Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze48.0ms (0.4%)

Memory

-12.8MiB live, 69.4MiB 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)

sample2.6s (22.5%)

Memory

80.0MiB live, 4 853.6MiB allocated

Samples

953.0ms	5 923×	0	valid
940.0ms	2 332×	1	valid
128.0ms	1 005×	0	exit
5.0ms	18×	1	exit
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 413.0ms (25.5% of total)

ival-mult: 347.0ms (21.4% of total)

ival-div: 249.0ms (15.4% of total)

ival-sub: 177.0ms (10.9% of total)

ival-add: 164.0ms (10.1% of total)

ival-neg: 145.0ms (8.9% of total)

adjust: 103.0ms (6.4% of total)

exact: 11.0ms (0.7% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

explain358.0ms (3.1%)

Memory

23.7MiB live, 569.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
77	4	(8.110409549897334e-101 -1.4765479330052761e-8)	-	`(-.f64 (.f64 (+.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	81	0

Confusion

	Predicted +	Predicted -
+	78	0
-	3	175

Precision

0.9629629629629629

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	3	0	175

Precision?

0.9629629629629629

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	156×	1	valid
64.0ms	356×	0	valid

Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 34.0ms (36.6% of total)

ival-exp: 18.0ms (19.4% of total)

ival-sub: 12.0ms (12.9% of total)

ival-div: 10.0ms (10.8% of total)

ival-add: 7.0ms (7.5% of total)

adjust: 6.0ms (6.5% of total)

ival-neg: 6.0ms (6.5% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess173.0ms (1.5%)

Memory

-11.2MiB live, 245.5MiB 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))

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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

▶

70.5%

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

simplify173.0ms (1.5%)

Memory

19.8MiB live, 169.8MiB 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
(-.f64 (.f64 (+.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#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 #s(literal 1 binary64)) x))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.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 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.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 (-.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 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))
#s(literal 2 binary64)

localize88.0ms (0.8%)

Memory

3.6MiB live, 153.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.01171875	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	18.64809640009885	(-.f64 (.f64 (+.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

38.0ms	78×	1	valid
37.0ms	178×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 15.0ms (30.7% of total)

ival-exp: 9.0ms (18.4% of total)

ival-mult: 8.0ms (16.4% of total)

ival-neg: 6.0ms (12.3% of total)

ival-sub: 5.0ms (10.2% of total)

adjust: 3.0ms (6.1% of total)

ival-add: 3.0ms (6.1% 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

4.3MiB live, 41.0MiB allocated

Counts

6 → 132

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (* (- 1 eps) x) (+ 1 (/ 1 eps)))
4.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (* (- 1 eps) x) (+ 1 (/ 1 eps)))
2.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (* (- 1 eps) x) (+ 1 (/ 1 eps)))
2.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (* (- 1 eps) x) (+ 1 (/ 1 eps)))
2.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (* (+ 1 eps) x) (* (- 1 eps) x) (+ 1 (/ 1 eps)))

simplify161.0ms (1.4%)

Memory

20.7MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 046×	`lower-fma.f64`
12 046×	`lower-fma.f32`
4 270×	`lower-*.f64`
4 270×	`lower-*.f32`
2 328×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	2534
1	733	2245
2	2539	1951
3	7540	1951
0	8290	1820

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

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

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

rewrite313.0ms (2.7%)

Memory

-49.3MiB live, 435.7MiB 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	77
0	34	77
1	131	73
2	932	72
0	8931	66

Stop Event

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

Counts

6 → 454

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

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

eval86.0ms (0.7%)

Memory: 21.0MiB live, 203.8MiB allocated
Compiler: Compiled 30 258 to 2 355 computations (92.2% saved)

prune89.0ms (0.8%)

Memory

-16.9MiB live, 199.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	578	6	584
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	6	585

Accuracy

100.0%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
▶	47.0%	#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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)))
	44.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64)) x)) x (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))))) x #s(literal 1 binary64)))
▶	99.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
▶	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
▶	47.0%	#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 424 to 174 computations (59% saved)

simplify133.0ms (1.2%)

Memory

2.8MiB live, 270.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))
cost-diff	384	(+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))
cost-diff	384	(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps))
cost-diff	2368	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))
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 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
cost-diff	512	(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 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 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff	384	(+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))
cost-diff	2368	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 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) #s(literal 1 binary64))
cost-diff	0	(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
cost-diff	0	(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
cost-diff	0	(.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))

