Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (43.2%)

Memory

7.6MiB live, 2 553.5MiB allocated; 428ms collecting garbage

Samples

898.0ms	8 128×	1	valid
4.0ms	127×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 661.0ms

ival-sqrt: 348.0ms (52.6% of total)

adjust: 174.0ms (26.3% of total)

ival-sub!: 71.0ms (10.7% of total)

ival-add!: 69.0ms (10.4% of total)

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

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

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

Bogosity

preprocess213.0ms (7.6%)

Memory

-21.0MiB live, 64.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	38	22
2	81	22
3	259	21
4	912	21
5	4898	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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))
1.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite217.0ms (7.7%)

Memory

24.5MiB live, 199.2MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	730
0	135	665
1	827	660
2	3488	594
0	8703	567
1	16009	567

Stop Event

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

Counts

34 → 69

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)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

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

eval7.0ms (0.2%)

Memory: 10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 539 to 238 computations (55.8% saved)

prune6.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	57	7	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	7	65

Accuracy

99.5%

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
▶	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	28.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)))))) x)))
	40.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))) x)))
▶	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) x)))
▶	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

Compiler

Compiled 228 to 204 computations (10.5% saved)

series14.0ms (0.5%)

Memory

-32.8MiB live, 13.9MiB allocated; 5ms collecting garbage

Counts

21 → 61

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 (sqrt x)) -1/8) #s(hole binary64 (/ -1/8 (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/4 (* -3/32 x))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ (* (/ 1 (sqrt x)) -1/8) x) #s(hole binary64 (/ -1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (/ 1 (sqrt x)) -1/8) #s(hole binary64 (/ -1/8 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (sqrt (/ 1 x)) x)) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* (pow x 3) (sqrt (/ 1 x)))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)) (/ (sqrt (/ 1 x)) x)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)) (+ (* 1/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 3)))) (/ (sqrt (/ 1 x)) x))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (sqrt (/ (sqrt (/ 1 x)) x)))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ (sqrt (/ 1 x)) x)) (* 1/4 (/ 1 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x))))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (sqrt (/ (sqrt (/ 1 x)) x)) (/ 1/4 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x)))))) (/ 1/16 (* (pow x 5) (* (pow (sqrt (/ 1 x)) 3) (sqrt (/ (sqrt (/ 1 x)) x)))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ (sqrt (/ 1 x)) x)) (+ (* -1 (/ (+ (* 1/32 (/ 1 (* x (* (pow (sqrt (/ 1 x)) 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 3))))) (* 1/16 (/ 1 (* (pow (sqrt (/ 1 x)) 3) (sqrt (/ (sqrt (/ 1 x)) x)))))) (pow x 5))) (/ 1/4 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x))))))))))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (* (/ 1 (sqrt x)) -1/8) x) #s(hole binary64 (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (/ 1 (sqrt x)) -1/8) #s(hole binary64 (/ 1/8 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (/ (sqrt (/ 1 x)) x) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (sqrt (/ 1 x))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (+ (sqrt (/ 1 x)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (* -1 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* 1/4 (/ 1 (* (pow x 3) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* -1 (/ (- (* 1/4 (/ 1 (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x))))) (* 1/16 (/ 1 (* (pow x 2) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (pow (sqrt (/ 1 x)) 3)))))) (pow x 3))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* -1 (/ (- (+ (/ 1/32 (* (pow x 3) (* (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 3) (pow (sqrt (/ 1 x)) 2)))) (* 1/4 (/ 1 (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x)))))) (/ 1/16 (* (pow x 2) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (pow (sqrt (/ 1 x)) 3))))) (pow x 3))))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))
3.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))

Time

Variable

Point

Expression

7.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))

3.0ms

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))

3.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (/ (* (/ 1 (sqrt x)) -1/8) x) (* (/ 1 (sqrt x)) -1/8) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (neg (sqrt x)))

rewrite159.0ms (5.6%)

Memory

-3.6MiB live, 99.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	1910
0	350	1665
1	2100	1518
0	8608	1473
1	16975	1473

Stop Event

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

Counts

82 → 226

Calls

Call 1

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

Outputs
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 x) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) x))
(neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
#s(literal 1 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))
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) x))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (sqrt.f64 x))))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
(neg.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))))
(neg.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(neg.f64 (-.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(neg.f64 (-.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.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 binary64))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (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))))
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eval27.0ms (1%)

Memory: 40.7MiB live, 40.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 923 to 867 computations (70.3% saved)

prune16.0ms (0.6%)

Memory

-26.1MiB live, 18.8MiB allocated; 5ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	253	9	262
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	255	14	269

Accuracy

99.9%

Counts

269 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
▶	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
✓	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	7.5%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	28.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)))))) x)))
	40.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))) x)))
▶	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	97.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
▶	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
▶	98.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) x)))
▶	98.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)))
	28.2%	#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))) x))
	96.9%	#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))

