Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze27.0ms (0.5%)

Memory

-2.4MiB live, 40.0MiB allocated; 5ms 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)

sample2.7s (54.2%)

Memory

104.4MiB live, 2 291.3MiB allocated; 1.2s collecting garbage

Samples

923.0ms	2 366×	1	valid
732.0ms	5 889×	0	valid
389.0ms	1 002×	0	exit
3.0ms	21×	1	exit
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-exp: 419.0ms (24.6% of total)

ival-add!: 383.0ms (22.5% of total)

ival-div!: 257.0ms (15.1% of total)

ival-mult!: 207.0ms (12.2% of total)

adjust: 160.0ms (9.4% of total)

ival-neg: 158.0ms (9.3% of total)

ival-sub!: 116.0ms (6.8% of total)

Bogosity

preprocess77.0ms (1.5%)

Memory

-36.8MiB live, 55.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	180
1	286	162
2	1072	162
3	7794	162

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(/.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

▶

67.4%

(/.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 (0.4%)

Memory

40.9MiB live, 40.9MiB allocated; 0ms collecting garbage

Counts

19 → 104

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 (* 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 (* -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 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 (* -1 (* eps x)))))
#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 (+ (* -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 (* -1 eps)) eps)))
#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 (* eps x)) x)))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x))))
#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)))) (/ (exp (neg (* x (- 1 eps)))) 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 (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x))))
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x 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 (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)

rewrite377.0ms (7.5%)

Memory

-11.5MiB live, 230.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	4182
0	535	3919
1	3983	3916
0	10077	3682
1	27284	3682

Stop Event

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

Counts

123 → 275

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

eval33.0ms (0.7%)

Memory: 0.2MiB live, 92.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 868 to 1 487 computations (61.6% saved)

prune12.0ms (0.2%)

Memory

-22.7MiB live, 23.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	247	6	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(/.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))
▶	29.2%	(/.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))
▶	46.9%	#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)))
	61.8%	#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))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
▶	98.7%	#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)))
▶	46.9%	#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 354 to 322 computations (9% saved)

series75.0ms (1.5%)

Memory

7.1MiB live, 65.9MiB allocated; 35ms collecting garbage

Counts

44 → 159

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	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) (+ (* (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) 1/2) 1) (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (neg (+ eps 1)) (- (/ 1 eps) 1)) (neg (+ eps 1)) (+ eps 1) (- (/ 1 eps) 1) (/ (- (* (+ 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)) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
6.0ms	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) (+ (* (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) 1/2) 1) (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (neg (+ eps 1)) (- (/ 1 eps) 1)) (neg (+ eps 1)) (+ eps 1) (- (/ 1 eps) 1) (/ (- (* (+ 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)) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 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 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) (+ (* (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) 1/2) 1) (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (neg (+ eps 1)) (- (/ 1 eps) 1)) (neg (+ eps 1)) (+ eps 1) (- (/ 1 eps) 1) (/ (- (* (+ 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)) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))
5.0ms	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) (+ (* (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) 1/2) 1) (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (neg (+ eps 1)) (- (/ 1 eps) 1)) (neg (+ eps 1)) (+ eps 1) (- (/ 1 eps) 1) (/ (- (* (+ 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)) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 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 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) (+ (* (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) 1/2) 1) (* (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) x) (- (* (- eps 1) (+ (/ 1 eps) 1)) (* (neg (+ eps 1)) (- (/ 1 eps) 1))) (* (- eps 1) (+ (/ 1 eps) 1)) (+ (/ 1 eps) 1) (/ 1 eps) (* (neg (+ eps 1)) (- (/ 1 eps) 1)) (neg (+ eps 1)) (+ eps 1) (- (/ 1 eps) 1) (/ (- (* (+ 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)) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps))

rewrite269.0ms (5.4%)

Memory

18.4MiB live, 251.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	754	6318
0	818	5784
1	6130	5778
0	8206	5571
1	20354	5571

Stop Event

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

Counts

203 → 470

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

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

eval56.0ms (1.1%)

Memory: 0.2MiB live, 145.0MiB allocated; 20ms collecting garbage
Compiler: Compiled 6 073 to 2 211 computations (63.6% saved)

prune17.0ms (0.3%)

Memory

-1.5MiB live, 44.9MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	374	9	383
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	378	11	389