Rules

9 574×	`lower-fma.f32`
9 564×	`lower-fma.f64`
3 296×	`lower-*.f32`
3 282×	`lower-*.f64`
2 144×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	684
0	94	682
1	203	677
2	601	605
3	2309	461
4	6189	461
0	8224	447

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

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

localize855.0ms (7.4%)

Memory

-15.8MiB live, 617.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	3.38801683862697	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))
accuracy	4.719002247307508	(fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
accuracy	19.062124285596475	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
accuracy	26.83322641620269	(fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	0.0078125	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	25.932197318679826	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (-.f64 eps #s(literal 1 binary64)) eps)
accuracy	3.38801683862697	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))))
accuracy	33.89132174740991	#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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	33.89132174740991	#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	(exp.f64 (fma.f64 eps x (neg.f64 x)))
accuracy	0	(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
accuracy	0.4724826064934252	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))

Samples

733.0ms	239×	1	valid
18.0ms	17×	2	valid

Compiler

Compiled 596 to 57 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 641.0ms

ival-exp: 338.0ms (52.7% of total)

ival-add: 117.0ms (18.3% of total)

ival-mult: 72.0ms (11.2% of total)

adjust: 58.0ms (9.1% of total)

ival-div: 37.0ms (5.8% of total)

ival-sub: 13.0ms (2% of total)

ival-neg: 4.0ms (0.6% of total)

exact: 1.0ms (0.2% of total)

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

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

series91.0ms (0.8%)

Memory

6.7MiB live, 126.8MiB allocated

Counts

23 → 420

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 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
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#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>) () ())
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#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #<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 (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
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#s(alt (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
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#s(alt (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (patch (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (patch (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #<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 #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 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)))))))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (taylor 0 eps) (#s(alt (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 eps) (#s(alt (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))))) (taylor 0 eps) (#s(alt (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) (patch (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (exp (* -1 x))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (patch (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (patch (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (patch (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))))) (taylor 0 eps) (#s(alt (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (patch (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor 0 eps) (#s(alt (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (patch (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) (taylor 0 eps) (#s(alt (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (patch (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) (taylor 0 eps) (#s(alt (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (patch (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (patch (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) (+ (/ (- eps 1) eps) (- eps 1)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (/ (+ 1 eps) eps) (+ 1 eps)) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2) (* (- -1 eps) x) (exp (+ (* eps x) (neg x))) (/ (- eps 1) eps) (- (/ 1 eps) 1) (+ (+ x 2) x) (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)))
6.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) (+ (/ (- eps 1) eps) (- eps 1)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (/ (+ 1 eps) eps) (+ 1 eps)) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2) (* (- -1 eps) x) (exp (+ (* eps x) (neg x))) (/ (- eps 1) eps) (- (/ 1 eps) 1) (+ (+ x 2) x) (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)))
5.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) (+ (/ (- eps 1) eps) (- eps 1)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (/ (+ 1 eps) eps) (+ 1 eps)) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2) (* (- -1 eps) x) (exp (+ (* eps x) (neg x))) (/ (- eps 1) eps) (- (/ 1 eps) 1) (+ (+ x 2) x) (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)))
4.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) (+ (/ (- eps 1) eps) (- eps 1)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (/ (+ 1 eps) eps) (+ 1 eps)) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2) (* (- -1 eps) x) (exp (+ (* eps x) (neg x))) (/ (- eps 1) eps) (- (/ 1 eps) 1) (+ (+ x 2) x) (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)))
4.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (exp (* (- -1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) (+ (/ (- eps 1) eps) (- eps 1)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (- (/ (+ 1 eps) eps) (+ 1 eps)) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2) (* (- -1 eps) x) (exp (+ (* eps x) (neg x))) (/ (- eps 1) eps) (- (/ 1 eps) 1) (+ (+ x 2) x) (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)))

simplify243.0ms (2.1%)

Memory

2.4MiB live, 294.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 814×	`lower-fma.f64`
12 814×	`lower-fma.f32`
6 118×	`lower-*.f64`
6 118×	`lower-*.f32`
3 012×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	460	8168
1	1543	7308
2	4828	6814
0	8398	6449

