Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

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

analyze46.0ms (0.5%)

Memory

-57.2MiB live, 62.1MiB allocated; 30ms 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)

sample3.3s (34.7%)

Memory

-21.6MiB live, 3 926.5MiB allocated; 1.4s collecting garbage

Samples

1.4s	2 322×	1	valid
908.0ms	5 934×	0	valid
236.0ms	963×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-neg: 547.0ms (24.3% of total)

ival-exp: 428.0ms (19% of total)

ival-mult: 410.0ms (18.2% of total)

ival-div: 298.0ms (13.3% of total)

ival-sub: 221.0ms (9.8% of total)

adjust: 208.0ms (9.3% of total)

ival-add: 116.0ms (5.2% of total)

exact: 10.0ms (0.4% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain404.0ms (4.2%)

Memory

-11.1MiB live, 516.2MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	4	(-1.190579658859095e-236 1.3622543246486254e-6)	-	`(-.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)))))`
0	0	-	-	`(/.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))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.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)))))`	cancellation	71	0

Confusion

	Predicted +	Predicted -
+	67	0
-	4	185

Precision

0.9436619718309859

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	4	0	185

Precision?

0.9436619718309859

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

82.0ms	374×	0	valid
49.0ms	138×	1	valid

Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-neg: 27.0ms (28.6% of total)

ival-exp: 16.0ms (17% of total)

ival-mult: 15.0ms (15.9% of total)

ival-sub: 10.0ms (10.6% of total)

ival-div: 9.0ms (9.5% of total)

adjust: 9.0ms (9.5% of total)

ival-add: 7.0ms (7.4% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess179.0ms (1.9%)

Memory

-21.9MiB live, 167.6MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	157
1	172	145
2	538	137
3	2367	135
0	19	29
0	34	29
1	72	29
2	181	27
3	727	27
4	3450	27
0	8073	26

Stop Event

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

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))

Outputs

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

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.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

▶

74.6%

(/.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 29 to 19 computations (34.5% saved)

simplify0.0ms (0%)

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

series25.0ms (0.3%)

Memory

-0.2MiB live, 43.9MiB allocated; 5ms 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
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 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)))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(* x (- eps 1))
(* x (- 1 eps))
x
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* 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)
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* -1 (* x (+ 1 eps)))
(* x (+ 1 eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(exp (- (* eps x) x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg (+ x (* eps x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(exp (neg (* x (- 1 eps))))
(* -1 (* x (- 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (neg (* x (+ 1 eps))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (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))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ 1 eps)
(/ (+ 1 eps) eps)
eps
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (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))))))
(* -1 x)
(- (* eps x) x)
(+ x (* -1 (* eps x)))
(+ 1 (* -1 eps))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ (+ 1 (* -1 eps)) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (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)))))))))
(- (* -1 (* eps x)) x)
(+ x (* eps x))
(+ 1 eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
-1
(* eps (- (* -1 (/ x eps)) x))
(* eps (+ x (/ x eps)))
(* eps (+ 1 (/ 1 eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -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)
4.0ms	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)

simplify172.0ms (1.8%)

Memory

36.5MiB live, 228.8MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	2340
1	1363	2097
2	6300	2078
0	8331	1958

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 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)))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(* x (- eps 1))
(* x (- 1 eps))
x
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* 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)
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* -1 (* x (+ 1 eps)))
(* x (+ 1 eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(exp (- (* eps x) x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg (+ x (* eps x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(exp (neg (* x (- 1 eps))))
(* -1 (* x (- 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (neg (* x (+ 1 eps))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (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))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ 1 eps)
(/ (+ 1 eps) eps)
eps
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (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))))))
(* -1 x)
(- (* eps x) x)
(+ x (* -1 (* eps x)))
(+ 1 (* -1 eps))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ (+ 1 (* -1 eps)) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (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)))))))))
(- (* -1 (* eps x)) x)
(+ x (* eps x))
(+ 1 eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
-1
(* eps (- (* -1 (/ x eps)) x))
(* eps (+ x (/ x eps)))
(* eps (+ 1 (/ 1 eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))

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

rewrite229.0ms (2.4%)

Memory

-12.0MiB live, 400.6MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	34	141
1	129	138
2	868	135
0	8685	125

Stop Event

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

Counts

19 → 735

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
(*.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64))
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(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) eps))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps eps)))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 eps #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

eval171.0ms (1.8%)

Memory: 13.8MiB live, 278.4MiB allocated; 83ms collecting garbage
Compiler: Compiled 40 084 to 4 372 computations (89.1% saved)

prune23.0ms (0.2%)

Memory

-29.9MiB live, 60.3MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	844	8	852
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	845	8	853

Accuracy

100.0%

Counts

853 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.6%	(/.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)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	72.6%	(/.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 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	40.6%	(/.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))
▶	36.7%	(/.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))
▶	44.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	42.3%	#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) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 1 binary64)))
	55.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
▶	42.3%	#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 752 to 482 computations (35.9% saved)

simplify1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

series61.0ms (0.6%)

Memory

8.7MiB live, 108.8MiB allocated; 10ms collecting garbage

Counts

76 → 238

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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) -1 (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (- -1 eps) (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (exp (neg x)) (neg x) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120)) (pow x 4) 4 1/24 (* (pow x 5) 1/120) (pow x 5) 5 1/120 (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4)))) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))) -1/120 (* -1/24 (pow x 4)) -1/24 (* eps eps) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6))) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)) (* 1/2 x) 1/2 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x)))) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))) -1/6 (* -1/2 (* x x)) -1/2 (* x x) (/ (+ 1 x) (exp x)) (+ 1 x) (exp x) (/ (+ (* -1 x) -1) (exp x)) (+ (* -1 x) -1))
11.0ms	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) -1 (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (- -1 eps) (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (exp (neg x)) (neg x) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120)) (pow x 4) 4 1/24 (* (pow x 5) 1/120) (pow x 5) 5 1/120 (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4)))) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))) -1/120 (* -1/24 (pow x 4)) -1/24 (* eps eps) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6))) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)) (* 1/2 x) 1/2 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x)))) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))) -1/6 (* -1/2 (* x x)) -1/2 (* x x) (/ (+ 1 x) (exp x)) (+ 1 x) (exp x) (/ (+ (* -1 x) -1) (exp x)) (+ (* -1 x) -1))
10.0ms	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) -1 (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) -1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 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 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (- -1 eps) (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (exp (neg x)) (neg x) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120)) (pow x 4) 4 1/24 (* (pow x 5) 1/120) (pow x 5) 5 1/120 (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4)))) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))) -1/120 (* -1/24 (pow x 4)) -1/24 (* eps eps) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6))) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)) (* 1/2 x) 1/2 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x)))) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))) -1/6 (* -1/2 (* x x)) -1/2 (* x x) (/ (+ 1 x) (exp x)) (+ 1 x) (exp x) (/ (+ (* -1 x) -1) (exp x)) (+ (* -1 x) -1))
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simplify196.0ms (2.1%)

Memory

-5.7MiB live, 226.6MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	873	4912
1	3127	4648
0	8530	4341