Accuracy

100.0%

Counts

389 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) 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))
	27.9%	#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 #s(approx (neg (+ eps 1)) (neg.f64 eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	50.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 #s(approx ( (- eps 1) (+ (/ 1 eps) 1)) (/.f64 #s(literal -1 binary64) eps)) (*.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)))
	61.8%	#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))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
	65.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	68.9%	#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)))
▶	83.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
▶	64.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
▶	45.9%	#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 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	69.9%	#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)))
✓	46.9%	#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 738 to 687 computations (6.9% saved)

series31.0ms (0.6%)

Memory

-19.5MiB live, 72.3MiB allocated; 9ms collecting garbage

Counts

42 → 164

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 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(*.f64 x eps)
x
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) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))
(-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 eps (-.f64 eps #s(literal -1 binary64)))
(-.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) 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))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #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)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(exp.f64 (neg.f64 x))
(neg.f64 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) eps) #s(literal 1 binary64))
(/.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 #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)))
(.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 (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 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 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) 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 (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 eps #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(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 (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))))
#s(approx (* (- (exp (neg (* (- 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 (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))))
#s(approx (* (- (exp (neg (* (- 1 eps) 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 (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))))
#s(approx (- (exp (neg (* (- 1 eps) 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 (neg (* (- 1 eps) 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 (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 (* x eps) #s(hole binary64 (* eps x)))
#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 (* -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 (+ (* (- (- eps (- eps -1)) 1) x) 2) #s(hole binary64 (+ 2 (* -2 x))))
#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))))))))
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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 (- (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 (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x))))))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#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 (/ x 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))))) #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)))) (/ (exp (neg (* x (- 1 eps)))) 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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 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 (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x))))))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x)))))))
#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 (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 (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 (- (* (+ 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))))) (/ (exp (neg (* 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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 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) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x 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 (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (- (- eps (- eps -1)) 1) (- eps (- eps -1)) (- eps -1) -1 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (exp (neg x)) eps) (exp (neg x)) (neg x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (/ 1 eps) (/ (- (* (+ 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 (neg x)) (exp (neg x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1))
4.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x 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 (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (- (- eps (- eps -1)) 1) (- eps (- eps -1)) (- eps -1) -1 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (exp (neg x)) eps) (exp (neg x)) (neg x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (/ 1 eps) (/ (- (* (+ 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 (neg x)) (exp (neg x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1))
4.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x 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 (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (- (- eps (- eps -1)) 1) (- eps (- eps -1)) (- eps -1) -1 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (exp (neg x)) eps) (exp (neg x)) (neg x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (/ 1 eps) (/ (- (* (+ 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 (neg x)) (exp (neg x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1))
4.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x 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 (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (- (- eps (- eps -1)) 1) (- eps (- eps -1)) (- eps -1) -1 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (exp (neg x)) eps) (exp (neg x)) (neg x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (/ 1 eps) (/ (- (* (+ 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 (neg x)) (exp (neg x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1))
3.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x 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 (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (- (- eps (- eps -1)) 1) (- eps (- eps -1)) (- eps -1) -1 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (exp (neg x)) eps) (exp (neg x)) (neg x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (/ 1 eps) (/ (- (* (+ 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 (neg x)) (exp (neg x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1))

rewrite385.0ms (7.7%)

Memory

-16.4MiB live, 257.4MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	6692
0	849	6009
1	6764	6009
0	8483	5810
1	20424	5810