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 418

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)) (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)))))))))))
(+ (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))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 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))))))))))))
0
0
0
0
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
1
1
1
1
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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0
0
0
0
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(/ (- eps 1) eps)
(/ (- eps 1) eps)
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(/ (+ 1 (* -1 eps)) eps)
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0
0
0
0
eps
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1
1
1
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0
0
0
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1
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0
0
0
0
eps
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1
1
1
1
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0
0
0
0
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1
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(- (/ 1 eps) 1)
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(* 1/2 (* (pow eps 2) x))
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(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
1
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1
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2
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1
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1
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1
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1
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1
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1
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2
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1
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1
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2
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1
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(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
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(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
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(* x (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (* 1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
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Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 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))))))))
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(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
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(fma.f64 (fma.f64 (fma.f64 (.f64 x x) (exp.f64 (neg.f64 x)) (.f64 #s(literal 0 binary64) eps)) eps #s(literal 0 binary64)) eps (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(exp (* -1 x))
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(*.f64 (fma.f64 (neg.f64 eps) x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
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(fma.f64 (fma.f64 (neg.f64 eps) x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x) (.f64 (.f64 x #s(literal 1/2 binary64)) x))) (.f64 eps eps)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* x (exp (* -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) x)
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 2 (* x (exp (* -1 x))))
(.f64 (.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 x)))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x)
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x)
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 (* x (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(* -1 (* x (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(* -1 (* x (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(* -1 (* x (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(exp (+ (* -1 x) (* eps x)))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(.f64 (.f64 #s(literal 1/4 binary64) x) (fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))))
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(.f64 (fma.f64 (fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x) #s(literal 1/2 binary64))) x)
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(.f64 (fma.f64 (fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x) #s(literal 1/2 binary64))) x)
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(.f64 (fma.f64 (fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/4 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))) x) #s(literal 1/2 binary64))) x)

rewrite182.0ms (1.6%)

Memory

-4.8MiB live, 348.7MiB allocated

Rules

4 306×	`lower-fma.f32`
4 294×	`lower-fma.f64`
4 104×	`lower-*.f32`
4 088×	`lower-*.f64`
3 234×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	491
0	94	491
1	417	478
2	4143	478
0	8291	462

Stop Event

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

Counts

23 → 567

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (-.f64 (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (fma.f64 x eps (neg.f64 x))))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x))) (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (.f64 x #s(literal 3 binary64)))))) (+.f64 (-.f64 (exp.f64 (.f64 (fma.f64 x eps (neg.f64 x)) #s(literal 2 binary64))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (fma.f64 x eps (neg.f64 x))))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64) (.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64)) (.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
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(fma.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) x) #s(literal 1/4 binary64) (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))) x (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) x) (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) x) (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64) (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))))
(fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))) (*.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) x) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) x)) #s(literal 1/16 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)))))) (/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)))))))
(+.f64 (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))))))

eval308.0ms (2.7%)

Memory: 15.9MiB live, 538.5MiB allocated
Compiler: Compiled 56 328 to 3 647 computations (93.5% saved)

prune212.0ms (1.8%)

Memory

3.1MiB live, 610.5MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 291	16	1 307
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 295	18	1 313

Accuracy

100.0%

Counts

1 313 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	38.1%	#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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) eps #s(literal -1 binary64)) eps (.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) eps))) #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) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64)))
▶	73.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
▶	76.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64)))
▶	46.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	63.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (+ (* eps x) (neg x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	68.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
✓	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	54.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	45.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	70.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x))))
	54.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	15.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
✓	47.0%	#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 690 to 379 computations (45.1% saved)

simplify141.0ms (1.2%)

Memory

-4.1MiB live, 270.3MiB 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)) x)
cost-diff	0	#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) 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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
cost-diff	256	(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64)))
cost-diff	704	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))
cost-diff	2368	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
cost-diff	0	(.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) 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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) 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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
cost-diff	0	(.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64))))
cost-diff	0	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) 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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64)))

Rules

9 442×	`lower-fma.f32`
9 430×	`lower-fma.f64`
3 312×	`lower-*.f32`
3 294×	`lower-*.f64`
1 694×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	942
0	111	913
1	243	900
2	660	818
3	2404	584
4	5809	562
0	8291	540

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

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

localize316.0ms (2.7%)

