Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

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

analyze62.0ms (1%)

Memory

-9.2MiB live, 36.5MiB allocated; 13ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	9
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	10
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	11
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.4s (36.5%)

Memory

47.7MiB live, 3 213.6MiB allocated; 767ms collecting garbage

Samples

869.0ms	5 888×	0	valid
830.0ms	2 368×	1	valid
114.0ms	972×	0	exit
4.0ms	26×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 458.0ms (32.7% of total)

ival-mult!: 232.0ms (16.6% of total)

ival-div!: 179.0ms (12.8% of total)

ival-neg: 177.0ms (12.6% of total)

ival-sub!: 126.0ms (9% of total)

adjust: 118.0ms (8.4% of total)

ival-add!: 111.0ms (7.9% of total)

Bogosity

preprocess65.0ms (1%)

Memory

-24.0MiB live, 21.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	181
1	282	162
2	1154	162
3	6856	162

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

72.7%

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Symmetry

(abs eps)

Compiler

Compiled 50 to 38 computations (24% saved)

series22.0ms (0.3%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Counts

19 → 123

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x)))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x)))
#s(approx (* (- 1 eps) x) #s(hole binary64 x))
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
3.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)
2.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2)

rewrite189.0ms (2.9%)

Memory

12.0MiB live, 241.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	524	4373
0	554	4106
1	3832	4100
0	9230	3859

Stop Event

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

Counts

142 → 306

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x)))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x)))
#s(approx (* (- 1 eps) x) #s(hole binary64 x))
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 x))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (+ 1 eps) #s(hole binary64 1))
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x)))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 eps) #s(hole binary64 eps))
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x)))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps)))))))
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))

Outputs
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (.f64 eps eps))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (.f64 eps eps)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (.f64 eps eps))) (.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal 1/120 binary64) (fma.f64 (-.f64 (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (neg.f64 x))) #s(literal 1/720 binary64) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 7 binary64) (neg.f64 x))) #s(literal 1/5040 binary64))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (neg.f64 x))) #s(literal -1/720 binary64) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 7 binary64) (neg.f64 x))) #s(literal -1/5040 binary64)))) (.f64 eps eps) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal 1/24 binary64)))) (fma.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (neg.f64 x))) #s(literal -1/24 binary64) (.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 5 binary64) (neg.f64 x))) #s(literal -1/120 binary64)))) (.f64 eps eps) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64)))) (.f64 eps eps))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 eps (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x)) eps (.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)))) eps (.f64 (exp.f64 (neg.f64 x)) x))) (.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))
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#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
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#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (.f64 (.f64 eps (.f64 x x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal 1/6 binary64))) eps (.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))))
#s(approx (neg (* (- 1 eps) x)) (neg.f64 x))
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#s(approx (* (- 1 eps) x) x)
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal -1/6 binary64))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
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#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 x x) (exp.f64 (neg.f64 x))) (.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal -1/6 binary64))) eps (.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x))
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#s(approx (* (+ 1 eps) x) x)
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x))
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#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64)))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))))
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64))
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#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
#s(approx (neg (* (- 1 eps) x)) (*.f64 (+.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x))
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 (/.f64 x eps) x) eps))
#s(approx (- 1 eps) (neg.f64 eps))
#s(approx (- 1 eps) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 eps) 1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (* (+ 1 eps) x) (*.f64 x eps))
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps))
#s(approx (+ 1 eps) eps)
#s(approx (+ 1 eps) (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) eps) #s(literal -1/2 binary64) (.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) eps)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))))
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x)))
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) x)))
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) x)))
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) x)))

eval58.0ms (0.9%)

Memory: -35.3MiB live, 68.1MiB allocated; 38ms collecting garbage
Compiler: Compiled 4 323 to 1 655 computations (61.7% saved)

prune9.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	274	8	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	275	8	283

Accuracy

100.0%

Counts

283 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	72.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	37.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	38.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	45.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
▶	99.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
▶	45.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 450 to 398 computations (11.6% saved)

series38.0ms (0.6%)