Stop Event

1×	iter limit
1×	node limit

Counts

238 → 236

Calls

Call 1

Inputs
1
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2
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(+ 1 (/ 1 eps))
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(+ 1 (* x (- eps 1)))
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(* x (- eps 1))
(* x (- 1 eps))
x
(- (/ 1 eps) 1)
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(+ 1 (* -1 (* x (+ 1 eps))))
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(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* -1 (* x (+ 1 eps)))
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(+ 1 (* (pow x 2) (- (pow eps 2) 1/2)))
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(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))) (pow eps 2)) 1/2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -2/3 x)))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1/6 (* 1/12 (pow eps 2)))) 2/3))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1/6 (+ (* -1/15 (* (pow eps 2) x)) (* 1/12 (pow eps 2))))) 2/3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/12 (* 1/12 (pow eps 2)))) 1/3))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/12 (+ (* -1/15 (* (pow eps 2) x)) (* 1/12 (pow eps 2))))) 1/3))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* -1/15 x)))
(* (pow x 4) (+ 1/12 (* x (- (* 1/40 x) 1/15))))
(* (pow x 4) (+ 1/12 (* x (- (* x (+ 1/40 (* -1/180 x))) 1/15))))
(* 1/24 (pow x 4))
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(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ 1 eps)
(/ (+ 1 eps) eps)
eps
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(/ (+ (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)
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(pow eps 2)
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(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
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(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
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(* eps (+ x (/ x eps)))
(* eps (+ 1 (/ 1 eps)))
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(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (/ 1 (* (pow eps 4) (exp x))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
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(* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 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))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) x #s(literal 1 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))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x))) x (.f64 (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 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))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) x (fma.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) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64))
(+ 1 (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 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)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/6 binary64))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (* x (- eps 1)))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64))
(* x (- eps 1))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(* x (- 1 eps))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
x
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 (neg.f64 (fma.f64 x eps x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 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)
(fma.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x #s(literal 1 binary64))
(* -1 (* x (+ 1 eps)))
(neg.f64 (fma.f64 x eps x))
(* x (+ 1 eps))
(fma.f64 x eps x)
(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(fma.f64 (-.f64 (.f64 eps eps) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64))
(+ 1 (* (pow x 2) (- (pow eps 2) 1/2)))
(fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))) (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -2/3 x)))
(.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1/6 (* 1/12 (pow eps 2)))) 2/3))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1/6 (+ (* -1/15 (* (pow eps 2) x)) (* 1/12 (pow eps 2))))) 2/3))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/15 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/12 (* 1/12 (pow eps 2)))) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/12 (+ (* -1/15 (* (pow eps 2) x)) (* 1/12 (pow eps 2))))) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/15 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/12 binary64))) x) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (* -1/15 x)))
(*.f64 (fma.f64 #s(literal -1/15 binary64) x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/12 (* x (- (* 1/40 x) 1/15))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40 binary64) x) #s(literal 1/15 binary64)) x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/12 (* x (- (* x (+ 1/40 (* -1/180 x))) 1/15))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) x #s(literal 1/40 binary64)) x) #s(literal 1/15 binary64)) x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1/30 x)))
(*.f64 (fma.f64 #s(literal -1/30 binary64) x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* x (- (* 1/80 x) 1/30))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/80 binary64) x) #s(literal 1/30 binary64)) x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* x (- (* x (+ 1/80 (* -1/360 x))) 1/30))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/360 binary64) x #s(literal 1/80 binary64)) x) #s(literal 1/30 binary64)) x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* (pow x 4) (+ 1/24 (* 1/120 x)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1/24 (pow x 4))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/30 x) 1/24))
(.f64 (-.f64 (.f64 #s(literal 1/30 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* x (+ 1/30 (* -1/80 x))) 1/24))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/80 binary64) x #s(literal 1/30 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* x (+ 1/30 (* x (- (* 1/360 x) 1/80)))) 1/24))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/80 binary64)) x #s(literal 1/30 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1/120 x) 1/24))
(.f64 (-.f64 (.f64 #s(literal -1/120 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/2 (* x (- (* 1/12 x) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/12 (* -1/144 (pow x 2)))) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (- (* x (+ 1/3 (* -1/12 x))) 1/2))
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(+.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 2 binary64) x) (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+ (/ 1 (exp x)) (/ x (exp x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
(+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (+ (/ 1 (exp x)) (/ x (exp x))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (+ (/ 1 (exp x)) (/ x (exp x))))
(fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))
(.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 x)))
(+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 x))))
(pow eps 2)
(*.f64 eps eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 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)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(* eps x)
(*.f64 x eps)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(* eps (- (* -1 (/ x eps)) x))
(*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)
(* eps (+ x (/ x eps)))
(*.f64 (+.f64 (/.f64 x eps) x) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 #s(literal 1 binary64) eps)
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))
(fma.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) x) #s(literal 1 binary64))
(* -1 (* eps (+ 1 (/ 1 eps))))
(fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))
(* (pow eps 4) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 eps eps)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 eps eps)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (.f64 (exp.f64 x) (pow.f64 eps #s(literal 4 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 eps eps)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 eps eps)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (neg.f64 x) (.f64 (exp.f64 x) (pow.f64 eps #s(literal 4 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (/ 1 (* (pow eps 4) (exp x))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (exp.f64 x) (pow.f64 eps #s(literal 4 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 eps eps)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 eps eps)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps))
(* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 eps eps)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (.f64 eps eps)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (.f64 eps eps))
(* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) eps) (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 eps eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 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)))))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(- (+ (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)))))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 (neg.f64 eps) (-.f64 x (/.f64 x eps)))
(* -1 (* eps (- 1 (/ 1 eps))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) x))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 (neg.f64 eps) (neg.f64 (+.f64 (/.f64 x eps) x)))
(* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))
(*.f64 (neg.f64 eps) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) eps)))

rewrite392.0ms (4.1%)

Memory

2.9MiB live, 248.5MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1084
0	158	1056
1	587	1019
2	5006	1019
0	8125	995

Stop Event

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

Counts

76 → 1 072

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

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

eval485.0ms (5.1%)

Memory: 2.8MiB live, 330.1MiB allocated; 50ms collecting garbage
Compiler: Compiled 176 782 to 12 099 computations (93.2% saved)

prune77.0ms (0.8%)

Memory

17.4MiB live, 111.5MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 942	12	1 954
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	1 949	13	1 962

Accuracy

100.0%

Counts

1 962 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.6%	(/.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 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
	61.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	22.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	22.7%	(/.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)) #s(approx (exp (neg ( (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	34.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	44.7%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	58.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	55.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	59.6%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	53.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	72.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	55.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
✓	42.3%	#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 2 139 to 1 293 computations (39.6% saved)

simplify1.0ms (0%)

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

series32.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

54 → 176

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
(pow x 2)
x
(- (pow eps 2) 1)
(- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 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)))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* 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)
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* -1 (* x (+ 1 eps)))
(* x (+ 1 eps))
(* x (- eps 1))
(* x (- 1 eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (pow eps 4) (* (pow x 5) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (+ (/ (* (pow eps 2) (- (* 1/2 (exp (neg x))) (* -1/2 (exp (neg x))))) (pow x 3)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))
(* (pow x 3) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (+ (/ 2 (pow x 3)) (/ (pow eps 2) x)))) (/ 1 x)))
(* x (+ 2/3 (* -2/3 (pow eps 2))))
(* x (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(exp (- (* eps x) x))
(* x (- (+ eps (/ 1 x)) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg (+ x (* eps x))))
(* x (+ (* -1 (+ 1 eps)) (/ 1 x)))
(* x (- (/ 1 x) (+ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* (pow eps 4) (* (pow x 5) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (- (* -1/6 (exp (* -1 x))) (* 1/6 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (- (* 1/2 (exp (* -1 x))) (* -1/2 (exp (* -1 x))))) x)) (* (pow eps 2) (- (* -1/6 (exp (* -1 x))) (* 1/6 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1) x)))))
(* -1 (* x (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(exp (neg (* x (- 1 eps))))
(* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (neg (* x (+ 1 eps))))
(* -1 (* x (- (+ 1 eps) (/ 1 x))))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (+ (* -1 eps) (/ 1 x)))))
(* -1 (* x (- (* -1 eps) 1)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (* 2 (/ 1 (exp x))) (/ x (exp x))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(+ 2 (* -1 (pow x 2)))
(+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))
-1
(pow eps 2)
eps
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1))))
(- (* 2/3 x) 1)
(- (+ (* 2/3 x) (* (pow eps 2) (+ 1 (* -2/3 x)))) 1)
2/3
(+ 2/3 (* -2/3 (pow eps 2)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ 1 eps)
(/ (+ 1 eps) eps)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (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))))))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* eps x)))
(- eps 1)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ (+ 1 (* -1 eps)) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (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)))))))))
(+ 1 (+ (* -1 x) (* -1 (* eps x))))
(- (* -1 eps) 1)
(* -1 x)
(- (* -1 (* eps x)) x)
(+ x (* eps x))
(+ 1 eps)
(- (* eps x) x)
(+ x (* -1 (* eps x)))
(+ 1 (* -1 eps))
(- 1 x)
(- (+ 1 (* -1 (* eps x))) x)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* (pow eps 4) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))
(* eps (- 1 (/ 1 eps)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (* eps x))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))
(* -1 eps)
(* -1 (* eps (+ 1 (/ 1 eps))))
(* eps (- (* -1 (/ x eps)) x))
(* eps (+ x (/ x eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) (+ x (/ x eps))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- (* -1 (/ (- 1 x) eps)) (* -1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (- (* eps eps) 1) (* eps eps) eps 1 (* x x) 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 2/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 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 eps) 1) (* (- (/ 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) (/ (- (* (+ 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 (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (- 1 (+ (* x eps) x)) (+ (* x eps) x))
5.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (- (* eps eps) 1) (* eps eps) eps 1 (* x x) 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 2/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 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 eps) 1) (* (- (/ 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) (/ (- (* (+ 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 (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (- 1 (+ (* x eps) x)) (+ (* x eps) x))
5.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (- (* eps eps) 1) (* eps eps) eps 1 (* x x) 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 2/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 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 eps) 1) (* (- (/ 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) (/ (- (* (+ 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 (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (- 1 (+ (* x eps) x)) (+ (* x eps) x))
5.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (- (* eps eps) 1) (* eps eps) eps 1 (* x x) 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 2/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 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 eps) 1) (* (- (/ 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) (/ (- (* (+ 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 (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (- 1 (+ (* x eps) x)) (+ (* x eps) x))
4.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (- (* eps eps) 1) (* eps eps) eps 1 (* x x) 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 2/3 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ (* (- eps 1) x) 1) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 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 eps) 1) (* (- (/ 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) (/ (- (* (+ 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 (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (- 1 (+ (* x eps) x)) (+ (* x eps) x))