Compiler

Compiled 497 to 442 computations (11.1% saved)

series13.0ms (0.5%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

34 → 76

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ -1/8 x) 1/2) #s(hole binary64 (/ -1/8 x)))
#s(approx (+ (/ -1/8 x) 1/2) #s(hole binary64 (/ (- (* 1/2 x) 1/8) x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ -1/8 (sqrt x))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (- (* 1/2 x) 1/8)))
#s(approx (/ 1/8 x) #s(hole binary64 (/ 1/8 x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/4 (* -3/32 x))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (+ (/ -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ -1/8 x) 1/2) #s(hole binary64 (- 1/2 (* 1/8 (/ 1 x)))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* x (- 1/2 (* 1/8 (/ 1 x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (sqrt (/ 1 x)) x)) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* (pow x 3) (sqrt (/ 1 x)))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)) (/ (sqrt (/ 1 x)) x)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)) (+ (* 1/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 3)))) (/ (sqrt (/ 1 x)) x))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (sqrt (/ (sqrt (/ 1 x)) x)))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ (sqrt (/ 1 x)) x)) (* 1/4 (/ 1 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x))))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (sqrt (/ (sqrt (/ 1 x)) x)) (/ 1/4 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x)))))) (/ 1/16 (* (pow x 5) (* (pow (sqrt (/ 1 x)) 3) (sqrt (/ (sqrt (/ 1 x)) x)))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* x (+ (sqrt (/ (sqrt (/ 1 x)) x)) (+ (* -1 (/ (+ (* 1/32 (/ 1 (* x (* (pow (sqrt (/ 1 x)) 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 3))))) (* 1/16 (/ 1 (* (pow (sqrt (/ 1 x)) 3) (sqrt (/ (sqrt (/ 1 x)) x)))))) (pow x 5))) (/ 1/4 (* (pow x 3) (* (sqrt (/ 1 x)) (sqrt (/ (sqrt (/ 1 x)) x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/2)))))
#s(approx (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (/ (sqrt (/ 1 x)) x) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (sqrt (/ 1 x))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (+ (sqrt (/ 1 x)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (* -1 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* 1/4 (/ 1 (* (pow x 3) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* -1 (/ (- (* 1/4 (/ 1 (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x))))) (* 1/16 (/ 1 (* (pow x 2) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (pow (sqrt (/ 1 x)) 3)))))) (pow x 3))))))))
#s(approx (sqrt (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (* -1 (/ (- (+ (/ 1/32 (* (pow x 3) (* (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 3) (pow (sqrt (/ 1 x)) 2)))) (* 1/4 (/ 1 (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (sqrt (/ 1 x)))))) (/ 1/16 (* (pow x 2) (* (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) (pow (sqrt (/ 1 x)) 3))))) (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))
3.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))

Time

Variable

Point

Expression

4.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))

3.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))

3.0ms

((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (+ (/ -1/8 x) 1/2)) (/ 1 (sqrt x)) 1 (sqrt x) x (+ (/ -1/8 x) 1/2) (/ -1/8 x) -1/8 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (+ (* 1/2 x) -1/8) (sqrt x)) x) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/ (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) x) (/ (- 1/2 (/ 1/8 x)) (sqrt (/ 1 x))) (- 1/2 (/ 1/8 x)) (/ 1/8 x) 1/8 (sqrt (/ 1 x)) (/ 1 x) (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (sqrt (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (neg (sqrt x)) (sqrt x) (* (sqrt (/ 1 x)) x))

rewrite152.0ms (5.4%)

Memory

-23.4MiB live, 115.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	2270
0	405	1997
1	2295	1835
0	8467	1792
1	16688	1792

Stop Event

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

Counts

110 → 402

Calls

Call 1

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

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

eval46.0ms (1.6%)

Memory: 18.3MiB live, 62.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 611 to 1 652 computations (64.2% saved)

prune16.0ms (0.6%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	393	6	399
Fresh	1	5	6
Picked	3	2	5
Done	0	3	3
Total	397	16	413

Accuracy

99.9%

Counts

413 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
✓	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
✓	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	7.5%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	28.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)))))) x)))
	40.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))) x)))
▶	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
✓	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	97.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
▶	97.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
▶	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
	98.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
	68.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) x))))
▶	98.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))))
	28.2%	#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))) x))

Compiler

Compiled 511 to 465 computations (9% saved)

series119.0ms (4.2%)

Memory

-31.0MiB live, 59.0MiB allocated; 91ms collecting garbage

Counts

25 → 49

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (- (/ -1/8 x) -1/2) #s(hole binary64 (/ -1/8 x)))
#s(approx (- (/ -1/8 x) -1/2) #s(hole binary64 (/ (- (* 1/2 x) 1/8) x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (/ (sqrt x) x) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ -1/8 (sqrt x))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (- (* 1/2 x) 1/8)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (pow x -1/2))))
#s(approx (pow x -1/2) #s(hole binary64 (pow x -1/2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (- (/ -1/8 x) -1/2) #s(hole binary64 1/2))
#s(approx (- (/ -1/8 x) -1/2) #s(hole binary64 (- 1/2 (* 1/8 (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (/ (sqrt x) x) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* x (- 1/2 (* 1/8 (/ 1 x))))))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (pow (/ 1 x) 1/2))))
#s(approx (pow x -1/2) #s(hole binary64 (pow (/ 1 x) 1/2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (* (/ (sqrt x) x) 1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (/ -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) #s(hole binary64 (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))))
#s(approx (+ (* 1/2 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/2)))))