Memory

-3.1MiB live, 878.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(*.f64 (exp.f64 (neg.f64 x)) x)
accuracy	25.932197318679826	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
accuracy	38.43381955992134	#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))
accuracy	0.0390625	(fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64)))
accuracy	3.38801683862697	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
accuracy	22.317331219012832	(/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))
accuracy	33.89132174740991	#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 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64)))
accuracy	0.12109375	(.f64 (.f64 eps x) eps)
accuracy	2.3862727461862376	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
accuracy	19.062124285596475	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
accuracy	28.13350455598668	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	2.3862727461862376	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))
accuracy	19.062124285596475	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
accuracy	35.29736094908543	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64))))
accuracy	2.3862727461862376	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64))
accuracy	4.719002247307508	(.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))
accuracy	19.062124285596475	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64)))

Samples

136.0ms	162×	1	valid
126.0ms	94×	2	valid

Compiler

Compiled 676 to 68 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 70.0ms (33.3% of total)

adjust: 48.0ms (22.8% of total)

ival-add: 39.0ms (18.5% of total)

ival-div: 22.0ms (10.5% of total)

ival-sub: 13.0ms (6.2% of total)

ival-exp: 13.0ms (6.2% of total)

ival-neg: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series76.0ms (0.7%)

Memory

-11.3MiB live, 189.9MiB allocated

Counts

22 → 444

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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64))) (patch (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64))) #<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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 #s(literal -1/2 binary64) x)) x #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) x) (patch (.f64 #s(literal -1/2 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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/2 binary64))) x #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (patch (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (patch (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) #<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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (.f64 (exp.f64 (neg.f64 x)) x))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (.f64 (exp.f64 (neg.f64 x)) x)) (patch #s(approx ( (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 x)) x) (patch (.f64 (exp.f64 (neg.f64 x)) x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 eps x) eps) (patch (.f64 (.f64 eps x) 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 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #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 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1 binary64))) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* x (+ (* (* eps 1/2) eps) -1/2)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* -1/2 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps x) eps) 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps))) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (* (* eps x) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2))
8.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* x (+ (* (* eps 1/2) eps) -1/2)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* -1/2 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps x) eps) 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps))) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (* (* eps x) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2))
6.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* x (+ (* (* eps 1/2) eps) -1/2)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* -1/2 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps x) eps) 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps))) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (* (* eps x) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2))
6.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* x (+ (* (* eps 1/2) eps) -1/2)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* -1/2 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps x) eps) 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps))) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (* (* eps x) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2))
5.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* x (+ (* (* eps 1/2) eps) -1/2)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* -1/2 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps x) eps) 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps))) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)) (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (* (* eps x) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2))

simplify256.0ms (2.2%)

Memory

-12.5MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 186×	`lower-fma.f64`
14 186×	`lower-fma.f32`
4 998×	`lower-*.f64`
4 998×	`lower-*.f32`
4 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	10330
1	1035	9724
2	3466	8958
0	8306	8380

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

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

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

rewrite360.0ms (3.1%)

Memory

16.6MiB live, 298.4MiB allocated

Rules

4 650×	`lower-*.f32`
4 632×	`lower-*.f64`
4 614×	`lower-fma.f32`
4 598×	`lower-fma.f64`
2 244×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	884
0	111	884
1	510	764
2	5281	764
0	8187	746

Stop Event

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

Counts

22 → 354

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

eval143.0ms (1.2%)

Memory: 18.6MiB live, 212.6MiB allocated
Compiler: Compiled 23 017 to 1 343 computations (94.2% saved)

prune270.0ms (2.3%)

Memory

1.5MiB live, 287.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	786	9	795
Fresh	4	7	11
Picked	2	3	5
Done	0	2	2
Total	792	21	813

Accuracy

100.0%

Counts

813 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
	49.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
	42.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) #s(literal -1/8 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))) x #s(literal 1 binary64)))
✓	73.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
▶	76.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	46.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	48.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x)) x #s(literal -1 binary64))))
	68.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
✓	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	75.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	45.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	33.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x))))
	15.0%	#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) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (.f64 x #s(literal 1/2 binary64)))))
	70.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x))))
	54.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	15.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
	10.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) x)))
▶	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
✓	47.0%	#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 785 to 404 computations (48.5% saved)

simplify152.0ms (1.3%)