simplify227.0ms (2.4%)

Memory

-29.3MiB live, 115.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	655	3547
1	2350	3284
0	9142	3092

Stop Event

1×	iter limit
1×	node limit

Counts

176 → 174

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
(pow x 2)
x
(- (pow eps 2) 1)
(- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
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(+ 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)))
(+ 1 (* x (- eps 1)))
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(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* 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)
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* -1 (* x (+ 1 eps)))
(* x (+ 1 eps))
(* x (- eps 1))
(* x (- 1 eps))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (pow eps 4) (* (pow x 5) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (+ (/ (* (pow eps 2) (- (* 1/2 (exp (neg x))) (* -1/2 (exp (neg x))))) (pow x 3)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))
(* (pow x 3) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (+ (/ 2 (pow x 3)) (/ (pow eps 2) x)))) (/ 1 x)))
(* x (+ 2/3 (* -2/3 (pow eps 2))))
(* x (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(exp (- (* eps x) x))
(* x (- (+ eps (/ 1 x)) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg (+ x (* eps x))))
(* x (+ (* -1 (+ 1 eps)) (/ 1 x)))
(* x (- (/ 1 x) (+ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* (pow eps 4) (* (pow x 5) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
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(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1) x)))))
(* -1 (* x (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
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(* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 (* -1 eps))))
(* -1 (* x (- 1 (+ (* -1 eps) (/ 1 x)))))
(* -1 (* x (- (* -1 eps) 1)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (* 2 (/ 1 (exp x))) (/ x (exp x))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(+ 2 (* -1 (pow x 2)))
(+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))
-1
(pow eps 2)
eps
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1))))
(- (* 2/3 x) 1)
(- (+ (* 2/3 x) (* (pow eps 2) (+ 1 (* -2/3 x)))) 1)
2/3
(+ 2/3 (* -2/3 (pow eps 2)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ 1 eps)
(/ (+ 1 eps) eps)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (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))))))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* eps x)))
(- eps 1)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (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)
(/ (+ (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)
(/ (+ 1 (* -1 eps)) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (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)))))))))
(+ 1 (+ (* -1 x) (* -1 (* eps x))))
(- (* -1 eps) 1)
(* -1 x)
(- (* -1 (* eps x)) x)
(+ x (* eps x))
(+ 1 eps)
(- (* eps x) x)
(+ x (* -1 (* eps x)))
(+ 1 (* -1 eps))
(- 1 x)
(- (+ 1 (* -1 (* eps x))) x)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* (pow eps 4) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))
(* eps (- 1 (/ 1 eps)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (* eps x))
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))
(* -1 eps)
(* -1 (* eps (+ 1 (/ 1 eps))))
(* eps (- (* -1 (/ x eps)) x))
(* eps (+ x (/ x eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) (+ x (/ x eps))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))
(* -1 (* eps (- (/ x eps) (* -1 x))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- (* -1 (/ (- 1 x) eps)) (* -1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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) eps))) #s(literal 1 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))))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.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) eps)))) #s(literal 1 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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2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.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) eps))) x #s(literal 2 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))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.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) eps)))) x #s(literal 2 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))))))
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(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(fma.f64 (-.f64 (.f64 eps eps) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
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(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
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(pow x 2)
(*.f64 x x)
x
(- (pow eps 2) 1)
(-.f64 (*.f64 eps eps) #s(literal 1 binary64))
(- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)
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(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (neg.f64 x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 x))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (pow x 2))
(.f64 (.f64 (*.f64 eps eps) x) x)
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 2 binary64)) (.f64 eps eps)) (.f64 x x)) (.f64 eps eps))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64) (*.f64 x x)) eps) eps)
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) eps) eps)
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(.f64 (+.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 eps eps))) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal 2/3 binary64)) eps) eps)
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(* eps x)
(*.f64 x eps)
(* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))
(fma.f64 (-.f64 x (/.f64 x eps)) eps #s(literal 1 binary64))
(* eps (- 1 (/ 1 eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) x) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (+ 1 (/ 1 eps))))
(-.f64 #s(literal -1 binary64) eps)
(* eps (- (* -1 (/ x eps)) x))
(*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)
(* eps (+ x (/ x eps)))
(*.f64 (+.f64 (/.f64 x eps) x) eps)
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* eps (+ (* -1 x) (/ x eps)))
(*.f64 (-.f64 (/.f64 x eps) x) eps)
(* eps (- (/ 1 eps) 1))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps)
(* eps (- (/ 1 eps) (+ x (/ x eps))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) x) eps)
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 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)))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(- (+ (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)))))))
(-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (-.f64 (/.f64 (fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))
(*.f64 (neg.f64 eps) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) x)))
(* -1 (* eps (- (/ 1 eps) 1)))
(*.f64 (neg.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(* -1 (* eps (+ x (* -1 (/ (+ 1 (* -1 x)) eps)))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) eps)
(* -1 (* eps (- (/ x eps) (* -1 x))))
(*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) x))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(*.f64 (neg.f64 eps) (-.f64 x (/.f64 x eps)))
(* -1 (* eps (- 1 (/ 1 eps))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* -1 (* eps (- (* -1 (/ (- 1 x) eps)) (* -1 x))))
(*.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) eps))) eps)

rewrite313.0ms (3.3%)

Memory

16.8MiB live, 170.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1269
0	167	1240
1	721	1163
2	6473	1163
0	8267	1117

Stop Event

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

Counts

54 → 639

Calls

Call 1

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

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

eval287.0ms (3%)

Memory: -0.9MiB live, 224.8MiB allocated; 37ms collecting garbage
Compiler: Compiled 84 927 to 5 105 computations (94% saved)

prune77.0ms (0.8%)

Memory

-18.9MiB live, 225.6MiB allocated; 17ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	989	20	1 009
Fresh	2	5	7
Picked	5	0	5
Done	0	1	1
Total	996	26	1 022

Accuracy

100.0%

Counts

1 022 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	22.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 #s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	19.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(approx (+ (* (- eps 1) x) 1) (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	34.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
	30.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 #s(approx (neg ( (+ 1 eps) x)) (neg.f64 x))))) #s(literal 2 binary64))
	33.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	44.7%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	58.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	55.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	59.6%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	72.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	45.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	71.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	54.7%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	74.6%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
	74.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	38.2%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (expm1.f64 (.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	51.9%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	59.4%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) eps) eps)) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	41.4%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))) #s(literal 2 binary64))
	55.2%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (-.f64 (fma.f64 eps eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) x)))) #s(literal 2 binary64))
	45.1%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))
▶	39.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))))) #s(literal 2 binary64))
	55.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
✓	42.3%	#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 5 431 to 3 203 computations (41% saved)

simplify1.0ms (0%)