Memory

16.3MiB live, 62.7MiB allocated; 3ms collecting garbage

Counts

46 → 294

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 1))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* x (- eps 1))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)))
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (neg x) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (pow (exp -1) (* (- 1 eps) x)) (exp -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
7.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (neg x) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (pow (exp -1) (* (- 1 eps) x)) (exp -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
5.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (neg x) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (pow (exp -1) (* (- 1 eps) x)) (exp -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
5.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (neg x) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (pow (exp -1) (* (- 1 eps) x)) (exp -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
4.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (neg x) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (pow (exp -1) (* (- 1 eps) x)) (exp -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))

rewrite1.0s (16.1%)

Memory

-104.5MiB live, 303.5MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1142	10446
0	1211	9426
0	9065	9097

Stop Event

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

Counts

340 → 612

Calls

Call 1

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

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

eval62.0ms (1%)

Memory: 20.4MiB live, 108.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 069 to 2 692 computations (66.6% saved)

prune51.0ms (0.8%)

Memory

5.2MiB live, 57.2MiB allocated; 20ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	459	19	478
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	466	20	486

Accuracy

100.0%

Counts

486 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶	31.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	99.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	23.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
	45.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	45.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
▶	99.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	64.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	63.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	85.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
▶	65.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
▶	16.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	69.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	45.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 402 to 1 285 computations (8.3% saved)

series63.0ms (1%)

Memory

4.2MiB live, 52.0MiB allocated; 4ms collecting garbage

Counts

41 → 259

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (- (* 1/2 (* x (- (* 1/2 (pow (- eps 1) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) 1)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ (* 1/2 (* x (- (* 1/6 (pow (- eps 1) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (* 1/2 (- (* 1/2 (pow (- eps 1) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))))) 1)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (* x (- (* 1/2 (pow (- eps 1) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) 2)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (* x (- (* 1/6 (pow (- eps 1) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) 2)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 1))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- eps 1)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* x (- eps 1))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))))) 1)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))))))) 1)))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps))))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3)))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 1))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 eps)))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2)))))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (+ (* -1 (* x (* (+ 1 (/ 1 eps)) (- 1 eps)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (+ (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (+ (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (+ (* -1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))))) (/ 1 eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 1))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2))))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2)))))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* x (- x 2))))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* x (- x 2)))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2)))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
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Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (exp (neg x)) (neg x))
10.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (exp (neg x)) (neg x))
8.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (exp (neg x)) (neg x))
4.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (exp (neg x)) (neg x))
3.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+ (/ 1 eps) 1) (/ 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (exp (neg x)) (neg x))

rewrite227.0ms (3.5%)

Memory

11.5MiB live, 200.9MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1187	10037
0	1230	8632
0	9415	8431

Stop Event

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

Counts

300 → 458

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
x
(neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
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#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
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#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(literal 1 binary64))
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
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(.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)
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#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3)))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 1))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 eps)))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2)))))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* x (- (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (+ (* -1 (* x (* (+ 1 (/ 1 eps)) (- 1 eps)))) (/ 1 eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ 1 (+ (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps))) (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (/ 1 eps)))))
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#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
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#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (/ (- (+ (exp (* -1 x)) (* eps (- (+ (exp (* -1 x)) (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (- (+ (* 1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* x (exp (* -1 x))))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))) (* x (exp (* -1 x))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (exp (neg x))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (/ (exp (* -1 x)) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (/ (+ (exp (* -1 x)) (* eps (+ (exp (* -1 x)) (* x (exp (* -1 x)))))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (/ (+ (exp (* -1 x)) (* eps (+ (exp (* -1 x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))) (* x (exp (* -1 x))))))) eps)))
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#s(approx (+ (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 eps) eps)))
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps)))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps)))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))))
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#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x)))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x))))))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps x)))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (* -1 (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (* -1 (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (/ (exp (* -1 (* x (- 1 eps)))) eps))))
#s(approx (+ (/ 1 eps) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 eps) 1) #s(hole binary64 (+ 1 (/ 1 eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps)))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
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#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))))
#s(approx (* (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (- (pow (exp -1) (* (- 1 eps) x)) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
#s(approx (pow (exp -1) (* (- 1 eps) x)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))