Memory

-6.0MiB live, 267.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))
cost-diff	128	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))
cost-diff	384	(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps)
cost-diff	768	(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
cost-diff	128	(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64))
cost-diff	192	(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)
cost-diff	384	(-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64))
cost-diff	2688	(fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
cost-diff	384	(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
cost-diff	0	#s(approx (exp (neg x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) 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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))

Rules

10 142×	`lower-fma.f32`
10 120×	`lower-fma.f64`
3 602×	`lower-*.f32`
3 574×	`lower-*.f64`
2 684×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1108
0	146	1105
1	347	1057
2	1029	970
3	3890	865
0	8109	818

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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) x)
(*.f64 eps eps)
eps
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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64)))
(fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
(-.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x)
(-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps)
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)
(fma.f64 eps eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64)))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))
(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps))
(fma.f64 eps x x)
x
#s(literal -1/6 binary64)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #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 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(-.f64 eps #s(literal 1 binary64))
(-.f64 #s(literal -2 binary64) eps)
#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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) x)
(*.f64 eps eps)
eps
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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64)))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
#s(literal -2 binary64)
(-.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #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 #s(literal 0 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) x)
(-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps)
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(+.f64 eps #s(literal 1 binary64))
(-.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) eps (/.f64 #s(literal -1/2 binary64) eps))
(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(fma.f64 eps eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64)))
#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps)
(fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x #s(literal -2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps))
(fma.f64 (fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) x (-.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))
#s(literal 1 binary64)
eps
(fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal -1/6 binary64)) (.f64 (fma.f64 x eps x) (-.f64 eps #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))
(.f64 (.f64 (fma.f64 x eps x) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64)))
(*.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 x eps x) (-.f64 eps #s(literal -1 binary64)))
(fma.f64 eps x x)
(fma.f64 x eps x)
x
#s(literal -1/6 binary64)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #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) (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(-.f64 eps #s(literal 1 binary64))
(-.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
#s(literal 2 binary64)

localize685.0ms (5.9%)

Memory

4.9MiB live, 766.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.6771907869725	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps))
accuracy	7.6959211139881365	(+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps)
accuracy	9.480961689122152	(fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))
accuracy	18.262291710043886	#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64)))
accuracy	0.078125	(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x)
accuracy	5.638790185002021	(/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)
accuracy	19.844446747409908	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
accuracy	26.882341691286182	(fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0	(.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.4724826064934252	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	17.921875000000004	(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
accuracy	19.959913090210282	#s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64)))
accuracy	0.0078125	(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)
accuracy	11.643250419246318	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
accuracy	13.862437846644772	#s(approx (exp (neg x)) #s(literal 1 binary64))
accuracy	34.37237122340543	#s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x))
accuracy	0.9842770435951581	(fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
accuracy	6.647497797111652	(.f64 (.f64 eps eps) x)
accuracy	17.660128583005395	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
accuracy	27.932846193070407	#s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)))

Samples

533.0ms	197×	1	valid
56.0ms	58×	1	exit
3.0ms	1×	5	exit

Compiler

Compiled 799 to 95 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-mult: 310.0ms (59.8% of total)

adjust: 59.0ms (11.4% of total)

ival-add: 54.0ms (10.4% of total)

ival-sub: 40.0ms (7.7% of total)

ival-div: 21.0ms (4% of total)

ival-exp: 17.0ms (3.3% of total)

const: 12.0ms (2.3% of total)

ival-neg: 4.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series77.0ms (0.7%)

Memory

9.8MiB live, 204.8MiB allocated

Counts

25 → 504

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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) #<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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (.f64 #s(approx (exp (neg x)) #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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)) (patch #s(approx ( (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) #s(literal 1 binary64)) (patch #s(approx (exp (neg x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) (patch (+.f64 (-.f64 #s(literal -2 binary64) 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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) (patch #s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (patch (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) (patch (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) (patch (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (patch (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (patch (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 eps eps) x) (patch (.f64 (.f64 eps 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) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #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 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) (patch #s(approx (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) #<representation binary64>) () ())

