Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.3%)

Memory

-13.8MiB live, 57.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.4s (19.1%)

Memory

74.7MiB live, 3 746.0MiB allocated

Samples

845.0ms	6 046×	0	valid
764.0ms	2 209×	1	valid
211.0ms	992×	0	exit
4.0ms	24×	1	exit
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-exp: 364.0ms (24.7% of total)

ival-mult: 359.0ms (24.4% of total)

ival-div: 214.0ms (14.5% of total)

ival-sub: 202.0ms (13.7% of total)

ival-add: 114.0ms (7.7% of total)

adjust: 102.0ms (6.9% of total)

ival-neg: 97.0ms (6.6% of total)

exact: 10.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain331.0ms (2.6%)

Memory

8.6MiB live, 812.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
67	8	(-4.6283246194980196e-85 -0.0007550763347330791)	-	`(-.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	75	0

Confusion

	Predicted +	Predicted -
+	67	0
-	8	181

Precision

0.8933333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	8	0	181

Precision?

0.8933333333333333

Recall?

1.0

Freqs

test

number	freq
0	181
1	75

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	370×	0	valid
52.0ms	142×	1	valid

Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-exp: 20.0ms (25.9% of total)

ival-mult: 16.0ms (20.7% of total)

ival-sub: 11.0ms (14.2% of total)

ival-div: 10.0ms (13% of total)

ival-neg: 6.0ms (7.8% of total)

ival-add: 6.0ms (7.8% of total)

adjust: 5.0ms (6.5% of total)

exact: 1.0ms (1.3% of total)

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

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

preprocess244.0ms (1.9%)

Memory

-20.3MiB live, 457.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
2 706×	`lower-*.f32`
2 698×	`lower-*.f64`
1 598×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	155
1	168	138
2	524	135
3	1740	135
4	4682	133
0	19	29
0	34	29
1	70	29
2	169	27
3	513	27
4	1130	27
5	3343	25
6	7591	25
0	8123	23

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))

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

Symmetry

(abs eps)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

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 31 to 19 computations (38.7% saved)

simplify259.0ms (2.1%)

Memory

6.0MiB live, 403.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.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)))))
cost-diff	704	(/.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))

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
2 706×	`lower-*.f32`
2 698×	`lower-*.f64`
1 598×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	34	141
1	70	141
2	169	131
3	513	131
4	1130	131
5	3343	129
6	7591	129
0	8123	123

Stop Event

1×	iter limit
1×	node limit
1×	iter 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))
(-.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 (.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))
(fma.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(-.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)))))
(fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (*.f64 eps x) 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (.f64 eps x) 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)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 x (*.f64 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 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 eps x x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)

localize73.0ms (0.6%)

Memory

-9.9MiB live, 192.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.01297628162065376	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	16.23046866110482	(-.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)))))

Samples

26.0ms	71×	1	valid
24.0ms	185×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-exp: 11.0ms (30.1% of total)

ival-mult: 7.0ms (19.2% of total)

ival-div: 5.0ms (13.7% of total)

ival-sub: 4.0ms (11% of total)

adjust: 3.0ms (8.2% of total)

ival-neg: 3.0ms (8.2% of total)

ival-add: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

16.5MiB live, 55.5MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
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#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- eps 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (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))))))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x (+ 1 eps)))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms	x	@	-inf	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms	eps	@	-inf	(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
2.0ms	eps	@	-inf	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms	x	@	inf	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

simplify364.0ms (2.9%)

Memory

-26.9MiB live, 501.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 388×	`lower-fma.f64`
13 388×	`lower-fma.f32`
4 374×	`lower-*.f64`
4 374×	`lower-*.f32`
3 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	2821
1	900	2444
2	3064	2190
0	8271	2065

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite300.0ms (2.4%)

Memory

2.3MiB live, 571.4MiB allocated

Rules

4 830×	`lower-fma.f64`
4 830×	`lower-fma.f32`
3 930×	`lower-/.f32`
3 926×	`lower-/.f64`
3 926×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	81
0	34	81
1	131	77
2	932	74
0	8931	68

Stop Event

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

Counts

6 → 420

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

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

eval148.0ms (1.2%)

Memory: -7.8MiB live, 186.7MiB allocated
Compiler: Compiled 28 865 to 2 163 computations (92.5% saved)

prune120.0ms (1%)