Memory: 2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

series54.0ms (0.6%)

Memory

29.3MiB live, 124.9MiB allocated; 10ms collecting garbage

Counts

60 → 206

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x)
(fma.f64 eps eps #s(literal -1 binary64))
eps
#s(literal -1 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))))
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#s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(neg.f64 x)
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#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64)))
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(.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x)
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(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2/3 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2/3 binary64)
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps)))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))))
#s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps)))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))
(fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps)))
(*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 eps eps))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x x)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
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#s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1/8 binary64))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1/12 binary64)
#s(literal 1/6 binary64)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(exp.f64 x)

Outputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
(* x (- (pow eps 2) 1))
x
(+ 2 (* -1 (pow x 2)))
(* -1 x)
(* x (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1))
(- (pow eps 2) 1)
(- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)
(+ 2 (* (pow eps 2) (* (pow x 2) (- 1 (/ 1 (pow eps 2))))))
(+ 2 (* (pow x 2) (+ (* (pow eps 2) (* x (- (* 2/3 (/ 1 (pow eps 2))) 2/3))) (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))))))
(/ 2 (pow eps 2))
(+ (* (pow x 2) (- 1 (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(+ (* (pow x 2) (- (+ 1 (* x (- (* 2/3 (/ 1 (pow eps 2))) 2/3))) (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(* x (+ 1 (* -2/3 x)))
(+ 1 (* -2/3 x))
(+ (* -1 (/ (pow x 2) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))
(+ (* (pow x 2) (- (* 2/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
-1
(- (* 2/3 x) 1)
(* 2/3 x)
(pow x 2)
(+ 1 (* (pow x 2) (- (pow eps 2) 1/2)))
(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1/2)))
(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))) (pow eps 2)) 1/2)))
(- (pow eps 2) 1/2)
(- (+ (* x (+ 1/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1/2)
(- (+ (* x (+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))) (pow eps 2)) 1/2)
(+ 1/3 (* -2/3 (pow eps 2)))
(+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)
(- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)
(- (* -1 x) 1)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (pow eps 4) (* (pow x 5) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (+ (/ (* (pow eps 2) (- (* 1/2 (exp (neg x))) (* -1/2 (exp (neg x))))) (pow x 3)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 3) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (+ (/ 2 (pow x 3)) (/ (pow eps 2) x)))) (/ 1 x)))
(* (pow x 2) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 2) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* x (+ 2/3 (* -2/3 (pow eps 2))))
(* x (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow eps 2) (* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)))
(* (pow x 3) (+ (* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)) (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)) (+ (/ 2 (pow x 3)) (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x))))
(* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (/ 1 x)) (+ 2/3 (/ 1 (* (pow eps 2) x)))))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (+ (/ 1 x) (/ 2 (* (pow eps 2) (pow x 3))))) (+ 2/3 (/ 1 (* (pow eps 2) x)))))
(* -2/3 (pow x 2))
(* (pow x 2) (- (/ 1 x) 2/3))
(* -2/3 x)
(* x (- (/ 1 x) 2/3))
(* 2/3 (/ (pow x 3) (pow eps 2)))
(* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) (/ 1 (* (pow eps 2) x))))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (* (pow eps 2) (pow x 3)))) (/ 1 (* (pow eps 2) x))))
(* 2/3 (pow x 3))
(* (pow x 3) (- 2/3 (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(* x (- 2/3 (/ 1 x)))
(* (pow x 4) (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (/ (pow eps 2) (pow x 2))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (+ (/ 1 (pow x 4)) (/ (pow eps 2) (pow x 2)))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* (pow x 2) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* (pow x 2) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (/ (pow eps 2) (pow x 2))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* x (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* -1 (/ x (exp x)))
(* -1 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))
(* -1 (* x (+ 1 (/ 1 x))))
(exp x)
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* (pow eps 4) (* (pow x 5) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
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(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1) x)))))
(* -1 (* x (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* -1 (* (pow eps 2) (* (pow x 3) (- 2/3 (* 2/3 (/ 1 (pow eps 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x)) (* (pow eps 2) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow x 2)))) x)) (* (pow eps 2) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))))
(* -1 (* (pow x 3) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (+ 2/3 (* -1 (/ (- 1 (/ 1 (pow eps 2))) x))) (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (+ 2/3 (* -1 (/ (- (+ 1 (* 2 (/ 1 (* (pow eps 2) (pow x 2))))) (/ 1 (pow eps 2))) x))) (* 2/3 (/ 1 (pow eps 2))))))
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(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
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(+ (* 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))))))))
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(- (+ (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))))))
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(- (+ (* 2 (/ 1 (exp x))) (/ x (exp x))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))
(+ (* -1 x) (* (pow eps 2) x))
eps
(+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1))))
(* x (- (* 2/3 x) 1))
(+ (* x (- (* 2/3 x) 1)) (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))
(- (+ (* 2/3 x) (* (pow eps 2) (+ 1 (* -2/3 x)))) 1)
2/3
(+ 2/3 (* -2/3 (pow eps 2)))
(pow eps 2)
(/ (+ 2 (* (pow x 2) (- (* 2/3 x) 1))) (pow eps 2))
(/ (+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1)))) (pow eps 2))
(+ (/ 1 (exp x)) (/ x (exp x)))
(+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (+ (/ 1 (exp x)) (/ x (exp x))))
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(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3))))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))
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(- (* x (+ 1/3 (* -1/8 x))) 1/2)
(- (+ (* x (+ 1/3 (* -1/8 x))) (* (pow eps 2) (+ 1 (* x (- (* 1/6 x) 2/3))))) 1/2)
(- (+ (* x (+ 1/3 (* -1/8 x))) (* (pow eps 2) (+ 1 (+ (* 1/12 (* (pow eps 2) (pow x 2))) (* x (- (* 1/6 x) 2/3)))))) 1/2)
(+ 1/3 (* -1/8 x))
(+ 1/3 (+ (* -1/8 x) (* (pow eps 2) (- (* 1/6 x) 2/3))))
(+ 1/3 (+ (* -1/8 x) (* (pow eps 2) (- (+ (* 1/12 (* (pow eps 2) x)) (* 1/6 x)) 2/3))))
-1/8
(- (* 1/6 (pow eps 2)) 1/8)
(- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8)
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2))))
1/6
(+ 1/6 (* 1/12 (pow eps 2)))
1/3
-1/2
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(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
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(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (* x (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* x (+ 1 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1)) (pow eps 2))))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(* (pow x 2) (+ 1 (* -2/3 x)))
(+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))))
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(* 1/12 (* (pow eps 4) (pow x 2)))
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(* 1/12 (* (pow eps 4) x))
(* (pow eps 4) (- (+ (* 1/12 x) (* 1/6 (/ x (pow eps 2)))) (* 2/3 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ (* -1/8 (/ x (pow eps 4))) (+ (* 1/12 x) (+ (* 1/6 (/ x (pow eps 2))) (/ 1/3 (pow eps 4))))) (* 2/3 (/ 1 (pow eps 2)))))
(* 1/12 (pow eps 4))
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(* (pow eps 4) (- (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))) (/ 1/8 (pow eps 4))))
(* 1/12 (pow eps 2))
(* (pow eps 2) (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (* 1/3 (/ 1 (pow eps 2))) 2/3))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (* (+ (* eps eps) -1) x) x) 2) (* (+ (* eps eps) -1) x) (+ (* eps eps) -1) eps -1 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (* eps eps) 1) (* x x)) 2) (+ (* (neg x) x) 2) (neg x) (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (+ (* eps eps) -1)) x) x) 2) (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (+ (* eps eps) -1)) x) (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (+ (* eps eps) -1)) (+ (* -2/3 (* eps eps)) 2/3) -2/3 (* eps eps) 2/3 (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (* (+ (* (* (+ (* -2/3 x) 1) x) x) (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps))) (* eps eps)) (+ (* (* (+ (* -2/3 x) 1) x) x) (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps))) (* (+ (* -2/3 x) 1) x) (+ (* -2/3 x) 1) 1 (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps)) (+ (* (- (* 2/3 x) 1) (* x x)) 2) (- (* 2/3 x) 1) (* 2/3 x) (* x x) (/ (- (* (+ 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))))) (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (+ (* (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (* x x)) 1) (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) (+ (* 1/12 (* eps eps)) 1/6) 1/12 1/6 1/8 (+ (* -2/3 (* eps eps)) 1/3) 1/3 (- (* eps eps) 1/2) 1/2 (/ (+ (* -1 x) -1) (exp x)) (+ (* -1 x) -1) (exp x))
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simplify197.0ms (2.1%)