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

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps eps) x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (+ (- -2 eps) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (- (- (/ (+ eps 1) eps) eps) 1) (/ (+ (* eps eps) -1) eps) (* (/ (+ (* eps eps) -1) eps) 1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (* 1/2 (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (* (* eps eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (- (/ (+ eps 1) eps) eps) 1) x) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)))
7.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps eps) x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (+ (- -2 eps) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (- (- (/ (+ eps 1) eps) eps) 1) (/ (+ (* eps eps) -1) eps) (* (/ (+ (* eps eps) -1) eps) 1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (* 1/2 (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (* (* eps eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (- (/ (+ eps 1) eps) eps) 1) x) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)))
7.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps eps) x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (+ (- -2 eps) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (- (- (/ (+ eps 1) eps) eps) 1) (/ (+ (* eps eps) -1) eps) (* (/ (+ (* eps eps) -1) eps) 1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (* 1/2 (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (* (* eps eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (- (/ (+ eps 1) eps) eps) 1) x) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)))
5.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps eps) x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (+ (- -2 eps) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (- (- (/ (+ eps 1) eps) eps) 1) (/ (+ (* eps eps) -1) eps) (* (/ (+ (* eps eps) -1) eps) 1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (* 1/2 (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (* (* eps eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (- (/ (+ eps 1) eps) eps) 1) x) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)))
5.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (* (* (* eps eps) x) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (* (exp (neg x)) x) (exp (neg x)) (+ (- -2 eps) eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (- (- (/ (+ eps 1) eps) eps) 1) (/ (+ (* eps eps) -1) eps) (* (/ (+ (* eps eps) -1) eps) 1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (* 1/2 (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (* (* eps eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (- (/ (+ eps 1) eps) eps) 1) x) (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)))

simplify276.0ms (2.4%)

Memory

-22.0MiB live, 368.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 820×	`lower-fma.f64`
10 820×	`lower-fma.f32`
8 936×	`lower-+.f64`
8 936×	`lower-+.f32`
4 802×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	11654
1	2836	10522
0	8833	9930