Memory

8.9MiB live, 226.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	549	14	563
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	550	14	564

Accuracy

100.0%

Counts

564 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
	70.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (.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))
	56.0%	(/.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)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	38.9%	(/.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))) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	42.3%	(/.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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	36.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.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))
	35.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #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))
	75.3%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) #s(literal 2 binary64))
	74.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
	43.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
▶	75.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
▶	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	57.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
▶	43.4%	#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 932 to 472 computations (49.4% saved)

simplify271.0ms (2.1%)

Memory

13.9MiB live, 516.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	128	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.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)))))
cost-diff	192	(fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps))
cost-diff	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)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.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))) #s(literal 1 binary64))))
cost-diff	320	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
cost-diff	768	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))
cost-diff	1408	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff	0	(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Rules

11 142×	`lower-fma.f32`
11 130×	`lower-fma.f64`
3 754×	`lower--.f32`
3 742×	`lower--.f64`
3 732×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	948
0	128	944
1	270	934
2	840	882
3	4141	876
0	8204	829

Stop Event

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

Calls

Call 1

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

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

localize343.0ms (2.7%)

Memory

20.3MiB live, 853.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	2.3580768358291553	(fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
accuracy	4.2810197977836575	(fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps))
accuracy	16.23046866110482	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.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)))))
accuracy	24.090193349456577	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.01297628162065376	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	16.23046866110482	(-.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))) #s(literal 1 binary64))))
accuracy	36.67826622718869	#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
accuracy	5.957469860655706	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))
accuracy	18.237472622447722	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
accuracy	25.712900544565212	(fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))
accuracy	27.375405331490942	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
accuracy	36.19430669865002	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.01171875	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy	0.01297628162065376	(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy	0.015625	(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy	0.5826377303838506	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Samples

103.0ms	111×	1	valid
56.0ms	117×	0	valid
33.0ms	28×	2	valid

Compiler

Compiled 786 to 57 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 53.0ms (37.2% of total)

ival-add: 24.0ms (16.8% of total)

adjust: 22.0ms (15.4% of total)

ival-exp: 14.0ms (9.8% of total)

ival-div: 11.0ms (7.7% of total)

ival-sub: 9.0ms (6.3% of total)

const: 5.0ms (3.5% of total)

ival-neg: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series81.0ms (0.6%)

Memory

-9.2MiB live, 221.5MiB allocated

Counts

25 → 588

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (patch (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (.f64 x eps) x)) (patch (exp.f64 (-.f64 (.f64 x eps) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64))) (patch (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.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))) #s(literal 1 binary64)))) (patch (-.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))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())
#s(alt (/.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))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (patch (/.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))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) (patch (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.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))))) (patch (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.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))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 #s(literal -1 binary64) eps)) (patch (.f64 x (-.f64 #s(literal -1 binary64) eps)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (patch (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) (patch #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (patch #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* (pow eps 3) (pow x 3))) (taylor -inf eps) (#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* -1/6 (pow x 3))))) (taylor -inf eps) (#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* -1/6 (pow x 3))))) (taylor -inf eps) (#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* -1/6 (pow x 3))))) (taylor -inf eps) (#s(alt (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

147 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms	eps	@	-inf	(+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))
3.0ms	eps	@	0	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))
2.0ms	x	@	0	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))
1.0ms	eps	@	inf	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))

simplify371.0ms (2.9%)

Memory

-22.5MiB live, 716.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 350×	`lower-fma.f64`
15 350×	`lower-fma.f32`
7 400×	`lower-*.f64`
7 400×	`lower-*.f32`
5 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	12391
1	2683	11273
0	8869	10689

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 587

Calls

Call 1

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

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

rewrite579.0ms (4.6%)

Memory

14.1MiB live, 531.6MiB allocated

Rules

5 032×	`lower-fma.f32`
5 020×	`lower-fma.f64`
4 908×	`lower-*.f32`
4 878×	`lower-*.f64`
2 166×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	625
0	126	617
1	512	599
2	5115	599
0	8132	589

Stop Event

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

Counts

25 → 623

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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eval398.0ms (3.2%)

Memory: 23.4MiB live, 450.3MiB allocated
Compiler: Compiled 57 920 to 3 763 computations (93.5% saved)

prune265.0ms (2.1%)

Memory

-13.6MiB live, 420.5MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1 190	20	1 210
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	1 199	25	1 224