Stop Event

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

Counts

206 → 355

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 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(*.f64 x eps)
x
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) (.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp ( (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))
(-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 eps (-.f64 eps #s(literal -1 binary64)))
(-.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) 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))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #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)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(/.f64 (exp.f64 (neg.f64 x)) eps)
(exp.f64 (neg.f64 x))
(neg.f64 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) eps) #s(literal 1 binary64))
(/.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 #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)))
(.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 (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 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 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) 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 (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 eps #s(literal 1 binary64))
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#s(approx (- (exp (* (- eps 1) 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 (- (- eps (- eps -1)) 1) #s(hole binary64 -2))
#s(approx (- eps -1) #s(hole binary64 (+ 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)) (* 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 (+ (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 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 (* -1 eps)) eps)))
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x)))))
#s(approx (- eps 1) #s(hole binary64 (- eps 1)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (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 (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x))))))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x)))))))
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x)))))
#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 (/ x 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))))) #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)))) (/ (exp (neg (* x (- 1 eps)))) 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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 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))))))))))
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#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x))))))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x)))))))
#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 (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 (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 (- (* (+ 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)))))))))
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Outputs
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(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 (+.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
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(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
x
eps
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))
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(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
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(fma.f64 x eps x)
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#s(literal 1/2 binary64)
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(.f64 #s(approx (- (exp (neg ( (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg ( (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (-.f64 (-.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x #s(literal 2 binary64))))
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#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (/ (exp (neg x)) eps) (/.f64 (exp.f64 (neg.f64 x)) eps))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 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 (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)))) eps (exp.f64 (neg.f64 x))))
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#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (.f64 (.f64 x x) (exp.f64 (neg.f64 x)))) eps (.f64 (exp.f64 (neg.f64 x)) x))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps (exp.f64 (neg.f64 x))))
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#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)) (-.f64 (*.f64 x eps) x))
#s(approx eps eps)
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#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) x) eps) (exp.f64 (neg.f64 x))))
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#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))
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#s(approx (neg (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
#s(approx (+ (* x eps) x) (fma.f64 x eps x))
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#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) x)) eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg.f64 x))))) eps (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) x)))) eps (.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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#s(approx (- (- eps (- eps -1)) 1) #s(literal -2 binary64))
#s(approx (- eps -1) (-.f64 eps #s(literal -1 binary64)))
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#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))
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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 -1/6 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))) eps)) eps (exp.f64 (neg.f64 x))) eps))
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
#s(approx (+ (* (- eps 1) x) 1) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
#s(approx (- eps 1) (-.f64 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)) (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 (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (neg (* (- 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x)) 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 (+.f64 (/.f64 x eps) x) eps))
#s(approx (- eps -1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) 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)) (exp.f64 (.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))))) (+.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 (* (+ 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 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 (+ (* (- eps 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) eps) x) 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)) (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) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) 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))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (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 (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) x)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (- (* (+ 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)) (exp.f64 (.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))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#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 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 (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) eps)) (neg.f64 x))))
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))

eval87.0ms (1.7%)

Memory: -4.3MiB live, 88.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 233 to 2 164 computations (65.3% saved)

prune33.0ms (0.7%)

Memory

-10.2MiB live, 36.5MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	369	12	381
Fresh	4	1	5
Picked	5	0	5
Done	0	1	1
Total	378	14	392

Accuracy

100.0%

Counts

392 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (+.f64 (neg.f64 x) #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))
	18.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (exp (neg x)) eps) (/.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))
	61.8%	#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))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
▶	84.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (neg.f64 (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x))))) #s(literal 1/2 binary64)))
▶	65.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) #s(approx (neg (exp (neg (+ ( x eps) x)))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
▶	69.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) #s(approx (neg (exp (neg (+ ( x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	64.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))))) #s(literal 1/2 binary64)))
▶	53.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	53.5%	#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 eps (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	45.9%	#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 #s(approx (- (- eps (- eps -1)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	69.9%	#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)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	2.8%	#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))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
	61.5%	#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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
✓	46.9%	#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 1 008 to 933 computations (7.4% saved)

series32.0ms (0.6%)

Memory

-5.1MiB live, 52.4MiB allocated; 10ms collecting garbage

Counts

38 → 116

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (* (neg eps) x) (neg eps) 1/2 (/ (- (* (+ 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))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (* -2 x) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) 1 (neg (exp (neg (+ (* x eps) x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (+ (* (- eps -1) x) -1) (- eps -1))
8.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (* (neg eps) x) (neg eps) 1/2 (/ (- (* (+ 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))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (* -2 x) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) 1 (neg (exp (neg (+ (* x eps) x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (+ (* (- eps -1) x) -1) (- eps -1))
4.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (* (neg eps) x) (neg eps) 1/2 (/ (- (* (+ 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))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (* -2 x) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) 1 (neg (exp (neg (+ (* x eps) x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (+ (* (- eps -1) x) -1) (- eps -1))
3.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (* (neg eps) x) (neg eps) 1/2 (/ (- (* (+ 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))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (* -2 x) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) 1 (neg (exp (neg (+ (* x eps) x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (+ (* (- eps -1) x) -1) (- eps -1))
3.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (* (neg eps) x) (neg eps) 1/2 (/ (- (* (+ 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))))) (+ (* (- (- eps (- eps -1)) 1) x) 2) (* -2 x) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) 1 (neg (exp (neg (+ (* x eps) x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (+ (* (- eps -1) x) -1) (- eps -1))

rewrite263.0ms (5.3%)