Outputs
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(.f64 (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))))
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#s(approx (exp (+ (* x eps) x)) (exp.f64 (fma.f64 x eps x)))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1/2 binary64)))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 (neg.f64 x) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (/.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))) (exp.f64 (neg.f64 x)))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))
#s(approx (+ (exp (neg x)) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))))) (.f64 eps eps) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/120 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (neg.f64 x)))) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (.f64 eps eps) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))))))) (.f64 eps eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/5040 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (exp.f64 (neg.f64 x)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x))))) (.f64 eps eps) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/120 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (neg.f64 x)))) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))))) (.f64 eps eps))) (.f64 eps eps))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x x) (exp.f64 x)))) eps (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))) eps)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 x)) (fma.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/3 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))))) eps)) eps)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x x) (exp.f64 x)))) eps (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x)))) (exp.f64 (neg.f64 x)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 eps (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 x)) (fma.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/3 binary64)))) eps) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x)))) eps (exp.f64 (neg.f64 x)))))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (neg.f64 x)))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x))))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) eps) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) eps)))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) eps) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64))) eps (/.f64 x (exp.f64 x))) eps)))
#s(approx (* (- eps 1) x) (neg.f64 x))
#s(approx (* (- eps 1) x) (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
#s(approx (- eps 1) #s(literal -1 binary64))
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64)))
#s(approx eps eps)
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (-.f64 (.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) eps (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (fma.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/3 binary64))) eps)) (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 (.f64 (neg.f64 eps) (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (neg.f64 x) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/3 binary64)))) (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps) (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
#s(approx (exp (+ (* x eps) x)) (exp.f64 x))
#s(approx (exp (+ (* x eps) x)) (+.f64 (exp.f64 x) (.f64 (.f64 (exp.f64 x) x) eps)))
#s(approx (exp (+ (* x eps) x)) (+.f64 (exp.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps (.f64 x x)) (exp.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) x)) eps)))
#s(approx (exp (+ (* x eps) x)) (+.f64 (exp.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (exp.f64 x) (.f64 (.f64 x x) x)) eps) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (exp.f64 x))) eps (*.f64 (exp.f64 x) x)) eps)))
#s(approx (+ (* x eps) x) x)
#s(approx (+ (* x eps) x) (fma.f64 x eps x))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) eps (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x)))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))) eps)) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (.f64 (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))))) eps (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x)))))) eps)) eps)) eps))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) eps) (exp.f64 (neg.f64 x)))) eps))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x)))) (/.f64 x (exp.f64 x)))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) eps)) (exp.f64 (neg.f64 x))) eps))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (-.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))))) (/.f64 x (exp.f64 x)))) (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x)))) eps (/.f64 x (exp.f64 x)))) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) eps)) (exp.f64 (neg.f64 x))) eps))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) eps)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) eps (/.f64 x (exp.f64 x)))) eps)) eps))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64))) eps (/.f64 x (exp.f64 x)))) (/.f64 x (exp.f64 x)))) eps)) eps))
#s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (+ (/ 1 eps) 1) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) eps)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) eps)) eps)) eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64))) eps (/.f64 x (exp.f64 x)))) eps)) eps)) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x x) (exp.f64 x)))) eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))) eps)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x)) (exp.f64 x))) eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x x) (exp.f64 x)))))) eps)) eps)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) eps)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x x) (exp.f64 x)))) eps (/.f64 x (exp.f64 x)))) eps)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x x) (exp.f64 x))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x)) (exp.f64 x))) eps)) (/.f64 x (exp.f64 x)))) eps)))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (neg.f64 x)))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x))))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) eps) #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) eps)))
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) eps) #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64))) eps (/.f64 x (exp.f64 x))) eps)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) eps) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (exp.f64 x)))) eps) (exp.f64 (neg.f64 x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) eps) #s(literal 1/6 binary64) (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps) (neg.f64 (/.f64 x (exp.f64 x)))) eps) (exp.f64 (neg.f64 x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 x)))
#s(approx (/ 1 (exp (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 x)) eps) #s(literal 1/2 binary64))) eps)))
#s(approx (/ 1 (exp (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 x)) eps) #s(literal -1/6 binary64) (.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal 1/2 binary64))) eps)) eps)))
#s(approx (neg (+ (* x eps) x)) (neg.f64 x))
#s(approx (neg (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) eps))))
#s(approx (* (- eps 1) x) (*.f64 x eps))
#s(approx (* (- eps 1) x) (*.f64 (+.f64 x (/.f64 (neg.f64 x) eps)) eps))
#s(approx (- eps 1) eps)
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (+ (* x eps) x) (*.f64 x eps))
#s(approx (+ (* x eps) x) (*.f64 (+.f64 x (/.f64 x eps)) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) eps))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (-.f64 (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps)) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) eps)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps)))
#s(approx (+ (/ 1 eps) 1) #s(literal 1 binary64))
#s(approx (+ (/ 1 eps) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) eps)))
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 eps) 1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) eps) #s(literal -1/2 binary64) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (* (- eps 1) x) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 x) (/.f64 x eps))))
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 x) (/.f64 (neg.f64 x) eps))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) eps) #s(literal -1/2 binary64) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))))
#s(approx (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))) eps))) (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)))))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (neg.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x))) (/.f64 (exp.f64 (.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64)) x)) eps)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (.f64 (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))))
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (+.f64 x (/.f64 x eps))))