Memory

3.3MiB live, 239.9MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	4642
1	2567	4393
0	8596	4100

Stop Event

1×	iter limit
1×	node limit

Counts

206 → 204

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 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))))))))
(+ 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))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 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))))))
(+ 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))))))
(+ 2 (* (pow x 2) (- (pow eps 2) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)))
(+ 2 (* (pow x 2) (- (+ (* x (+ 2/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/4))))) (pow eps 2)) 1)))
(* x (- (pow eps 2) 1))
x
(+ 2 (* -1 (pow x 2)))
(* -1 x)
(* x (- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1))
(- (pow eps 2) 1)
(- (+ (* x (+ 2/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1)
(+ 2 (* (pow eps 2) (* (pow x 2) (- 1 (/ 1 (pow eps 2))))))
(+ 2 (* (pow x 2) (+ (* (pow eps 2) (* x (- (* 2/3 (/ 1 (pow eps 2))) 2/3))) (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))))))
(/ 2 (pow eps 2))
(+ (* (pow x 2) (- 1 (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(+ (* (pow x 2) (- (+ 1 (* x (- (* 2/3 (/ 1 (pow eps 2))) 2/3))) (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(* x (+ 1 (* -2/3 x)))
(+ 1 (* -2/3 x))
(+ (* -1 (/ (pow x 2) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))
(+ (* (pow x 2) (- (* 2/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow eps 2))))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
-1
(- (* 2/3 x) 1)
(* 2/3 x)
(pow x 2)
(+ 1 (* (pow x 2) (- (pow eps 2) 1/2)))
(+ 1 (* (pow x 2) (- (+ (* x (+ 1/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1/2)))
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(- (pow eps 2) 1/2)
(- (+ (* x (+ 1/3 (* -2/3 (pow eps 2)))) (pow eps 2)) 1/2)
(- (+ (* x (+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))) (pow eps 2)) 1/2)
(+ 1/3 (* -2/3 (pow eps 2)))
(+ 1/3 (+ (* -2/3 (pow eps 2)) (* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))))
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1)
(- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1)
(- (* -1 x) 1)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (pow eps 4) (* (pow x 5) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x))))
(* (pow x 5) (+ (* (pow eps 4) (- (* 1/120 (exp (neg x))) (* -1/120 (exp (neg x))))) (+ (/ (* (pow eps 2) (- (* 1/6 (exp (neg x))) (* -1/6 (exp (neg x))))) (pow x 2)) (+ (/ (* (pow eps 2) (- (* 1/2 (exp (neg x))) (* -1/2 (exp (neg x))))) (pow x 3)) (/ (* (pow eps 4) (- (* 1/24 (exp (neg x))) (* -1/24 (exp (neg x))))) x)))))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1))
(* (pow x 3) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (+ (/ 2 (pow x 3)) (/ (pow eps 2) x)))) (/ 1 x)))
(* (pow x 2) (+ 2/3 (* -2/3 (pow eps 2))))
(* (pow x 2) (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* x (+ 2/3 (* -2/3 (pow eps 2))))
(* x (- (+ 2/3 (+ (* -2/3 (pow eps 2)) (/ (pow eps 2) x))) (/ 1 x)))
(* (pow eps 2) (* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)))
(* (pow x 3) (+ (* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)) (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3)) (+ (/ 2 (pow x 3)) (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x))))
(* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (/ 1 x)) (+ 2/3 (/ 1 (* (pow eps 2) x)))))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (+ (/ 1 x) (/ 2 (* (pow eps 2) (pow x 3))))) (+ 2/3 (/ 1 (* (pow eps 2) x)))))
(* -2/3 (pow x 2))
(* (pow x 2) (- (/ 1 x) 2/3))
(* -2/3 x)
(* x (- (/ 1 x) 2/3))
(* 2/3 (/ (pow x 3) (pow eps 2)))
(* (pow x 3) (- (* 2/3 (/ 1 (pow eps 2))) (/ 1 (* (pow eps 2) x))))
(* (pow x 3) (- (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (* (pow eps 2) (pow x 3)))) (/ 1 (* (pow eps 2) x))))
(* 2/3 (pow x 3))
(* (pow x 3) (- 2/3 (/ 1 x)))
(* (pow x 3) (- (+ 2/3 (/ 2 (pow x 3))) (/ 1 x)))
(* x (- 2/3 (/ 1 x)))
(* (pow x 4) (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (/ (pow eps 2) (pow x 2))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (+ (/ 1 (pow x 4)) (/ (pow eps 2) (pow x 2)))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* (pow x 2) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* (pow x 2) (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (+ (* 1/3 (/ 1 x)) (/ (pow eps 2) (pow x 2))))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* x (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8))
(* x (- (+ (* -2/3 (/ (pow eps 2) x)) (+ (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) (* 1/3 (/ 1 x)))) 1/8))
(* -1 (/ x (exp x)))
(* -1 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))
(* -1 (* x (+ 1 (/ 1 x))))
(exp x)
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* (pow eps 4) (* (pow x 5) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (- (* -1/6 (exp (* -1 x))) (* 1/6 (exp (* -1 x))))) x)) (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow eps 2) (- (* 1/2 (exp (* -1 x))) (* -1/2 (exp (* -1 x))))) x)) (* (pow eps 2) (- (* -1/6 (exp (* -1 x))) (* 1/6 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* 1/24 (exp (* -1 x))) (* -1/24 (exp (* -1 x)))))) x)) (* (pow eps 4) (- (* -1/120 (exp (* -1 x))) (* 1/120 (exp (* -1 x))))))))
(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1) x)))))
(* -1 (* x (+ (* -1 (+ 2/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1) x)))))
(* -1 (* (pow eps 2) (* (pow x 3) (- 2/3 (* 2/3 (/ 1 (pow eps 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) x)) (* (pow eps 2) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) (* 2 (/ 1 (pow x 2)))) x)) (* (pow eps 2) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))))
(* -1 (* (pow x 3) (- 2/3 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (+ 2/3 (* -1 (/ (- 1 (/ 1 (pow eps 2))) x))) (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (+ 2/3 (* -1 (/ (- (+ 1 (* 2 (/ 1 (* (pow eps 2) (pow x 2))))) (/ 1 (pow eps 2))) x))) (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* x (- 2/3 (/ 1 x))))
(* -1 (* (pow x 3) (- (/ 1 (* (pow eps 2) x)) (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (* (pow eps 2) (pow x 2)))) (/ 1 (pow eps 2))) x)) (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (- (/ 1 x) 2/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3)))
(* -1 (* x (- (/ 1 x) 2/3)))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (+ 1/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1/2) x))) x)) (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2))))) 1/8))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (+ 1/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (+ (/ 1 (pow x 2)) (pow eps 2)) 1/2) x))) x)) (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2))))) 1/8))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (+ 1/3 (* -2/3 (pow eps 2)))) (* -1 (/ (- (pow eps 2) 1/2) x))) x)) (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2))))) 1/8))
(* -1 (* x (+ (* -1 (- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8)) (* -1 (/ (+ 1/3 (* -2/3 (pow eps 2))) x)))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 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))))))))
(+ (* 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))))))))))
(+ (* 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))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (* 2 (/ 1 (exp x))) (/ x (exp x))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(- (+ (* 2 (/ 1 (exp x))) (+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (/ x (exp x)))) (* -1 (/ x (exp x))))
(+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))
(+ (* -1 x) (* (pow eps 2) x))
eps
(+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1))))
(* x (- (* 2/3 x) 1))
(+ (* x (- (* 2/3 x) 1)) (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))
(- (+ (* 2/3 x) (* (pow eps 2) (+ 1 (* -2/3 x)))) 1)
2/3
(+ 2/3 (* -2/3 (pow eps 2)))
(pow eps 2)
(/ (+ 2 (* (pow x 2) (- (* 2/3 x) 1))) (pow eps 2))
(/ (+ 2 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))) (* (pow x 2) (- (* 2/3 x) 1)))) (pow eps 2))
(+ (/ 1 (exp x)) (/ x (exp x)))