Accuracy

100.0%

Counts

1 224 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
	34.5%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
	70.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (.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))
	32.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	32.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	74.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
	61.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
	75.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	57.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (exp.f64 (neg.f64 x))))))
▶	95.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
	56.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	66.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) #s(literal 1 binary64)))))
	57.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	74.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
	42.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
▶	42.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	40.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))))
	38.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	74.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
✓	43.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 336 to 705 computations (47.2% saved)

simplify211.0ms (1.7%)

Memory

11.4MiB live, 405.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
cost-diff	0	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff	192	(+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
cost-diff	320	(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	320	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff	0	(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))

Rules

9 724×	`lower-fma.f32`
9 712×	`lower-fma.f64`
3 588×	`lower--.f32`
3 578×	`lower--.f64`
3 558×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	795
0	133	790
1	305	778
2	918	745
3	4212	740
0	8166	712

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (2.3%)

Memory

-10.3MiB live, 574.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))
accuracy	2.3580768358291553	(fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	16.224190680480785	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
accuracy	24.090193349456577	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.5826377303838506	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
accuracy	19.484535429152793	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
accuracy	0.01171875	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))
accuracy	16.23046866110482	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64))))
accuracy	36.67826622718869	#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
accuracy	36.764345358361986	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	18.237472622447722	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	27.585463975030407	#s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.01171875	(exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))
accuracy	0.01297628162065376	(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy	0.5826377303838506	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
accuracy	26.45776141754968	#s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))

Samples

108.0ms	105×	1	valid
94.0ms	151×	0	valid

Compiler

Compiled 576 to 73 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-add: 54.0ms (32.5% of total)

ival-mult: 45.0ms (27% of total)

ival-exp: 17.0ms (10.2% of total)

adjust: 16.0ms (9.6% of total)

ival-div: 12.0ms (7.2% of total)

const: 9.0ms (5.4% of total)

ival-sub: 7.0ms (4.2% of total)

ival-neg: 6.0ms (3.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series62.0ms (0.5%)

Memory

-24.6MiB live, 91.1MiB allocated

Counts

27 → 564

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))))))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (patch (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))) #<representation binary64>) () ())
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#s(alt (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (patch (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
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#s(alt (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* 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))) (taylor inf eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))))))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 eps) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* 1/6 (/ 1 eps)) 1/6))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

141 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(+ eps (+ (* (* x (- 1 eps)) (* (- 1 eps) (+ (* x (+ (* eps 1/6) -1/6)) 1/2))) -1))
1.0ms	eps	@	0	(/ (+ (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (* x (- -1 eps))) (neg (+ -1 (/ 1 eps))))) 2)
1.0ms	x	@	inf	(/ (+ (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (* x (- -1 eps))) (neg (+ -1 (/ 1 eps))))) 2)
1.0ms	x	@	-inf	(/ (+ (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (* x (- -1 eps))) (neg (+ -1 (/ 1 eps))))) 2)
1.0ms	x	@	-inf	(+ eps (+ (* (* x (- 1 eps)) (* (- 1 eps) (+ (* x (+ (* eps 1/6) -1/6)) 1/2))) -1))

simplify540.0ms (4.3%)

Memory

10.1MiB live, 403.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 362×	`lower-fma.f64`
14 362×	`lower-fma.f32`
7 072×	`lower-+.f64`
7 072×	`lower-+.f32`
5 954×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	835	12328
1	2895	10818
0	8926	10290

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

rewrite421.0ms (3.3%)

Memory

39.8MiB live, 341.5MiB allocated

Rules

5 784×	`lower-fma.f32`
5 772×	`lower-fma.f64`
5 514×	`lower-*.f32`
5 494×	`lower-*.f64`
2 466×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	665
0	133	659
1	609	640
2	6016	640
0	9046	624