eval52.0ms (0.8%)

Memory: -9.6MiB live, 81.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 008 to 2 513 computations (64.1% saved)

prune39.0ms (0.6%)

Memory

-3.5MiB live, 51.6MiB allocated; 7ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	382	15	397
Fresh	6	8	14
Picked	4	1	5
Done	0	1	1
Total	392	25	417

Accuracy

100.0%

Counts

417 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	18.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	99.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	23.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
	45.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
	63.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	64.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	85.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	85.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	65.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
▶	65.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	2.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
▶	10.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
▶	16.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	69.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	59.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))) x)))
	21.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
	1.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
▶	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
✓	45.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 839 to 1 645 computations (10.5% saved)

series27.0ms (0.4%)

Memory

-3.2MiB live, 43.4MiB allocated; 2ms collecting garbage

Counts

46 → 241

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3)))))))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 1))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2)))))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* x (- 1 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps)))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (- (* 1/2 (* x (- (* 1/2 (pow (- eps 1) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) 1)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ (* 1/2 (* x (- (* 1/6 (pow (- eps 1) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (* 1/2 (- (* 1/2 (pow (- eps 1) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))))) 1)))))
#s(approx (+ 1 (neg x)) #s(hole binary64 1))
#s(approx (+ 1 (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* -2 x)))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* x (- x 2))))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* x (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* -2 x))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (+ 2 (* x (- x 2)))))
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#s(approx (* (/ x (exp x)) 2) #s(hole binary64 (* x (+ 2 (* -2 x)))))
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#s(approx (/ x (exp x)) #s(hole binary64 x))
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#s(approx (* (- eps 1) x) #s(hole binary64 (* x (- eps 1))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 -1))
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#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))))))) 1)))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 1))
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#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3)))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 1))
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#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x)))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* x (- eps 1))) (/ 1 (exp (+ x (* eps x))))))))
#s(approx (+ 1 (neg x)) #s(hole binary64 (* -1 x)))
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#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* 1/2 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* x (+ (* 1/2 (- (exp (neg x)) (* -1 (exp (neg x))))) (* 1/2 (/ (- (exp (neg x)) (* -1 (exp (neg x)))) x))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (exp (neg x)) (* -1 (exp (neg x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (+ (exp (neg x)) (/ (exp (neg x)) x)) (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x)))))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* 2 (* x (exp (neg x))))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (* 2 (exp (neg x)))))
#s(approx (+ 2 (* (- x 2) x)) #s(hole binary64 (pow x 2)))
#s(approx (+ 2 (* (- x 2) x)) #s(hole binary64 (* (pow x 2) (- 1 (* 2 (/ 1 x))))))
#s(approx (+ 2 (* (- x 2) x)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))))
#s(approx (* (- x 2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x 2) x) #s(hole binary64 (* (pow x 2) (- 1 (* 2 (/ 1 x))))))
#s(approx (- x 2) #s(hole binary64 x))
#s(approx (- x 2) #s(hole binary64 (* x (- 1 (* 2 (/ 1 x))))))
#s(approx (* (/ x (exp x)) 2) #s(hole binary64 (* 2 (/ x (exp x)))))
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* x (- eps 1))) (/ 1 (exp (+ x (* eps x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* x (- eps 1)))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* x (- eps 1))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* x (- (+ eps (/ 1 x)) 1))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp (+ x (* eps x))))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp (+ x (* eps x))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp (+ x (* eps x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x)))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x))))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (- (* -1 x) (* eps x))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (- (* -1 x) (* eps x)))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (- 1 (* -1 eps))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* x (- (* -1 eps) 1)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* x (- eps 1))) (/ 1 (exp (- (* eps x) (* -1 x))))))))