(+ (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (+ (/ 1 (exp x)) (/ x (exp x))))
(+ (* (pow eps 2) (- (+ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (* (pow eps 2) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))) (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))))) (+ (/ 1 (exp x)) (/ x (exp x))))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3))))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))
(+ 1 (+ (* (pow eps 2) (+ (* 1/12 (* (pow eps 2) (pow x 4))) (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3)))))) (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))
(- (* x (+ 1/3 (* -1/8 x))) 1/2)
(- (+ (* x (+ 1/3 (* -1/8 x))) (* (pow eps 2) (+ 1 (* x (- (* 1/6 x) 2/3))))) 1/2)
(- (+ (* x (+ 1/3 (* -1/8 x))) (* (pow eps 2) (+ 1 (+ (* 1/12 (* (pow eps 2) (pow x 2))) (* x (- (* 1/6 x) 2/3)))))) 1/2)
(+ 1/3 (* -1/8 x))
(+ 1/3 (+ (* -1/8 x) (* (pow eps 2) (- (* 1/6 x) 2/3))))
(+ 1/3 (+ (* -1/8 x) (* (pow eps 2) (- (+ (* 1/12 (* (pow eps 2) x)) (* 1/6 x)) 2/3))))
-1/8
(- (* 1/6 (pow eps 2)) 1/8)
(- (* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2)))) 1/8)
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* 1/12 (pow eps 2))))
1/6
(+ 1/6 (* 1/12 (pow eps 2)))
1/3
-1/2
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 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)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* (pow eps 4) (- (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5))))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (* x (+ 1 (* -2/3 x))))
(* (pow eps 2) (+ (* x (+ 1 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1)) (pow eps 2))))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(* (pow x 2) (+ 1 (* -2/3 x)))
(+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (/ 1 (* (pow eps 4) (exp x))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(* 1/12 (* (pow eps 4) (pow x 4)))
(* (pow eps 4) (+ (* 1/12 (pow x 4)) (/ (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3)))) (pow eps 2))))
(* (pow eps 4) (+ (* 1/12 (pow x 4)) (+ (/ 1 (pow eps 4)) (+ (/ (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3)))) (pow eps 2)) (/ (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow eps 4))))))
(* 1/12 (* (pow eps 4) (pow x 2)))
(* (pow eps 4) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/6 x) 2/3)) (pow eps 2)))))
(* (pow eps 4) (- (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1/3 (* -1/8 x))) (pow eps 4)) (/ (* x (- (* 1/6 x) 2/3)) (pow eps 2))))) (/ 1/2 (pow eps 4))))
(* 1/12 (* (pow eps 4) x))
(* (pow eps 4) (- (+ (* 1/12 x) (* 1/6 (/ x (pow eps 2)))) (* 2/3 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ (* -1/8 (/ x (pow eps 4))) (+ (* 1/12 x) (+ (* 1/6 (/ x (pow eps 2))) (/ 1/3 (pow eps 4))))) (* 2/3 (/ 1 (pow eps 2)))))
(* 1/12 (pow eps 4))
(* (pow eps 4) (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))) (/ 1/8 (pow eps 4))))
(* 1/12 (pow eps 2))
(* (pow eps 2) (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (* 1/3 (/ 1 (pow eps 2))) 2/3))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (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)))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
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(.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (* 2 (/ 1 (* (pow eps 4) (exp x)))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* -1 (/ x (* (pow eps 4) (exp x)))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (neg.f64 x) (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 x))))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 2) (pow x 2))
(.f64 (.f64 x eps) (*.f64 x eps))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))
(.f64 (fma.f64 x x (/.f64 (fma.f64 (neg.f64 x) x #s(literal 2 binary64)) (.f64 eps eps))) (*.f64 eps eps))
(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(.f64 (-.f64 x (/.f64 x (.f64 eps eps))) (*.f64 eps eps))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 eps eps))
(* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))
(.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x)) (.f64 eps eps))
(* (pow eps 2) (+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2)))))
(.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))
(* (pow eps 2) (* x (+ 1 (* -2/3 x))))
(.f64 (.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)))
(* (pow eps 2) (+ (* x (+ 1 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1)) (pow eps 2))))
(.f64 (.f64 x (+.f64 (/.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 eps eps)) (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)))) (*.f64 eps eps))
(* (pow eps 2) (+ 1 (* -2/3 x)))
(.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 eps eps))
(* (pow eps 2) (- (+ 1 (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2))))) (/ 1 (pow eps 2))))
(.f64 (+.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 eps eps))) (.f64 eps eps))
(* -2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/3 binary64))
(* (pow eps 2) (- (* 2/3 (/ 1 (pow eps 2))) 2/3))
(.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (*.f64 eps eps))
(* (pow x 2) (+ 1 (* -2/3 x)))
(.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x))
(+ (* (pow x 2) (+ 1 (* -2/3 x))) (+ (* 2 (/ 1 (pow eps 2))) (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))))
(fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps)))
(* (pow eps 4) (- (+ (* (exp (neg x)) (+ (* 1/120 (pow x 5)) (* 1/24 (pow x 4)))) (+ (/ 1 (* (pow eps 4) (exp x))) (+ (/ x (* (pow eps 4) (exp x))) (/ (* (exp (neg x)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (pow eps 2))))) (+ (* (exp (neg x)) (+ (* -1/24 (pow x 4)) (* -1/120 (pow x 5)))) (/ (* (exp (neg x)) (+ (* -1/2 (pow x 2)) (* -1/6 (pow x 3)))) (pow eps 2)))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))))))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/12 (* (pow eps 4) (pow x 4)))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow eps 4) (+ (* 1/12 (pow x 4)) (/ (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3)))) (pow eps 2))))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) eps) (/.f64 (.f64 x x) eps) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* 1/12 (pow x 4)) (+ (/ 1 (pow eps 4)) (+ (/ (* (pow x 2) (+ 1 (* x (- (* 1/6 x) 2/3)))) (pow eps 2)) (/ (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) (pow eps 4))))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (+.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/12 (* (pow eps 4) (pow x 2)))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow eps 4) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/6 x) 2/3)) (pow eps 2)))))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1/3 (* -1/8 x))) (pow eps 4)) (/ (* x (- (* 1/6 x) 2/3)) (pow eps 2))))) (/ 1/2 (pow eps 4))))
(.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) (fma.f64 x (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) (.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/12 (* (pow eps 4) x))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 1/12 binary64))
(* (pow eps 4) (- (+ (* 1/12 x) (* 1/6 (/ x (pow eps 2)))) (* 2/3 (/ 1 (pow eps 2)))))
(.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 2/3 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ (* -1/8 (/ x (pow eps 4))) (+ (* 1/12 x) (+ (* 1/6 (/ x (pow eps 2))) (/ 1/3 (pow eps 4))))) (* 2/3 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 #s(literal 1/12 binary64) x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/12 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow eps 4) (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))) (/ 1/8 (pow eps 4))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/12 (pow eps 2))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 1/12 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)) (*.f64 eps eps))
(* (pow eps 2) (- (* 1/3 (/ 1 (pow eps 2))) 2/3))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (*.f64 eps eps))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 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)))))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(- (+ (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)))))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))

rewrite262.0ms (2.8%)