Stop Event

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

Counts

27 → 346

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 eps x) x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x)) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 eps x) x))))
(fma.f64 (exp.f64 (-.f64 (.f64 eps x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(fma.f64 (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 eps x) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x)))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 eps x) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))))) (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x)))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(.f64 (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
(+.f64 (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))) (exp.f64 (-.f64 (.f64 eps x) x)))
(-.f64 (/.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x)))))) (/.f64 (exp.f64 (+.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
(fma.f64 (exp.f64 (.f64 eps x)) (exp.f64 (neg.f64 x)) (exp.f64 #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 eps (neg.f64 x))) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 eps (neg.f64 x))) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (+.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))))) (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(/.f64 (-.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (exp.f64 (+.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x)))))) (-.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 3 binary64))) (exp.f64 (.f64 #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (-.f64 (.f64 eps x) x))) (-.f64 (exp.f64 (+.f64 #s(approx (* x (- -1 eps)) (.f64 eps (neg.f64 x))) #s(approx ( x (- -1 eps)) (.f64 eps (neg.f64 x))))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(approx ( x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/36 binary64) #s(literal 1/36 binary64)) (.f64 eps #s(literal -1/36 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/36 binary64) #s(literal 1/36 binary64)) (*.f64 eps #s(literal -1/36 binary64)))))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/36 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64))))

eval180.0ms (1.4%)

Memory: -22.8MiB live, 176.4MiB allocated
Compiler: Compiled 33 072 to 2 052 computations (93.8% saved)

prune396.0ms (3.1%)

Memory

-4.8MiB live, 246.4MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	918	11	929
Fresh	4	15	19
Picked	3	2	5
Done	0	1	1
Total	925	29	954

Accuracy

100.0%

Counts

954 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (neg (+ -1 (/ 1 eps))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	34.5%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
	70.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (.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))
	32.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	29.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	32.0%	(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
	74.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
▶	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
▶	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
	61.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
	75.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	57.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (exp.f64 (neg.f64 x))))))
✓	95.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
	56.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	66.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) #s(literal 1 binary64)))))
▶	57.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	74.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
	37.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
	42.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
✓	42.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	42.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))))))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
	74.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
▶	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x))))
	50.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
	59.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
▶	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
✓	43.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 548 to 796 computations (48.6% saved)

simplify227.0ms (1.8%)

Memory

35.8MiB live, 379.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x))))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))

Rules

10 650×	`lower-fma.f32`
10 640×	`lower-fma.f64`
3 524×	`lower-*.f32`
3 512×	`lower-*.f64`
3 348×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1009
0	104	1003
1	247	996
2	767	950
3	2774	950
4	5618	950
0	8161	900

Stop Event

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

Calls

Call 1

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

localize331.0ms (2.6%)

Memory

-19.4MiB live, 716.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.01171875	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	0.01171875	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	27.484445271247058	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.5826377303838506	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x))))
accuracy	19.484535429152793	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x)))
accuracy	8.46098729265583	(.f64 x (.f64 eps eps))
accuracy	18.237472622447722	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
accuracy	27.375405331490942	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))
accuracy	36.07965442744465	#s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.5826377303838506	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
accuracy	19.484535429152793	#s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x)))
accuracy	26.794194821616184	#s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))
accuracy	2.342693156576655	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
accuracy	8.543223466363818	(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)
accuracy	18.237472622447722	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
accuracy	27.375405331490942	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))

Samples

93.0ms	111×	1	valid
74.0ms	117×	0	valid
71.0ms	28×	2	valid

Compiler

Compiled 732 to 63 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

adjust: 61.0ms (30.3% of total)

ival-mult: 40.0ms (19.9% of total)

ival-exp: 35.0ms (17.4% of total)

ival-add: 27.0ms (13.4% of total)

ival-div: 25.0ms (12.4% of total)

ival-sub: 9.0ms (4.5% of total)

ival-neg: 4.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.7%)

Memory

-6.0MiB live, 110.5MiB allocated

Counts

23 → 468

Calls

Call 1

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

Outputs
#s(alt (* -1/2 x) (taylor 0 eps) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) (taylor inf eps) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) (taylor inf eps) (#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) (patch (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* -1 (* eps x))) eps) (taylor 0 eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* eps (+ (* -1 eps) (* -1 x)))) eps) (taylor 0 eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* eps (+ (* -1 x) (* eps (- (* eps x) 1))))) eps) (taylor 0 eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- x (/ 1 eps))) (taylor inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- (+ x (* -1 (/ x (pow eps 2)))) (/ 1 eps))) (taylor inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
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#s(alt (* (pow eps 2) x) (taylor -inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (- x (/ 1 eps))) (taylor -inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ x (* -1 (/ (+ 1 (/ x eps)) eps)))) (taylor -inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 x) (/ 1 eps)) eps))) eps)))) (taylor -inf eps) (#s(alt #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) (patch #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor 0 eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) x) (taylor -inf eps) (#s(alt (.f64 x (.f64 eps eps)) (patch (.f64 x (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (+.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())