#s(approx (+ 1 (neg x)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1/2 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x)) (* 1/2 (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (exp (* -1 x))) (* -1 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x))) (exp (* -1 x)))))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* 2 (* x (exp (* -1 x))))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (* 2 (exp (* -1 x)))))
#s(approx (+ 2 (* (- x 2) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (- x 2) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 x)) 1)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* x (- eps 1))) (/ 1 (exp (- (* eps x) (* -1 x)))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp (- (* eps x) (* -1 x))))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp (- (* eps x) (* -1 x))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp (- (* eps x) (* -1 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x)))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x))))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (exp (* -1 x))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 x))
#s(approx (* x (- 1 eps)) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (+ (* x eps) x) #s(hole binary64 x))
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (- (* x (exp (* -1 x))) (/ x (exp x))))) (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* x (exp (* -1 x))) (/ x (exp x)))))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* x (exp (* -1 x))) (/ x (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (* 1/2 (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (/ 1 (exp x)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (* x (exp (* -1 x))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (+ (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* x (exp (* -1 x)))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (- (* 1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* x (exp (* -1 x)))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x)))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- eps 1) x) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (- eps 1) #s(hole binary64 -1))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (/ (* eps x) (exp x)) (/ 1 (exp x)))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (+ (* 1/2 (/ (pow x 2) (exp x))) (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* -1 (/ (* eps x) (exp x))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp x)))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (* x (exp x))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x)))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps x)))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* x (- 1 eps))) (exp -1) -1 (* x (- 1 eps)) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+ 1 (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (+ 2 (* (- x 2) x)) 2 (* (- x 2) x) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (* (/ x (exp x)) 2) (/ x (exp x)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (+ 1 (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)))
6.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* x (- 1 eps))) (exp -1) -1 (* x (- 1 eps)) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+ 1 (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (+ 2 (* (- x 2) x)) 2 (* (- x 2) x) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (* (/ x (exp x)) 2) (/ x (exp x)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (+ 1 (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)))
3.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* x (- 1 eps))) (exp -1) -1 (* x (- 1 eps)) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+ 1 (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (+ 2 (* (- x 2) x)) 2 (* (- x 2) x) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (* (/ x (exp x)) 2) (/ x (exp x)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (+ 1 (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)))
2.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* x (- 1 eps))) (exp -1) -1 (* x (- 1 eps)) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+ 1 (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (+ 2 (* (- x 2) x)) 2 (* (- x 2) x) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (* (/ x (exp x)) 2) (/ x (exp x)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (+ 1 (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)))
2.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (pow (exp -1) (* x (- 1 eps))) (exp -1) -1 (* x (- 1 eps)) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+ 1 (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (+ (exp (neg x)) (exp (neg x))) (+ 2 (* (- x 2) x)) 2 (* (- x 2) x) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ (exp (neg x)) (exp (neg x))) x) (* (/ x (exp x)) 2) (/ x (exp x)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (- eps 1) x)) (+ 1 (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)))

rewrite186.0ms (2.9%)

Memory

17.0MiB live, 196.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1029	7555
0	1077	6419
1	7850	6419
0	8027	6180