Memory

-31.5MiB live, 395.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	2450
0	181	2366
1	864	2239
2	7426	2239
0	8458	2133

Stop Event

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

Counts

60 → 631

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x)
(fma.f64 eps eps #s(literal -1 binary64))
eps
#s(literal -1 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))
#s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(neg.f64 x)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2/3 binary64)) x (fma.f64 eps eps #s(literal -1 binary64)))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 2/3 binary64))
#s(literal -2/3 binary64)
(*.f64 eps eps)
#s(literal 2/3 binary64)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))))) #s(literal 2 binary64))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps)))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))))
#s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps)))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))
(fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x) x (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps)))
(*.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 eps eps))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x x)
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))))
(-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))
#s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1/8 binary64))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1/12 binary64)
#s(literal 1/6 binary64)
#s(literal 1/8 binary64)
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(exp.f64 x)

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) 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))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))))
#s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))))
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(fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 eps eps #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (.f64 x x)) #s(literal 2 binary64))
(fma.f64 x (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x)) x))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 eps eps #s(literal -1 binary64))) (.f64 x x)))
(-.f64 #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 eps eps #s(literal -1 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x) #s(literal 2 binary64))))))
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(*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x eps x) (-.f64 eps #s(literal 1 binary64)))
(.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 eps eps #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 eps eps #s(literal 1 binary64)))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) #s(literal 1/72 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 (*.f64 eps eps) #s(literal 1/72 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) #s(literal 1/72 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) eps) eps #s(literal 1/6 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1/12 binary64)) #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 1/12 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/12 binary64) #s(literal 1/6 binary64))
(fma.f64 eps (*.f64 #s(literal 1/12 binary64) eps) #s(literal 1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/12 binary64) eps)) eps))
(-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) (.f64 eps eps)))
(-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal 1/12 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) #s(literal 1/72 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 eps eps) #s(literal 1/72 binary64))))))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))
#s(literal 1/12 binary64)
#s(literal 1/6 binary64)
#s(literal 1/8 binary64)
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 eps eps) #s(literal -2/9 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 (*.f64 eps eps) #s(literal -2/9 binary64)))))
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 eps eps) #s(literal -2/9 binary64)))))
(fma.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -2/3 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal -2/3 binary64) eps) eps #s(literal 1/3 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal 1/3 binary64))
(fma.f64 eps (*.f64 #s(literal -2/3 binary64) eps) #s(literal 1/3 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal -2/3 binary64) eps)) eps))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal -2/3 binary64)))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2/3 binary64) (.f64 eps eps)))
(+.f64 (/.f64 (.f64 #s(literal -8/27 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 eps eps) #s(literal -2/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 4/9 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 eps eps) #s(literal -2/9 binary64))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)))
#s(literal 1/3 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 eps eps #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 eps eps #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 4 binary64)))))
(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) (.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (exp.f64 x) (exp.f64 x)))
(/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 #s(literal -1 binary64) x) (exp.f64 x))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(neg.f64 (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval268.0ms (2.8%)

Memory: 46.5MiB live, 546.7MiB allocated; 146ms collecting garbage
Compiler: Compiled 182 803 to 7 894 computations (95.7% saved)

prune174.0ms (1.8%)

Memory

-22.2MiB live, 412.6MiB allocated; 82ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 160	14	1 174
Fresh	5	15	20
Picked	4	1	5
Done	0	1	1
Total	1 169	31	1 200

Accuracy

100.0%

Counts

1 200 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	22.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 #s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	19.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(approx (+ (* (- eps 1) x) 1) (-.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	34.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)))) #s(literal 2 binary64))
	30.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 #s(approx (neg ( (+ 1 eps) x)) (neg.f64 x))))) #s(literal 2 binary64))
	33.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	41.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (exp.f64 x))))) #s(literal 2 binary64))
	60.9%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	41.7%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 #s(approx (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	55.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	59.6%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	72.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	45.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	71.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	54.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( -2/3 (* eps eps)) 2/3) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))) x (fma.f64 eps eps #s(literal -1 binary64))) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
	74.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	54.2%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* -2/3 (* eps eps)) 2/3) x) (+ (* eps eps) -1)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2/3 binary64)) x)) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
	61.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 #s(approx (+ ( (+ (* -2/3 (* eps eps)) 2/3) x) (+ (* eps eps) -1)) (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 eps eps))) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
	51.9%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	74.5%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (* (+ (* eps eps) -1) x) (.f64 (.f64 eps eps) x)) x #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	41.4%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))) #s(literal 2 binary64))
	55.2%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (-.f64 (fma.f64 eps eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) x)))) #s(literal 2 binary64))
	45.1%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))
	30.8%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 #s(approx (+ ( (* (+ (* -2/3 x) 1) x) x) (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps))) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 eps eps))))) #s(literal 2 binary64))
	26.7%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 #s(approx (+ ( (* (+ (* -2/3 x) 1) x) x) (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps))) (/.f64 #s(literal 2 binary64) (.f64 eps eps))) (.f64 eps eps))))) #s(literal 2 binary64))
	26.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (* x x)) 2) (.f64 #s(approx (+ ( (* (+ (* -2/3 x) 1) x) x) (/ (+ (* (- (* 2/3 x) 1) (* x x)) 2) (* eps eps))) (.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64)) (.f64 x x))) (*.f64 eps eps))))) #s(literal 2 binary64))
	52.6%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (* (+ (* eps eps) -1) x) x) 2) (.f64 (-.f64 (fma.f64 eps eps (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))))) #s(literal 2 binary64))
	35.9%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (* (+ (* eps eps) -1) x) x) 2) (.f64 (.f64 x eps) (*.f64 x eps))))) #s(literal 2 binary64))
	55.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
✓	42.3%	#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 9 351 to 2 607 computations (72.1% saved)

regimes82.0ms (0.9%)

Memory

-4.8MiB live, 109.6MiB allocated; 39ms collecting garbage

Counts

55 → 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))
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(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 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 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 #s(approx (neg ( (+ 1 eps) x)) (neg.f64 x))))) #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 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(approx (- (/ 1 eps) 1) #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 #s(approx (- (/ 1 eps) 1) #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)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 #s(approx (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #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 (-.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 (+.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(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (exp.f64 x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (expm1.f64 (.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 x 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 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (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)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 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 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))

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

Calls

4 calls:

39.0ms	x
14.0ms	(-.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)))))
13.0ms	eps
10.0ms	(/.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
100.0%	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)))))`
100.0%	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))`
96.1%	4	`x`
100.0%	3	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes39.0ms (0.4%)

Memory

-13.8MiB live, 80.9MiB allocated; 2ms collecting garbage

Counts

51 → 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))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))) #s(literal 2 binary64))
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(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 (.f64 eps eps) #s(literal -2/3 binary64) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 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 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 #s(approx (neg ( (+ 1 eps) x)) (neg.f64 x))))) #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 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(approx (- (/ 1 eps) 1) #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 #s(approx (- (/ 1 eps) 1) #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)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 #s(approx (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #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 (-.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 (+.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(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (exp.f64 x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (expm1.f64 (.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) (.f64 x 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 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 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 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64)))

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

Calls

3 calls:

13.0ms

eps

10.0ms

(-.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)))))

10.0ms

(/.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
91.4%	4	`eps`
93.3%	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)))))`
93.3%	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 57 to 38 computations (33.3% saved)

regimes76.0ms (0.8%)

Memory

34.4MiB live, 84.0MiB allocated; 4ms collecting garbage

Counts

45 → 4

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))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (* (+ (* eps eps) -1) x) x) 2) (.f64 (.f64 x eps) (*.f64 x eps))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))
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(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 #s(approx (+ (* (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) x) (- (* eps eps) 1/2)) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #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 (-.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 (+.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(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 1/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (exp.f64 x))))) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))

Calls

4 calls:

43.0ms	x
11.0ms	eps
9.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
8.0ms	(-.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
78.6%	3	`eps`
86.3%	4	`x`
79.3%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
79.3%	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 58 to 40 computations (31% saved)

regimes27.0ms (0.3%)