Calls

3 calls:

Time	Variable		Point	Expression
76.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))
27.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))
14.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))

Time

Variable

Point

Expression

76.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))

27.0ms

((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))

14.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (/ (- (/ -1/8 x) -1/2) (sqrt x)) (- (/ -1/8 x) -1/2) (/ -1/8 x) -1/8 x -1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (* (/ (sqrt x) x) 1/2) (/ (sqrt x) x) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) (- (/ -1/8 x) -1/2)) (/ 1 (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (* (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/ 1 x)) (/ (+ (* 1/2 x) -1/8) (sqrt x)) (+ (* 1/2 x) -1/8) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (* (pow x -1/2) 1/2) (pow x -1/2))

rewrite238.0ms (8.4%)

Memory

15.4MiB live, 204.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1079
0	214	960
1	990	894
2	3866	807
0	9108	797
1	22927	797

Stop Event

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

Counts

74 → 2 063

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x) (.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) x))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal -1/2 binary64)))) (neg.f64 (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)))) (neg.f64 (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x))) x)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x) (.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal -1/2 binary64))) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) x)
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) x))
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(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x) (neg.f64 (neg.f64 (sqrt.f64 x))))
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(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)) (neg.f64 (neg.f64 (neg.f64 x))))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) x))
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(neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
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(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(sqrt.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fabs.f64 (/.f64 (sqrt.f64 x) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 0 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (/ -1/8 x) -1/2) (/.f64 #s(literal -1/8 binary64) x))
#s(approx (- (/ -1/8 x) -1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (/ (sqrt x) x) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)))
#s(approx (+ (* 1/2 x) -1/8) #s(literal -1/8 binary64))
#s(approx (+ (* 1/2 x) -1/8) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ (sqrt x) x) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (pow.f64 x #s(literal -6 binary64))))) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (/ -1/8 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ -1/8 x) -1/2) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (/ (sqrt x) x) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* 1/2 x) -1/8) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) -1/8) (*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (* (/ (sqrt x) x) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 (.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (pow.f64 x #s(literal -6 binary64))))) x)))
#s(approx (/ (- (/ -1/8 x) -1/2) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
#s(approx (sqrt x) (neg.f64 (sqrt.f64 x)))
#s(approx (* (/ (sqrt x) x) 1/2) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* 1/2 x) -1/8) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* 1/2 x) -1/8) (*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) x))

eval105.0ms (3.7%)

Memory: 0.8MiB live, 135.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 8 366 to 2 965 computations (64.6% saved)

prune29.0ms (1%)

Memory

-7.6MiB live, 44.2MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	958	5	963
Fresh	4	2	6
Picked	2	3	5
Done	0	5	5
Total	964	15	979

Accuracy

99.9%

Counts

979 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
✓	7.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
✓	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	7.5%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x)))
	66.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 x) x)))
✓	97.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	40.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))))
	28.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (pow.f64 x #s(literal -6 binary64))))) x) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))))
✓	97.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
✓	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64))))
	97.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	52.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (/ (* (/ 1 (sqrt x)) -1/8) x)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))))
	28.2%	#s(approx (+ (* (sqrt (sqrt (- x -1))) (sqrt (sqrt (- x -1)))) (neg (sqrt x))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 x x))))) x))

Compiler

Compiled 557 to 390 computations (30% saved)

regimes14.0ms (0.5%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

derivations147.0ms (5.2%)

Memory

7.5MiB live, 99.1MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 31 to 23 computations (25.8% saved)

preprocess48.0ms (1.7%)

Memory: -24.6MiB live, 66.0MiB allocated; 21ms collecting garbage
Remove: (abs x)
Compiler: Compiled 136 to 127 computations (6.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.2s (43.2%)

preprocess213.0ms (7.6%)

series4.0ms (0.1%)

rewrite217.0ms (7.7%)

eval7.0ms (0.2%)

prune6.0ms (0.2%)

series14.0ms (0.5%)

rewrite159.0ms (5.6%)

eval27.0ms (1%)

prune16.0ms (0.6%)

series13.0ms (0.5%)

rewrite152.0ms (5.4%)

eval46.0ms (1.6%)

prune16.0ms (0.6%)

series119.0ms (4.2%)

rewrite238.0ms (8.4%)

eval105.0ms (3.7%)

prune29.0ms (1%)

regimes14.0ms (0.5%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

derivations147.0ms (5.2%)

preprocess48.0ms (1.7%)

end0.0ms (0%)

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