Stop Event

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

Counts

287 → 483

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
(.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x))
(.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)
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#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x)))))))
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (exp (* -1 x))) (* -1 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x))) (exp (* -1 x)))))))
#s(approx (* (+ (exp (neg x)) (exp (neg x))) x) #s(hole binary64 (* 2 (* x (exp (* -1 x))))))
#s(approx (+ (exp (neg x)) (exp (neg x))) #s(hole binary64 (* 2 (exp (* -1 x)))))
#s(approx (+ 2 (* (- x 2) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))))
#s(approx (- x 2) #s(hole binary64 (* -1 (* x (- (* 2 (/ 1 x)) 1)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* x (- eps 1))) (/ 1 (exp (- (* eps x) (* -1 x)))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp (- (* eps x) (* -1 x))))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp (- (* eps x) (* -1 x))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp (- (* eps x) (* -1 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x)))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x))))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (exp (* -1 x))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 x))
#s(approx (* x (- 1 eps)) #s(hole binary64 (+ x (* -1 (* eps x)))))
#s(approx (- 1 eps) #s(hole binary64 1))
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))))
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x)))
#s(approx (+ (* x eps) x) #s(hole binary64 x))
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (- (* x (exp (* -1 x))) (/ x (exp x))))) (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- (* x (exp (* -1 x))) (/ x (exp x)))))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (* -1 x)) (/ 1 (exp x)))) (* eps (+ (* 1/2 (- (* x (exp (* -1 x))) (/ x (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (* 1/2 (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (/ 1 (exp x)))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (* x (exp (* -1 x))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (+ (* eps (- (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* x (exp (* -1 x)))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (- (* 1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* x (exp (* -1 x)))) (/ x (exp x)))) (/ 1 (exp x))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x)))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- eps 1) x) #s(hole binary64 (+ (* -1 x) (* eps x))))
#s(approx (- eps 1) #s(hole binary64 -1))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp x))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (/ (* eps x) (exp x)) (/ 1 (exp x)))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (+ (* 1/2 (/ (pow x 2) (exp x))) (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp x))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* -1 (/ (* eps x) (exp x))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp x)))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (* x (exp x))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x)))))))
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps)))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps)))
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps)))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* eps x)))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps x)))
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps (+ x (* -1 (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 eps))
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))))
#s(approx (* (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
#s(approx (- (pow (exp -1) (* x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))
#s(approx (pow (exp -1) (* x (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps)))))))
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps))))))
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x))))))
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x))))))))
#s(approx (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x)))))))
#s(approx (exp (* (- eps 1) x)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
#s(approx (+ 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))))
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps))))))
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1)))))

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

eval245.0ms (3.8%)

Memory: -21.3MiB live, 123.9MiB allocated; 24ms collecting garbage
Compiler: Compiled 6 005 to 2 689 computations (55.2% saved)

prune70.0ms (1.1%)

Memory

9.8MiB live, 134.2MiB allocated; 40ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	408	15	423
Fresh	4	14	18
Picked	5	0	5
Done	0	2	2
Total	417	31	448

Accuracy

100.0%

Counts

448 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	18.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	91.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
	23.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
	45.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
	63.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	85.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
	65.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
	50.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	76.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	69.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	10.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
	10.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
	10.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
	16.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
	16.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	3.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	52.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	59.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))) x)))
	21.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
	1.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
	50.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
	44.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
	2.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
✓	45.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 999 to 1 489 computations (25.5% saved)

regimes84.0ms (1.3%)

Memory

20.2MiB live, 171.6MiB allocated; 58ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

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

Calls

4 calls:

37.0ms	eps
19.0ms	x
14.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
11.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

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

Compiler

Compiled 50 to 40 computations (20% saved)

regimes58.0ms (0.9%)

Memory

-21.1MiB live, 86.2MiB allocated; 21ms collecting garbage

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))

Outputs

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

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
15.0ms	eps
13.0ms	x
9.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

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

Compiler

Compiled 50 to 40 computations (20% saved)

regimes48.0ms (0.7%)

Memory

13.7MiB live, 58.8MiB allocated; 6ms collecting garbage

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

4 calls:

16.0ms	eps
12.0ms	x
9.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
9.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
99.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
87.7%	2	`x`
99.2%	2	`eps`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes40.0ms (0.6%)

Memory

-8.1MiB live, 37.6MiB allocated; 5ms collecting garbage

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 #s(approx (- eps 1) eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

3 calls:

20.0ms

eps

9.0ms

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

9.0ms

(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

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

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes44.0ms (0.7%)

Memory

8.1MiB live, 54.6MiB allocated; 2ms collecting garbage

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) #s(approx (+ (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) eps) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (pow (exp -1) ( x (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (pow (exp -1) (* (- 1 eps) x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (/.f64 (+.f64 x x) (exp.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (pow (exp -1) ( (- 1 eps) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ ( x eps) x)) (fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp ( (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (+ (* x eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x (+.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))

Outputs

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

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

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

Calls

4 calls:

11.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
11.0ms	eps
11.0ms	x
8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.1%	3	`x`
79.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
79.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
83.8%	3	`eps`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes18.0ms (0.3%)