Memory

14.2MiB live, 236.9MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	618	4694
0	639	4122
1	5013	4117
0	8222	3988
1	21503	3988

Stop Event

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

Counts

154 → 230

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

Outputs
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(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x)))))
(.f64 (+.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64))
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(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (neg.f64 (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x)))))
(+.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (neg.f64 (neg.f64 (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x))))))
(+.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x))))
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#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps x)
x
eps
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(exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x)))
(+.f64 (cosh.f64 #s(approx (neg (+ (* x eps) x)) (.f64 (neg.f64 eps) x))) (sinh.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x))))
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))
(.f64 (.f64 x eps) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x eps))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(neg.f64 (*.f64 x eps))
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(*.f64 eps #s(literal -1 binary64))
(neg.f64 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(approx (- (exp (neg ( (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp (neg ( (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (- (exp (neg ( (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 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 (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
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#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
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#s(approx (neg (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
#s(approx (* (neg eps) x) (*.f64 (neg.f64 eps) x))
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#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
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#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 x eps) x))) #s(literal 1/2 binary64)))
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#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) 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 (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal 1 binary64)) x))
#s(approx (+ (* (- eps -1) x) -1) (fma.f64 x eps x))
#s(approx (+ (* (- eps -1) x) -1) (*.f64 (-.f64 (-.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) 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 (exp (neg (+ (* 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 (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
#s(approx (neg (* (- 1 eps) x)) (*.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 (neg (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (- eps -1) x) -1) (neg.f64 (fma.f64 x (-.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 (.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 #s(literal 1/2 binary64) (fma.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 -1/6 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))))) (.f64 eps eps) (-.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(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (.f64 eps eps) (-.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 -1/6 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))))))) (.f64 eps eps) (.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) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/720 binary64) (.f64 (.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))) (.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (.f64 eps eps) (-.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))))) (.f64 eps eps) (.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 -1/6 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))))) #s(literal 1/2 binary64))) (.f64 eps eps) (.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 (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)))) eps (exp.f64 (neg.f64 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 eps (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (.f64 (.f64 x x) (exp.f64 (neg.f64 x))))) eps (.f64 (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 x))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 eps (.f64 x x)) (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) x))) eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (.f64 (.f64 x x) (exp.f64 (neg.f64 x)))) eps (.f64 (exp.f64 (neg.f64 x)) x))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
#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))
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x))
#s(approx eps eps)
#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 (exp.f64 (neg.f64 x)) x) eps) (exp.f64 (neg.f64 x))))
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#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (exp.f64 (neg.f64 x)))) eps) (.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))
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#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
#s(approx (neg eps) (neg.f64 eps))
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#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* x eps) x))))) 1/2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) x)) eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg.f64 x))))) eps (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) 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 (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) (exp.f64 (neg.f64 x))))))) (.f64 (.f64 #s(literal 0 binary64) (.f64 (exp.f64 (neg.f64 x)) 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 (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
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#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* 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 (neg.f64 x)))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps)) (.f64 (exp.f64 (neg.f64 x)) x))) eps)))
#s(approx (+ (* (- eps 1) x) 1) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (- eps 1) x) 1) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64)))
#s(approx (+ (* (- eps -1) x) -1) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (- eps -1) x) -1) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- eps -1) (-.f64 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)) (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 (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (neg (* (- 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) (neg.f64 x)) eps))
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps))
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) eps) x) eps))
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (+ (* (- eps -1) x) -1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps))
#s(approx (- eps -1) (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)) (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) (fma.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) 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))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (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 (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x))))
#s(approx (* (- (exp (* (- eps 1) x)) (neg (exp (neg (+ (* 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 (neg (* (- 1 eps) x))) (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 (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) eps)) (neg.f64 x))))
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (+ (* (- eps -1) x) -1) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) (neg.f64 x))))

eval28.0ms (0.6%)

Memory: 7.8MiB live, 52.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 820 to 1 326 computations (65.3% saved)

prune16.0ms (0.3%)

Memory

35.5MiB live, 35.5MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	1	7	8
Picked	1	4	5
Done	0	1	1
Total	212	16	228