Calls

117 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1)
2.0ms	x	@	0	(+ (+ x 2) x)
1.0ms	x	@	-inf	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)
1.0ms	x	@	0	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)
1.0ms	x	@	inf	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)

simplify354.0ms (2.8%)

Memory

23.8MiB live, 615.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 454×	`lower-fma.f64`
13 454×	`lower-fma.f32`
6 208×	`lower-*.f64`
6 208×	`lower-*.f32`
4 238×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	10166
1	1395	9148
2	4600	8031
0	8904	7626

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
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(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) eps) x)) (* -1/2 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) eps) x)) (* -1/2 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) eps) x)) (* -1/2 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(/ 1 eps)
(/ (+ 1 (* -1 (* eps x))) eps)
(/ (+ 1 (* eps (+ (* -1 eps) (* -1 x)))) eps)
(/ (+ 1 (* eps (+ (* -1 x) (* eps (- (* eps x) 1))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (- (+ x (* -1 (/ x (pow eps 2)))) (/ 1 eps)))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 (pow eps 3)))) (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (/ x eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 x) (/ 1 eps)) eps))) eps))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))

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

rewrite297.0ms (2.4%)

Memory

-22.6MiB live, 620.1MiB allocated

Rules

4 970×	`lower-fma.f32`
4 960×	`lower-fma.f64`
4 546×	`lower-*.f32`
4 534×	`lower-*.f64`
2 292×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	868
0	104	862
1	517	849
2	5122	849
0	8143	826

Stop Event

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

Counts

23 → 325

Calls

Call 1

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

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

eval154.0ms (1.2%)

Memory: 2.6MiB live, 273.7MiB allocated
Compiler: Compiled 24 790 to 1 433 computations (94.2% saved)

prune192.0ms (1.5%)

Memory

-4.7MiB live, 444.7MiB allocated

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	843	13	856
Fresh	6	15	21
Picked	1	4	5
Done	0	3	3
Total	850	35	885

Accuracy

100.0%

Counts

885 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (neg (+ -1 (/ 1 eps))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	34.5%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
	70.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (.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))
	32.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	29.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	32.0%	(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
	74.6%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
	61.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	32.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1 binary64)))
	34.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 (.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x))) (.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
✓	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)))
	61.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 (.f64 eps x) eps)))) #s(literal 1 binary64)))
	61.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
	75.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	61.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))) #s(literal 1 binary64)))
✓	95.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))
	56.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	66.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) #s(literal 1 binary64)))))
	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) x))))
✓	57.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	43.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	37.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
	42.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
✓	42.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	44.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
✓	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x))))
	50.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
	59.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
✓	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
	2.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) #s(approx (- 1 x) (neg.f64 x)))))
	42.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	54.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	43.4%	#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 2 448 to 794 computations (67.6% saved)

regimes68.0ms (0.5%)

Memory

-6.7MiB live, 151.7MiB allocated

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

17.0ms	x
16.0ms	eps
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)))))
14.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`eps`
99.1%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
99.1%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes73.0ms (0.6%)

Memory

17.1MiB live, 134.0MiB allocated

Counts

53 → 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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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #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)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #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 (-.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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(approx (neg (+ -1 (/ 1 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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 eps (fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #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 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x)))))))

Outputs

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

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

Calls

4 calls:

27.0ms	x
16.0ms	eps
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)))))
12.0ms	(/.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
95.7%	1	`x`
100.0%	2	`eps`
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))`
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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes82.0ms (0.6%)

Memory

18.5MiB live, 137.3MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	(-.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)))))
16.0ms	x
15.0ms	eps
12.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.7%	3	`x`
95.1%	2	`eps`
95.1%	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))`
95.1%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes50.0ms (0.4%)

Memory

-22.9MiB live, 106.5MiB allocated

Counts

49 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms

(-.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)))))

14.0ms

eps

13.0ms

(/.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
94.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
94.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
91.8%	3	`eps`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes24.0ms (0.2%)

Memory

21.4MiB live, 59.2MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms

(-.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)))))

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))

Results

Accuracy	Segments	Branch
93.9%	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))`
93.9%	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)))))`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes41.0ms (0.3%)