Memory

-25.3MiB live, 23.4MiB allocated; 9ms collecting garbage

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
86.7%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes56.0ms (0.9%)

Memory

1.4MiB live, 44.8MiB allocated; 6ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
7.0ms	x
7.0ms	eps
6.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
79.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
79.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
79.4%	2	`eps`
79.4%	2	`x`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes39.0ms (0.6%)

Memory

12.0MiB live, 57.9MiB allocated; 2ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	eps
7.0ms	x
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
5.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
69.7%	1	`x`
69.7%	1	`eps`
69.7%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
69.7%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes23.0ms (0.4%)

Memory

7.6MiB live, 52.1MiB allocated; 5ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	eps
5.0ms	x
4.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
4.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
52.9%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
52.9%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
52.9%	1	`eps`
63.5%	2	`x`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-39.7MiB live, 18.2MiB allocated; 6ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
58.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) #s(approx (+ 2 ( (- x 2) x)) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (* (- eps 1) x)) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(approx (+ 1 (neg x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (-.f64 #s(literal 2 binary64) (+.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 #s(approx (- x 2) x) x))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (* (+ (exp (neg x)) (exp (neg x))) x) (*.f64 (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (- ( (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (.f64 #s(approx (+ (exp (neg x)) (exp (neg x))) (+.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal 2 binary64)) x))) x)) #s(literal 1/2 binary64)))

Outputs

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

Calls

3 calls:

5.0ms

3.0ms

(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

3.0ms

(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
52.9%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
52.9%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
52.9%	1	`x`

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes16.0ms (0.3%)

Memory

-12.3MiB live, 33.5MiB allocated; 4ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	eps
4.0ms	x
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
53.0%	2	`x`
48.4%	2	`eps`
52.6%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
52.6%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.2%)

Memory

-25.8MiB live, 20.5MiB allocated; 3ms collecting garbage

Accuracy

Total -28.2b remaining (-80.9%)

Threshold costs -28.2b (-80.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Calls

4 calls:

4.0ms	eps
2.0ms	x
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
45.6%	1	`eps`
45.6%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
45.6%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
45.6%	1	`x`

Compiler

Compiled 50 to 40 computations (20% saved)

bsearch21.0ms (0.3%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.878855369837218e-6	0.01516992505459842

Samples

10.0ms	128×	0	valid
1.0ms	12×	0	exit

Compiler

Compiled 592 to 584 computations (1.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 2.0ms (24.9% of total)

ival-mult!: 2.0ms (24.9% of total)

ival-sub!: 1.0ms (12.5% of total)

ival-add!: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% of total)

ival-div!: 1.0ms (12.5% of total)

adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.878855369837218e-6	0.01516992505459842

Compiler

Compiled 584 to 576 computations (1.4% saved)

bsearch46.0ms (0.7%)

Memory

-16.8MiB live, 28.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
35.0ms	8.18135278460738e+42	4.74904707131386e+49
7.0ms	-2.7009596545992227e-261	-2.8151506331976635e-265

Samples

13.0ms	162×	0	valid
4.0ms	14×	1	valid

Compiler

Compiled 920 to 836 computations (9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 3.0ms (23.4% of total)

ival-mult!: 3.0ms (23.4% of total)

ival-div!: 2.0ms (15.6% of total)

ival-neg: 2.0ms (15.6% of total)

ival-add!: 1.0ms (7.8% of total)

adjust: 1.0ms (7.8% of total)

ival-sub!: 1.0ms (7.8% of total)

bsearch17.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
14.0ms	8.18135278460738e+42	4.74904707131386e+49
0.0ms	-2.7009596545992227e-261	-2.8151506331976635e-265

Samples

9.0ms

112×

valid

Compiler

Compiled 909 to 825 computations (9.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 2.0ms (31.2% of total)

ival-exp: 1.0ms (15.6% of total)

ival-sub!: 1.0ms (15.6% of total)

ival-add!: 1.0ms (15.6% of total)

ival-neg: 1.0ms (15.6% of total)

ival-div!: 1.0ms (15.6% of total)

adjust: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
2.0ms	8.18135278460738e+42	4.74904707131386e+49
0.0ms	-2.7009596545992227e-261	-2.8151506331976635e-265

Compiler

Compiled 898 to 814 computations (9.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	120.80395667947901	+inf

