0ms	6×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-sqrt: 387.0ms (86.2% of total)

ival-mult!: 33.0ms (7.3% of total)

ival-sub!: 28.0ms (6.2% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess72.0ms (2%)

Memory

-35.8MiB live, 52.0MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	42	21
2	92	19
3	323	19
4	1616	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series10.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	640

Stop Event

1×	iter-limit

Counts

6 → 26

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite348.0ms (9.5%)

Memory

-23.8MiB live, 282.8MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	26	17
2	53	17
3	181	17
4	973	17
0	4086	17
0	11122	17

Stop Event

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

Counts

6 → 551

Calls

Call 1

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

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

eval63.0ms (1.7%)

Memory: 36.1MiB live, 169.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 9 273 to 2 118 computations (77.2% saved)

prune19.0ms (0.5%)

Memory

3.5MiB live, 54.4MiB allocated; 12ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	561	10	571
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	561	11	572

Accuracy

99.9%

Counts

572 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
	98.8%	(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x (E.f64)) (E.f64))) (sqrt.f64 (E.f64))) (sqrt.f64 x))
	99.0%	(.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))
	98.9%	(.f64 (.f64 (sqrt.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (sqrt.f64 x))
▶	98.8%	(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x (E.f64)) (E.f64)) (E.f64))) (sqrt.f64 x))
▶	99.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
▶	99.1%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
	66.9%	(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	97.9%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Compiler

Compiled 233 to 182 computations (21.9% saved)

series32.0ms (0.9%)

Memory

-28.9MiB live, 59.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2517

Stop Event

1×	iter-limit

Counts

29 → 95

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
6.0ms	x	0
5.0ms	x	inf
4.0ms	x	-inf

rewrite516.0ms (14.1%)

Memory

57.6MiB live, 765.4MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	54	134
1	154	101
2	581	100
0	4174	100
0	12292	100

Stop Event

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

Counts

29 → 6 791

Calls

Call 1

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

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

eval888.0ms (24.3%)

Memory: 34.4MiB live, 1 382.9MiB allocated; 286ms collecting garbage
Compiler: Compiled 119 594 to 17 161 computations (85.7% saved)

prune94.0ms (2.6%)

Memory

-8.7MiB live, 271.6MiB allocated; 37ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	5 389	1	5 390
Fresh	5	0	5
Picked	4	1	5
Done	0	1	1
Total	5 398	3	5 401

Accuracy

100.0%

Counts

5 401 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.1%	#s(approx (sqrt (* (- x 1) x)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

Status

Accuracy

Program

✓

99.2%

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

✓

51.4%

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

▶

99.1%

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

series6.0ms (0.2%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	382

Stop Event

1×	iter-limit

Counts

8 → 21

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite239.0ms (6.5%)

Memory

-58.8MiB live, 221.6MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	15	35
1	42	27
2	112	27
3	432	27
0	4070	27
0	8543	27

Stop Event

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

Counts

8 → 874

Calls

Call 1

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

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

eval96.0ms (2.6%)

Memory: 21.4MiB live, 206.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 18 790 to 3 699 computations (80.3% saved)

prune19.0ms (0.5%)

Memory

-3.4MiB live, 41.4MiB allocated; 12ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	887	2	889
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	889	3	892

Accuracy

100.0%

Counts

892 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.1%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.0%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

51.4%

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

▶

99.1%

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

▶

1.0%

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

series5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	318

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	0
0.0ms	x	inf

rewrite158.0ms (4.3%)

Memory

3.5MiB live, 234.3MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	16	41
1	45	33
2	118	33
3	444	33
0	4109	33
0	8628	33

Stop Event

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

Counts

7 → 203

Calls

Call 1

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

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

eval23.0ms (0.6%)

Memory: -14.0MiB live, 44.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 112 to 675 computations (83.6% saved)

prune6.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	210	3	213

Accuracy

100.0%

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	99.1%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
✓	1.0%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

51.4%

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

✓

99.1%

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

✓

1.0%

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes24.0ms (0.7%)

Memory

1.4MiB live, 48.1MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

10 → 1

14 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

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

Call 3

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

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

Call 4

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

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

Calls

8 calls:

6.0ms	x
4.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	x
2.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
1.0%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.0%	1	`x`
99.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.1%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`

Compiler

Compiled 196 to 100 computations (49% saved)

derivations139.0ms (3.8%)

Memory

-3.3MiB live, 43.8MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess77.0ms (2.1%)

Memory: -21.7MiB live, 73.2MiB allocated; 44ms collecting garbage
Remove: (abs x)
Compiler: Compiled 145 to 106 computations (26.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze66.0ms (1.8%)

sample751.0ms (20.6%)

preprocess72.0ms (2%)

series10.0ms (0.3%)

rewrite348.0ms (9.5%)

eval63.0ms (1.7%)

prune19.0ms (0.5%)

series32.0ms (0.9%)

rewrite516.0ms (14.1%)

eval888.0ms (24.3%)

prune94.0ms (2.6%)

series6.0ms (0.2%)

rewrite239.0ms (6.5%)

eval96.0ms (2.6%)

prune19.0ms (0.5%)

series5.0ms (0.1%)

rewrite158.0ms (4.3%)

eval23.0ms (0.6%)

prune6.0ms (0.2%)

regimes24.0ms (0.7%)

derivations139.0ms (3.8%)

preprocess77.0ms (2.1%)

end0.0ms (0%)

Profiling