Accuracy

100.0%

Counts

228 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (+.f64 (neg.f64 x) #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))
	18.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (exp (neg x)) eps) (/.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))
	61.8%	#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))) (.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))
✓	65.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) #s(approx (neg (exp (neg (+ ( x eps) x)))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	29.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) #s(approx (neg (exp (neg (+ ( x eps) x)))) #s(approx (+ (* (- eps -1) x) -1) (fma.f64 x eps x)))) #s(literal 1/2 binary64)))
✓	69.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) #s(approx (neg (exp (neg (+ ( x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	54.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (neg.f64 x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	64.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 #s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x))))) #s(literal 1/2 binary64)))
✓	53.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (-.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
	84.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (exp.f64 #s(approx (neg (+ ( x eps) x)) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64)))
	53.5%	#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 eps (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	45.9%	#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 #s(approx (- (- eps (- eps -1)) 1) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	2.8%	#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))))) #s(approx (+ (* (- (- eps (- eps -1)) 1) x) 2) (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
	61.5%	#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))))) #s(approx (+ (exp (neg x)) (exp (neg x))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	69.9%	#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 (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x))))
✓	46.9%	#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 1 015 to 768 computations (24.3% saved)

regimes41.0ms (0.8%)

Memory

-45.3MiB live, 53.1MiB allocated; 18ms collecting garbage

Counts

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

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:

13.0ms	(-.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)))))
8.0ms	eps
8.0ms	x
6.0ms	(/.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
98.7%	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)))))`
98.7%	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))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes29.0ms (0.6%)

Memory

-3.3MiB live, 44.1MiB allocated; 1ms collecting garbage

Counts

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

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

Calls

4 calls:

7.0ms	x
7.0ms	eps
6.0ms	(/.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
84.3%	1	`x`
98.7%	2	`eps`
98.7%	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)))))`
98.7%	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))`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes23.0ms (0.5%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

4 calls:

6.0ms	x
6.0ms	eps
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))
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
83.6%	3	`x`
83.6%	2	`eps`
83.8%	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)))))`
83.8%	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))`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes13.0ms (0.3%)

Memory

-26.4MiB live, 20.2MiB allocated; 2ms collecting garbage

Counts

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

Calls

4 calls:

4.0ms	eps
3.0ms	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
72.6%	2	`x`
76.5%	2	`eps`
76.5%	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)))))`
76.5%	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)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

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

Calls

4 calls:

2.0ms	eps
2.0ms	x
1.0ms	(/.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))
1.0ms	(-.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
61.5%	1	`x`
61.5%	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)))))`
61.5%	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))`
61.5%	1	`eps`

Compiler

Compiled 50 to 40 computations (20% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Accuracy

Total -28.4b remaining (-83.5%)

Threshold costs -28.4b (-83.5%)

Counts

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

Calls

4 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.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)))))
1.0ms	(/.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
46.9%	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)))))`
46.9%	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))`
46.9%	1	`eps`
46.9%	1	`x`

Compiler

Compiled 50 to 40 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0099142817848914	+inf

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0

Compiler

Compiled 28 to 24 computations (14.3% saved)

derivations256.0ms (5.1%)

Memory

-13.8MiB live, 132.3MiB allocated; 57ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 147 to 93 computations (36.7% saved)

preprocess71.0ms (1.4%)

Memory: 27.8MiB live, 72.2MiB allocated; 9ms collecting garbage
Remove: (abs eps)
Compiler: Compiled 840 to 676 computations (19.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze27.0ms (0.5%)

sample2.7s (54.2%)

preprocess77.0ms (1.5%)

series22.0ms (0.4%)

rewrite377.0ms (7.5%)

eval33.0ms (0.7%)

prune12.0ms (0.2%)

series75.0ms (1.5%)

rewrite269.0ms (5.4%)

eval56.0ms (1.1%)

prune17.0ms (0.3%)

series31.0ms (0.6%)

rewrite385.0ms (7.7%)

eval87.0ms (1.7%)

prune33.0ms (0.7%)

series32.0ms (0.6%)

rewrite263.0ms (5.3%)

eval28.0ms (0.6%)

prune16.0ms (0.3%)

regimes41.0ms (0.8%)

regimes29.0ms (0.6%)

regimes23.0ms (0.5%)

regimes13.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations256.0ms (5.1%)

preprocess71.0ms (1.4%)

end0.0ms (0%)

Profiling