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch72.0ms (1.1%)

Memory

-12.3MiB live, 37.1MiB allocated; 36ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	7.2617990233202335e-6	6.574543097887488

Samples

55.0ms	60×	1	valid
7.0ms	84×	0	valid

Compiler

Compiled 671 to 627 computations (6.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-neg: 41.0ms (71.5% of total)

ival-exp: 6.0ms (10.5% of total)

adjust: 3.0ms (5.2% of total)

ival-mult!: 3.0ms (5.2% of total)

ival-div!: 2.0ms (3.5% of total)

ival-add!: 1.0ms (1.7% of total)

ival-sub!: 1.0ms (1.7% of total)

bsearch85.0ms (1.3%)

Memory

35.6MiB live, 123.4MiB allocated; 15ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
80.0ms	-33415812029711.605	-16.32313507814004

Samples

47.0ms	48×	1	valid
10.0ms	112×	0	valid
6.0ms	44×	1	exit

Compiler

Compiled 852 to 784 computations (8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-exp: 40.0ms (70.4% of total)

ival-mult!: 5.0ms (8.8% of total)

adjust: 4.0ms (7% of total)

ival-div!: 3.0ms (5.3% of total)

ival-neg: 2.0ms (3.5% of total)

ival-sub!: 2.0ms (3.5% of total)

ival-add!: 1.0ms (1.8% of total)

bsearch22.0ms (0.3%)

Memory

0.9MiB live, 44.1MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.2617990233202335e-6	6.574543097887488

Samples

11.0ms	28×	1	valid
5.0ms	52×	0	valid

Compiler

Compiled 770 to 690 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 3.0ms (32.2% of total)

ival-mult!: 2.0ms (21.4% of total)

adjust: 1.0ms (10.7% of total)

ival-add!: 1.0ms (10.7% of total)

ival-sub!: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

ival-div!: 1.0ms (10.7% of total)

bsearch19.0ms (0.3%)

Memory

-30.0MiB live, 29.1MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.2617990233202335e-6	6.574543097887488

Samples

6.0ms	25×	1	valid
3.0ms	39×	0	valid

Compiler

Compiled 770 to 690 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 3.0ms (39% of total)

adjust: 1.0ms (13% of total)

ival-sub!: 1.0ms (13% of total)

ival-mult!: 1.0ms (13% of total)

ival-neg: 1.0ms (13% of total)

ival-div!: 1.0ms (13% of total)

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

derivations692.0ms (10.7%)

Memory

23.2MiB live, 595.6MiB allocated; 81ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 323 to 198 computations (38.7% saved)

preprocess155.0ms (2.4%)

Memory: 5.0MiB live, 385.6MiB allocated; 36ms collecting garbage
Remove: (abs eps)
Compiler: Compiled 2 242 to 1 709 computations (23.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze62.0ms (1%)

sample2.4s (36.5%)

preprocess65.0ms (1%)

series22.0ms (0.3%)

rewrite189.0ms (2.9%)

eval58.0ms (0.9%)

prune9.0ms (0.1%)

series38.0ms (0.6%)

rewrite1.0s (16.1%)

eval62.0ms (1%)

prune51.0ms (0.8%)

series63.0ms (1%)

rewrite227.0ms (3.5%)

eval52.0ms (0.8%)

prune39.0ms (0.6%)

series27.0ms (0.4%)

rewrite186.0ms (2.9%)

eval245.0ms (3.8%)

prune70.0ms (1.1%)

regimes84.0ms (1.3%)

regimes58.0ms (0.9%)

regimes48.0ms (0.7%)

regimes40.0ms (0.6%)

regimes44.0ms (0.7%)

regimes18.0ms (0.3%)

regimes11.0ms (0.2%)

regimes56.0ms (0.9%)

regimes39.0ms (0.6%)

regimes23.0ms (0.4%)

regimes9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch21.0ms (0.3%)

bsearch2.0ms (0%)

bsearch46.0ms (0.7%)

bsearch17.0ms (0.3%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch72.0ms (1.1%)

bsearch85.0ms (1.3%)

bsearch22.0ms (0.3%)

bsearch19.0ms (0.3%)

derivations692.0ms (10.7%)

preprocess155.0ms (2.4%)

end0.0ms (0%)

Profiling