Metrics for Asymptote B

start0.0ms (0%)

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

analyze3.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample538.0ms (34.2%)

Memory

54.1MiB live, 709.3MiB allocated; 92ms collecting garbage

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-div!: 103.0ms (57.6% of total)

ival-add!: 40.0ms (22.4% of total)

ival-sub!: 35.0ms (19.6% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess139.0ms (8.8%)

Memory

-74.0MiB live, 51.6MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	49	35
2	228	33
3	1272	33
4	6516	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Symmetry

(abs x)

Compiler

Compiled 22 to 14 computations (36.4% saved)

series3.0ms (0.2%)

Memory

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

Counts

7 → 31

Calls

Call 1

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

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))
1.0ms	x	@	inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))
1.0ms	x	@	0	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

1.0ms

-inf

((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))

1.0ms

inf

((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))

1.0ms

((+ (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) 1 (- x 1) x (/ x (+ x 1)) (+ x 1))

rewrite216.0ms (13.7%)

Memory

16.5MiB live, 199.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	556
0	129	513
1	707	506
0	7766	485

Stop Event

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

Counts

38 → 138

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))

Outputs
(/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (/.f64 (.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 x (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ x (+ x 1)) (-.f64 x (*.f64 x x)))
#s(approx (/ x (+ x 1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x x))
#s(approx (/ x (+ x 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x))
#s(approx (- x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ x (+ x 1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))

eval17.0ms (1.1%)

Memory: -12.5MiB live, 31.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 622 to 451 computations (82.8% saved)

prune3.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	4	131

Accuracy

100.0%

Counts

131 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
▶	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
▶	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 61 to 42 computations (31.1% saved)

series4.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

17 → 36

Calls

Call 1

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

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* x x) -2) -1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) -1) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (/ 1 (- x 1)) (/ x (+ x 1))) -1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (* (* x x) -2) -1) -2 (+ (/ x (- x -1)) (/ 1 (- x 1))) (/ x (- x -1)) (- x -1) (/ 1 (- x 1)) 1 (- x 1))
1.0ms	x	@	inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) -1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (* (* x x) -2) -1) -2 (+ (/ x (- x -1)) (/ 1 (- x 1))) (/ x (- x -1)) (- x -1) (/ 1 (- x 1)) 1 (- x 1))
1.0ms	x	@	-inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) -1 (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (* (* x x) -2) -1) -2 (+ (/ x (- x -1)) (/ 1 (- x 1))) (/ x (- x -1)) (- x -1) (/ 1 (- x 1)) 1 (- x 1))

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite162.0ms (10.3%)

Memory

32.2MiB live, 176.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	699
0	159	652
1	845	639
0	8957	614

Stop Event

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

Counts

53 → 344

Calls

Call 1

Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
#s(literal -2 binary64)
(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))
#s(approx (+ (* (* x x) -2) -1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) -1) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (- x -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (- x -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) x) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 (.f64 (neg.f64 x) x) (.f64 x x))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 2 binary64)))) (.f64 x x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
#s(literal 2 binary64)
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
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(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) x) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ 2 (* x x)) -1) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ x (- x -1)) (-.f64 x (*.f64 x x)))
#s(approx (/ x (- x -1)) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x x))
#s(approx (/ x (- x -1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) #s(literal -1 binary64)))
#s(approx (+ (* (* x x) -2) -1) (.f64 (.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* (* x x) -2) -1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (/ x (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- x -1)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- x -1)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x))
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (/ x (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

eval37.0ms (2.4%)

Memory: -17.5MiB live, 74.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 397 to 1 190 computations (85.8% saved)

prune7.0ms (0.5%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	350	5	355

Accuracy

100.0%

Counts

355 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
▶	2.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 86 to 59 computations (31.4% saved)

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

6 → 12

Calls

Call 1

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

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x)
1.0ms	x	@	inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x)
1.0ms	x	@	0	((+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 2 (* x x)) -1) (/ 2 (* x x)) 2 (* x x) x)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite109.0ms (6.9%)

Memory

-26.4MiB live, 122.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	272
0	58	264
1	305	260
0	3212	246

Stop Event

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

Counts

18 → 76

Calls

Call 1

Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ 2 (* x x)) -1) #s(hole binary64 (/ (+ 2 (pow x 2)) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
#s(literal 2 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x) x #s(literal -1 binary64)))
#s(approx (- (/ 2 (* x x)) -1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ 2 (* x x)) -1) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal -2 binary64) (.f64 x x)))) #s(literal -1 binary64)))

eval6.0ms (0.4%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 013 to 295 computations (85.3% saved)

prune3.0ms (0.2%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	66	5	71

Accuracy

100.0%

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
▶	50.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 74 to 51 computations (31.1% saved)

series1.0ms (0%)

Memory

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

Counts

2 → 8

Calls

Call 1

Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) 1)
0.0ms	x	@	0	((+ (/ 1 (- x 1)) (/ x (+ x 1))) 1)
0.0ms	x	@	-inf	((+ (/ 1 (- x 1)) (/ x (+ x 1))) 1)

rewrite93.0ms (5.9%)

Memory

-25.9MiB live, 78.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	198
0	42	190
1	247	188
0	2586	179

Stop Event

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

Counts

10 → 10

Calls

Call 1

Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -2 (pow x 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow x 2))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))))

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

eval1.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 114 to 30 computations (73.7% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	4	5	9

Accuracy

100.0%

Counts

9 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	50.8%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
✓	50.7%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))
✓	49.2%	#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Compiler

Compiled 184 to 85 computations (53.8% saved)

regimes5.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
100.0%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.2%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
99.2%	2	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.6%)

Memory

-33.3MiB live, 12.2MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
98.7%	2	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))

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

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
98.3%	2	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
49.2%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch10.0ms (0.6%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0007626593658807219	9.481387291903303

Samples

4.0ms

128×

valid

Compiler

Compiled 310 to 227 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div!: 1.0ms (49.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0007626593658807219	9.481387291903303

Compiler

Compiled 262 to 195 computations (25.6% saved)

bsearch1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0007626593658807219	9.481387291903303

Compiler

Compiled 222 to 171 computations (23% saved)

derivations161.0ms (10.2%)

Memory

-33.1MiB live, 112.5MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 130 to 28 computations (78.5% saved)

preprocess33.0ms (2.1%)

Memory: 25.1MiB live, 71.1MiB allocated; 3ms collecting garbage
Remove: (abs x)
Compiler: Compiled 401 to 165 computations (58.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.2%)

sample538.0ms (34.2%)

preprocess139.0ms (8.8%)

series3.0ms (0.2%)

rewrite216.0ms (13.7%)

eval17.0ms (1.1%)

prune3.0ms (0.2%)

series4.0ms (0.2%)

rewrite162.0ms (10.3%)

eval37.0ms (2.4%)

prune7.0ms (0.5%)

series2.0ms (0.1%)

rewrite109.0ms (6.9%)

eval6.0ms (0.4%)

prune3.0ms (0.2%)

series1.0ms (0%)

rewrite93.0ms (5.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

regimes9.0ms (0.6%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch10.0ms (0.6%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

derivations161.0ms (10.2%)

preprocess33.0ms (2.1%)

end0.0ms (0%)

Profiling