Memory

-23.3MiB live, 98.3MiB allocated

Counts

31 → 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 (.f64 eps x) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.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) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64))))))) #s(literal 1 binary64)))

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

Calls

4 calls:

10.0ms	x
9.0ms	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
85.6%	4	`x`
77.4%	2	`eps`
80.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
80.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes10.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

27 → 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 (.f64 eps x) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.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) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) (.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.6%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-19.3MiB live, 20.1MiB allocated

Counts

25 → 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 (.f64 eps x) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.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) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

23 → 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (*.f64 eps eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 (.f64 eps x) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 x (.f64 eps eps)))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

-11.2MiB live, 28.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

25.0ms

4.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
79.6%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
79.6%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
74.9%	3	`x`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes13.0ms (0.1%)

Memory

-11.6MiB live, 30.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms

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

4.0ms

eps

3.0ms

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

Results

Accuracy	Segments	Branch
69.8%	2	`eps`
77.3%	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))`
77.3%	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)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes16.0ms (0.1%)

Memory

6.5MiB live, 45.3MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

5.0ms	x
4.0ms	eps
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
59.8%	1	`eps`
62.6%	2	`x`
59.8%	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))`
59.8%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
61.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-27.6MiB live, 11.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.8%	1	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Accuracy

Total -26.4b remaining (-72.9%)

Threshold costs -26.4b (-72.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.4%	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))`
43.4%	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)))))`
43.4%	1	`eps`
43.4%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch29.0ms (0.2%)

Memory

-13.6MiB live, 66.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.025815564655398505	12133.067979015534

Samples

18.0ms	144×	0	valid
1.0ms	6×	0	exit

Compiler

Compiled 538 to 330 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (40.7% of total)

ival-div: 2.0ms (13.6% of total)

ival-exp: 2.0ms (13.6% of total)

ival-sub: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29606214383927.934	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29606214383927.934	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch114.0ms (0.9%)

Memory

-8.5MiB live, 232.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
45.0ms	1.4998378460577423e-15	0.24057353404096138
28.0ms	1.445910411473165e-247	3.6340249517193484e-245
30.0ms	-5.5331624683428844e-235	-2.2443982314829502e-237

Samples

55.0ms	150×	1	valid
28.0ms	234×	0	valid

Compiler

Compiled 1 372 to 736 computations (46.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 19.0ms (27.9% of total)

ival-exp: 18.0ms (26.4% of total)

ival-div: 8.0ms (11.7% of total)

ival-sub: 7.0ms (10.3% of total)

adjust: 6.0ms (8.8% of total)

ival-neg: 6.0ms (8.8% of total)

ival-add: 5.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.4998378460577423e-15	0.24057353404096138
1.0ms	1.445910411473165e-247	3.6340249517193484e-245
1.0ms	-5.5331624683428844e-235	-2.2443982314829502e-237

Compiler

Compiled 1 080 to 607 computations (43.8% saved)

bsearch59.0ms (0.5%)

Memory

15.9MiB live, 136.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4998378460577423e-15	0.24057353404096138
17.0ms	1.445910411473165e-247	3.6340249517193484e-245
35.0ms	-2.623865922833857e-199	-5.281234454680798e-205

Samples

30.0ms	91×	1	valid
13.0ms	117×	0	valid

Compiler

Compiled 784 to 457 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 10.0ms (28.3% of total)

ival-mult: 7.0ms (19.8% of total)

ival-add: 5.0ms (14.1% of total)

ival-sub: 4.0ms (11.3% of total)

ival-div: 4.0ms (11.3% of total)

adjust: 3.0ms (8.5% of total)

ival-neg: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

-30.8MiB live, 7.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4998378460577423e-15	0.24057353404096138
0.0ms	1.445910411473165e-247	3.6340249517193484e-245
1.0ms	-2.623865922833857e-199	-5.281234454680798e-205

Compiler

Compiled 604 to 376 computations (37.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29606214383927.934	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29606214383927.934	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch76.0ms (0.6%)

Memory

12.6MiB live, 166.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
72.0ms	-46131996.18621023	-0.12173348356064785

Samples

38.0ms	35×	1	valid
17.0ms	109×	0	valid
7.0ms	40×	1	exit

Compiler

Compiled 304 to 195 computations (35.9% saved)

Precisions

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

ival-exp: 31.0ms (54.8% of total)

ival-neg: 6.0ms (10.6% of total)