Memory

-24.0MiB live, 23.3MiB allocated; 2ms collecting garbage

Counts

41 → 4

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

Outputs
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
85.8%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

29 → 4

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.4%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.3%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0.2%)

Memory

-40.0MiB live, 7.1MiB allocated; 1ms 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))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (* (+ (* eps eps) -1) x) x) 2) (.f64 (.f64 x eps) (*.f64 x eps))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (* (+ (* eps eps) -1) x) (.f64 (.f64 eps eps) x)) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) x) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 #s(approx (+ (* (+ (* -2/3 (* eps eps)) 2/3) x) (- (* eps eps) 1)) (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (-.f64 (.f64 eps eps) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))

Outputs

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
80.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

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

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

Calls

3 calls:

2.0ms

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
78.4%	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)))))`
78.4%	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))`
76.3%	3	`x`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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

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

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

Calls

4 calls:

2.0ms	x
1.0ms	eps
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
71.1%	3	`x`
64.1%	3	`eps`
74.3%	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)))))`
74.3%	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 58 to 40 computations (31% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.7b remaining (-1.9%)

Threshold costs -0.7b (-1.9%)

Counts

2 → 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))

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

Calls

4 calls:

1.0ms	eps
1.0ms	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
42.3%	1	`eps`
42.3%	1	`x`
42.3%	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)))))`
42.3%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.1697133525550116

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1697133525550116	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch167.0ms (1.8%)

Memory

-3.9MiB live, 139.7MiB allocated; 7ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	8829479387.389051	1197088462670.882
64.0ms	9.272966400091885e-157	1.780800585851328e-145
39.0ms	-6.709889103338048e-124	-1.1822937544176004e-132

Samples

68.0ms	288×	0	valid
63.0ms	128×	1	valid

Compiler

Compiled 7 718 to 4 540 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 46.0ms (38.9% of total)

ival-div: 33.0ms (27.9% of total)

ival-exp: 13.0ms (11% of total)

adjust: 8.0ms (6.8% of total)

ival-sub: 7.0ms (5.9% of total)

ival-add: 5.0ms (4.2% of total)

ival-neg: 5.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch66.0ms (0.7%)

Memory

9.3MiB live, 56.2MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.003934536407930187	44.99850628458119
26.0ms	9.272966400091885e-157	1.780800585851328e-145
3.0ms	-6.709889103338048e-124	-1.1822937544176004e-132

Samples

16.0ms	50×	1	valid
8.0ms	78×	0	valid

Compiler

Compiled 7 378 to 4 324 computations (41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 5.0ms (24% of total)

ival-mult: 4.0ms (19.2% of total)

adjust: 3.0ms (14.4% of total)

ival-div: 3.0ms (14.4% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

ival-neg: 2.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Memory

-34.3MiB live, 13.1MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.003934536407930187	44.99850628458119
3.0ms	9.272966400091885e-157	1.780800585851328e-145
40.0ms	-6.709889103338048e-124	-1.1822937544176004e-132

Compiler

Compiled 7 243 to 4 252 computations (41.3% saved)

bsearch69.0ms (0.7%)

Memory

31.0MiB live, 81.4MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.003934536407930187	44.99850628458119
37.0ms	8.464514880190103e-232	2.2795721348080393e-229

Samples

31.0ms	85×	1	valid
15.0ms	139×	0	valid

Compiler

Compiled 4 200 to 2 472 computations (41.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-exp: 11.0ms (28.4% of total)

ival-mult: 7.0ms (18.1% of total)

adjust: 6.0ms (15.5% of total)

ival-div: 5.0ms (12.9% of total)

ival-sub: 4.0ms (10.3% of total)

ival-neg: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory

-42.6MiB live, 4.4MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.003934536407930187	44.99850628458119

Compiler

Compiled 2 144 to 1 256 computations (41.4% saved)

bsearch12.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.003934536407930187	44.99850628458119

Samples

5.0ms	14×	1	valid
2.0ms	18×	0	valid

Compiler

Compiled 2 200 to 1 272 computations (42.2% saved)

Precisions

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

ival-add: 1.0ms (17.5% of total)

ival-sub: 1.0ms (17.5% of total)

ival-div: 1.0ms (17.5% of total)

adjust: 1.0ms (17.5% of total)

ival-exp: 1.0ms (17.5% of total)

ival-mult: 1.0ms (17.5% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1697133525550116	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1697133525550116	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

simplify70.0ms (0.7%)

Memory

13.9MiB live, 61.2MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3306
1	427	3218
2	1294	2958
3	6790	2958

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.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)) #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(if (<=.f64 (/.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)) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (/.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 eps eps)) #s(literal 1/4 binary64)) x (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2/3 binary64))) x (-.f64 (.f64 eps eps) #s(literal 1 binary64))) (.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 7883656546955207/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) (fma.f64 (.f64 (.f64 x x) (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 125000000000 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (fma.f64 (fma.f64 #s(approx (+ (* (- (* (+ (* 1/12 (* eps eps)) 1/6) (* eps eps)) 1/8) x) (+ (* -2/3 (* eps eps)) 1/3)) (fma.f64 (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2/3 binary64)) (.f64 eps eps) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)))) x (-.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 #s(approx (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (+ (* (- (+ (* (- (* (exp (neg x)) (+ (* (pow x 4) 1/24) (* (pow x 5) 1/120))) (* (exp (neg x)) (+ (* -1/120 (pow x 5)) (* -1/24 (pow x 4))))) (* eps eps)) (* (exp (neg x)) (+ (* (* 1/2 x) x) (* (pow x 3) 1/6)))) (* (exp (neg x)) (+ (* (pow x 3) -1/6) (* -1/2 (* x x))))) (* eps eps)) (/ (+ 1 x) (exp x))) (/ (+ (* -1 x) -1) (exp x))) #s(approx (+ (* (- (* eps eps) 1) (* x x)) 2) (.f64 (.f64 (*.f64 eps eps) x) x)))) #s(literal 2 binary64)))))
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Outputs
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derivations1.0s (10.8%)

Memory

9.4MiB live, 958.2MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	873	4912
1	3127	4648
0	8530	4341
0	655	3547
1	2350	3284
0	9142	3092
0	767	4642
1	2567	4393
0	8596	4100
0	116	1269
0	167	1240
1	721	1163
2	6473	1163
0	8267	1117
0	376	2340
1	1363	2097
2	6300	2078
0	8331	1958

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 3 406 to 222 computations (93.5% saved)

preprocess108.0ms (1.1%)

Memory: -11.1MiB live, 170.7MiB allocated; 50ms collecting garbage
Compiler: Compiled 6 870 to 482 computations (93% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze46.0ms (0.5%)

sample3.3s (34.7%)

explain404.0ms (4.2%)

preprocess179.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series25.0ms (0.3%)

simplify172.0ms (1.8%)

rewrite229.0ms (2.4%)

eval171.0ms (1.8%)

prune23.0ms (0.2%)

simplify1.0ms (0%)

series61.0ms (0.6%)

simplify196.0ms (2.1%)

rewrite392.0ms (4.1%)

eval485.0ms (5.1%)

prune77.0ms (0.8%)

simplify1.0ms (0%)

series32.0ms (0.3%)

simplify227.0ms (2.4%)

rewrite313.0ms (3.3%)

eval287.0ms (3%)

prune77.0ms (0.8%)

simplify1.0ms (0%)

series54.0ms (0.6%)

simplify197.0ms (2.1%)

rewrite262.0ms (2.8%)

eval268.0ms (2.8%)

prune174.0ms (1.8%)

regimes82.0ms (0.9%)

regimes39.0ms (0.4%)

regimes76.0ms (0.8%)

regimes27.0ms (0.3%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes22.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch167.0ms (1.8%)

bsearch66.0ms (0.7%)

bsearch46.0ms (0.5%)

bsearch69.0ms (0.7%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (0.7%)

derivations1.0s (10.8%)

preprocess108.0ms (1.1%)

end0.0ms (0%)

Profiling