Metrics for sqrt times

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
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)

sample683.0ms (53.1%)

Memory

47.2MiB live, 1 212.3MiB allocated; 297ms collecting garbage

Samples

483.0ms	8 248×	0	valid
1.0ms	8×	1	valid
0.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-sqrt: 198.0ms (68.5% of total)

ival-sub!: 54.0ms (18.7% of total)

ival-mult!: 36.0ms (12.4% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess92.0ms (7.2%)

Memory

-37.6MiB live, 62.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series13.0ms (1%)

Memory

21.2MiB live, 21.2MiB 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	Expression
4.0ms	x	@	0	((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) x 1 (sqrt x))
1.0ms	x	@	inf	((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) x 1 (sqrt x))
1.0ms	x	@	-inf	((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) x 1 (sqrt x))

rewrite40.0ms (3.1%)

Memory

-4.0MiB live, 39.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	42	17
0	282	17

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

6 → 43

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

eval6.0ms (0.5%)

Memory: 12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 585 to 297 computations (49.2% saved)

prune3.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Accuracy

99.8%

Counts

64 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	0.0%	(*.f64 (sqrt.f64 #s(approx (- x 1) #s(literal -1 binary64))) (sqrt.f64 x))
▶	97.0%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	57.1%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Compiler

Compiled 39 to 38 computations (2.6% saved)

series64.0ms (5%)

Memory

13.4MiB live, 109.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1631

Stop Event

1×	iter-limit

Counts

20 → 59

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
17.0ms	x	@	inf	((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
9.0ms	x	@	-inf	((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

Time

Variable

Point

Expression

29.0ms

((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

17.0ms

inf

((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

9.0ms

-inf

((sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) x 1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) (sqrt x) (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) -1 (* (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4))) (sqrt (- x 1)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

rewrite66.0ms (5.1%)

Memory

-8.8MiB live, 81.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	104
0	37	92
1	105	85
0	526	85

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

20 → 192

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(approx (- x 1) #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 #s(approx (- x 1) #s(literal -1 binary64)))
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

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

eval24.0ms (1.9%)

Memory: 14.9MiB live, 59.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 101 to 847 computations (59.7% saved)

prune12.0ms (1%)

Memory

-35.1MiB live, 16.9MiB allocated; 11ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	236	4	240
Fresh	0	0	0
Picked	3	1	4
Done	1	0	1
Total	240	5	245

Accuracy

100.0%

Counts

245 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(*.f64 (sqrt.f64 x) #s(approx (sqrt (- x 1)) (/.f64 x (sqrt.f64 x))))
▶	96.9%	(.f64 #s(approx (sqrt (- x 1)) #s(approx ( x (sqrt (/ 1 x))) (sqrt.f64 x))) (sqrt.f64 x))
✓	57.1%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	0.0%	(sqrt.f64 (*.f64 #s(approx (- x 1) #s(literal -1 binary64)) x))
▶	99.0%	#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 45 to 43 computations (4.4% saved)

series13.0ms (1%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1088

Stop Event

1×	iter-limit

Counts

19 → 52

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) x (- 1 (* 1/2 (/ 1 x))) 1 (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) -1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt x) (* (sqrt x) (sqrt (- x 1))) (sqrt (- x 1)) (/ x (sqrt x)))
2.0ms	x	@	0	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) x (- 1 (* 1/2 (/ 1 x))) 1 (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) -1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt x) (* (sqrt x) (sqrt (- x 1))) (sqrt (- x 1)) (/ x (sqrt x)))
2.0ms	x	@	inf	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) x (- 1 (* 1/2 (/ 1 x))) 1 (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) -1 (* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (* x (sqrt (/ 1 x))) (sqrt x) (* (sqrt x) (sqrt (- x 1))) (sqrt (- x 1)) (/ x (sqrt x)))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite54.0ms (4.2%)

Memory

-23.0MiB live, 22.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	36	117
1	114	109
0	701	109

Stop Event

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

Counts

19 → 105

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

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

eval13.0ms (1%)

Memory: 19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 282 to 646 computations (49.6% saved)

prune4.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	0	0	0
Picked	4	0	4
Done	0	1	1
Total	149	3	152

Accuracy

100.0%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.0%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.1%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

57.1%

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

▶

99.0%

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

▶

1.1%

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

Compiler

Compiled 26 to 26 computations (0% saved)

series4.0ms (0.3%)

Memory

7.6MiB live, 7.6MiB 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	Expression
1.0ms	x	@	-inf	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) -1/2 (sqrt (* (- x 1) x)) (- x 1/2) x 1/2)
1.0ms	x	@	0	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) -1/2 (sqrt (* (- x 1) x)) (- x 1/2) x 1/2)
1.0ms	x	@	inf	((sqrt (* (- x 1) x)) (* x (- 1 (* 1/2 (/ 1 x)))) -1/2 (sqrt (* (- x 1) x)) (- x 1/2) x 1/2)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite53.0ms (4.1%)

Memory

-23.0MiB live, 68.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	16	33
1	93	33
0	746	33

Stop Event

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

Counts

7 → 32

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 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(*.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)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 (-.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (/.f64 (-.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal -1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1/8 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(neg.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal 1/2 binary64)

eval4.0ms (0.3%)

Memory: 10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 324 to 184 computations (43.2% saved)

prune3.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	39	3	42

Accuracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.1%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	99.0%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
✓	1.1%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

57.1%

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

✓

99.0%

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

✓

1.1%

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

Compiler

Compiled 90 to 77 computations (14.4% saved)

regimes75.0ms (5.8%)

Memory

-51.5MiB live, 22.0MiB allocated; 97ms collecting garbage

Counts

11 → 1

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 (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(approx (- x 1) #s(literal -1 binary64)) x))
(.f64 #s(approx (sqrt (- x 1)) #s(approx ( x (sqrt (/ 1 x))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(approx (- x 1) #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(approx (sqrt (- x 1)) (/.f64 x (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 x #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))

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

Calls

2 calls:

71.0ms	x
3.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.3%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))

Calls

2 calls:

1.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms	x

Results

Accuracy	Segments	Branch
1.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.1%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations6.0ms (0.4%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 21 computations (0% saved)

preprocess47.0ms (3.6%)

Memory: -3.4MiB live, 48.6MiB allocated; 8ms collecting garbage
Remove: (abs x)
Compiler: Compiled 81 to 81 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample683.0ms (53.1%)

preprocess92.0ms (7.2%)

series13.0ms (1%)

rewrite40.0ms (3.1%)

eval6.0ms (0.5%)

prune3.0ms (0.2%)

series64.0ms (5%)

rewrite66.0ms (5.1%)

eval24.0ms (1.9%)

prune12.0ms (1%)

series13.0ms (1%)

rewrite54.0ms (4.2%)

eval13.0ms (1%)

prune4.0ms (0.3%)

series4.0ms (0.3%)

rewrite53.0ms (4.1%)

eval4.0ms (0.3%)

prune3.0ms (0.2%)

regimes75.0ms (5.8%)

regimes5.0ms (0.4%)

regimes2.0ms (0.2%)

derivations6.0ms (0.4%)

preprocess47.0ms (3.6%)

end0.0ms (0%)

Profiling