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

adjust: 4.0ms (7.1% of total)

ival-add: 3.0ms (5.3% of total)

ival-sub: 3.0ms (5.3% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-46131996.18621023	-0.12173348356064785

Compiler

Compiled 277 to 177 computations (36.1% saved)

simplify70.0ms (0.6%)

Memory

12.0MiB live, 89.7MiB allocated

Algorithm

1×	egg-herbie

Rules

344×	`distribute-lft-neg-in_binary64`
200×	`neg-mul-1_binary64`
186×	`neg-sub0_binary64`
136×	`*-commutative_binary64`
134×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2689
1	273	2689
2	326	2678
3	386	2678
4	446	2678
5	577	2678
6	715	2678
7	875	2678
8	1029	2678
9	1120	2678
10	1166	2678
11	1190	2678
12	1205	2678
13	1217	2678
14	1227	2678
15	1230	2678

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 eps (neg.f64 x))))))))
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (/.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 x (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(if (<=.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 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.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 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -5155002705325493/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 8265812064594753/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x))))))
(if (<=.f64 x #s(literal -5155002705325493/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 8265812064594753/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x))))))
(if (<=.f64 x #s(literal -4348981496410655/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))) (if (<=.f64 x #s(literal 7872201966280717/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x))))))
(if (<=.f64 x #s(literal -4348981496410655/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7872201966280717/7872201966280717348342236651726314522606839627565764220475565031568317153405023507392663596386569558004653379220621715171372109048108541030444785631640845193093816697582678260933332408613360539868835105124282664122403089594119217080450011771426148362301864935424 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x))))))
(if (<=.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 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) x) x))))
(if (<=.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 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal -4500 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -4500 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
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(if (<=.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 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 50000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal -4500 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -4500 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) #s(approx (* (exp (neg x)) 1) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.3s (10.1%)

Memory

-16.9MiB live, 1 298.9MiB allocated

Rules

15 350×	`lower-fma.f64`
15 350×	`lower-fma.f32`
14 362×	`lower-fma.f64`
14 362×	`lower-fma.f32`
13 454×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	2821
1	900	2444
2	3064	2190
0	8271	2065
0	419	10166
1	1395	9148
2	4600	8031
0	8904	7626
0	91	665
0	133	659
1	609	640
2	6016	640
0	9046	624
0	789	12391
1	2683	11273
0	8869	10689
0	835	12328
1	2895	10818
0	8926	10290

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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

Compiler

Compiled 894 to 249 computations (72.1% saved)

preprocess164.0ms (1.3%)

Memory: 26.9MiB live, 268.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 784 to 418 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (0.3%)

sample2.4s (19.1%)

explain331.0ms (2.6%)

preprocess244.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify259.0ms (2.1%)

localize73.0ms (0.6%)

series22.0ms (0.2%)

simplify364.0ms (2.9%)

rewrite300.0ms (2.4%)

eval148.0ms (1.2%)

prune120.0ms (1%)

simplify271.0ms (2.1%)

localize343.0ms (2.7%)

series81.0ms (0.6%)

simplify371.0ms (2.9%)

rewrite579.0ms (4.6%)

eval398.0ms (3.2%)

prune265.0ms (2.1%)

simplify211.0ms (1.7%)

localize287.0ms (2.3%)

series62.0ms (0.5%)

simplify540.0ms (4.3%)

rewrite421.0ms (3.3%)

eval180.0ms (1.4%)

prune396.0ms (3.1%)

simplify227.0ms (1.8%)

localize331.0ms (2.6%)

series90.0ms (0.7%)

simplify354.0ms (2.8%)

rewrite297.0ms (2.4%)

eval154.0ms (1.2%)

prune192.0ms (1.5%)

regimes68.0ms (0.5%)

regimes73.0ms (0.6%)

regimes82.0ms (0.6%)

regimes50.0ms (0.4%)

regimes24.0ms (0.2%)

regimes41.0ms (0.3%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes33.0ms (0.3%)

regimes13.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch114.0ms (0.9%)

bsearch3.0ms (0%)

bsearch59.0ms (0.5%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch76.0ms (0.6%)

bsearch1.0ms (0%)

simplify70.0ms (0.6%)

soundness1.3s (10.1%)

preprocess164.0ms (1.3%)

end0.0ms (0%)

Profiling