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

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 (* -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 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))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
-2
-2
-2
-2
(* 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)) (exp (* -1 x))))
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(+ (* 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)))))))))))
(+ (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))))))))
(/ (+ (* -1/2 x) (* 1/2 x)) eps)
(/ (+ eps (+ (* -1/2 x) (* 1/2 x))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 x))))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 x))))))) eps)
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ -1/2 eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(+ 1 (* -1/3 x))
(+ 1 (+ (* -1/3 x) (* eps (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x)))))))
(+ 1 (+ (* -1/3 x) (* eps (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (+ (* 1/6 x) (* eps (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))))))))))
(+ 1 (+ (* -1/3 x) (* eps (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (+ (* 1/6 x) (* eps (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (+ (* -1/6 (+ x (* 2 x))) (* eps (+ (* -1/6 x) (* 1/6 x)))))))))))))))
(- (* x (+ 1 (* -1/3 x))) 2)
(- (+ (* eps (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x)))))) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (+ (* eps (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))))) (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))))) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (+ (* eps (+ (* eps (* x (+ (* -1/6 x) (* 1/6 x)))) (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))))) (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))))) (* x (+ 1 (* -1/3 x)))) 2)
1/2
(+ 1/2 (* 1/2 eps))
(+ 1/2 (* 1/2 eps))
(+ 1/2 (* 1/2 eps))
(+ 1/2 (* -1/3 x))
(+ 1/2 (+ (* -1/3 x) (* eps (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))))
(+ 1/2 (+ (* -1/3 x) (* eps (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (+ (* 1/6 x) (* eps (+ 1/2 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))))))))))
(+ 1/2 (+ (* -1/3 x) (* eps (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (+ (* 1/6 x) (* eps (+ 1/2 (+ (* -1/3 x) (+ (* -1/6 x) (+ (* -1/6 (+ x (* 2 x))) (* eps (+ (* -1/6 x) (* 1/6 x))))))))))))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(/ x eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(+ (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))))))))
(- (* x (+ 1 (* -1/3 x))) 2)
(- (+ (* eps (- (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))) 1)) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (- (+ (* eps (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))))) (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x)))))) 1)) (* x (+ 1 (* -1/3 x)))) 2)
(- (+ (* eps (- (+ (* eps (+ (* eps (* x (+ (* -1/6 x) (* 1/6 x)))) (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))))) (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x)))))) 1)) (* x (+ 1 (* -1/3 x)))) 2)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 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 (* (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) 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))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) 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)))
-2
-2
-2
-2
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 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 (* -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))))
(+ (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)))
(* eps (+ (* -1/2 x) (* 1/2 x)))
(* eps (+ (* -1/2 x) (+ (* 1/2 x) (/ 1 eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))))
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
(* 1/2 eps)
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ (* -1/6 x) (* 1/6 x)))
(* (pow eps 3) (+ (* -1/3 (/ x eps)) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* 1/6 x) (/ 1 eps)))))))
(* (pow eps 3) (+ (* -2 (/ (+ 1/2 (* -1/6 x)) (pow eps 2))) (+ (* -1/3 (/ x eps)) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* -1/6 (/ (+ x (* 2 x)) (pow eps 2))) (+ (* 1/6 x) (+ (* 1/6 (/ x (pow eps 2))) (+ (/ 1 eps) (/ 1 (pow eps 2))))))))))))
(* (pow eps 3) (+ (* -2 (/ (+ 1/2 (* -1/6 x)) (pow eps 2))) (+ (* -1/3 (/ x eps)) (+ (* -1/3 (/ x (pow eps 3))) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* -1/6 (/ (+ x (* 2 x)) (pow eps 2))) (+ (* 1/6 x) (+ (* 1/6 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))))))))))))))
(* (pow eps 3) (* x (+ (* -1/6 x) (* 1/6 x))))
(* (pow eps 3) (+ (* x (+ (* -1/6 x) (* 1/6 x))) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)))
(* (pow eps 3) (+ (* x (+ (* -1/6 x) (* 1/6 x))) (+ (/ (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))) (pow eps 2)) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps))))
(* (pow eps 3) (- (+ (* x (+ (* -1/6 x) (* 1/6 x))) (+ (/ (* x (+ 1 (* -1/3 x))) (pow eps 3)) (+ (/ (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))) (pow eps 2)) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)))) (* 2 (/ 1 (pow eps 3)))))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/6 x) (* 1/6 x)))
(* (pow eps 3) (+ (* -1/3 (/ x eps)) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* 1/6 x) (* 1/2 (/ 1 eps))))))))
(* (pow eps 3) (+ (* -2 (/ (+ 1/2 (* -1/6 x)) (pow eps 2))) (+ (* -1/3 (/ x eps)) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* -1/6 (/ (+ x (* 2 x)) (pow eps 2))) (+ (* 1/6 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/2 (/ 1 eps)))))))))))
(* (pow eps 3) (+ (* -2 (/ (+ 1/2 (* -1/6 x)) (pow eps 2))) (+ (* -1/3 (/ x eps)) (+ (* -1/3 (/ x (pow eps 3))) (+ (* -1/6 x) (+ (* -1/6 (/ x eps)) (+ (* -1/6 (/ (+ x (* 2 x)) eps)) (+ (* -1/6 (/ (+ x (* 2 x)) (pow eps 2))) (+ (* 1/6 x) (+ (* 1/6 (/ x (pow eps 2))) (+ (* 1/2 (/ 1 eps)) (* 1/2 (/ 1 (pow eps 3))))))))))))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) 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 (* eps x))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(+ (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)))
(* (pow eps 3) (* x (+ (* -1/6 x) (* 1/6 x))))
(* (pow eps 3) (+ (* x (+ (* -1/6 x) (* 1/6 x))) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)))
(* (pow eps 3) (- (+ (* x (+ (* -1/6 x) (* 1/6 x))) (+ (/ (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))) (pow eps 2)) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps))) (/ 1 (pow eps 2))))
(* (pow eps 3) (- (+ (* x (+ (* -1/6 x) (* 1/6 x))) (+ (/ (* x (+ 1 (* -1/3 x))) (pow eps 3)) (+ (/ (* x (+ 1 (+ (* -2 (+ 1/2 (* -1/6 x))) (+ (* -1/6 (+ x (* 2 x))) (* 1/6 x))))) (pow eps 2)) (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)))) (+ (/ 1 (pow eps 2)) (* 2 (/ 1 (pow eps 3))))))
(* 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)))))))))
(* 1/2 (* (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) 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))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 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)))))))))
-2
-2
-2
-2
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -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 (+ (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))))
(+ (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 (* eps (+ (* -1/2 x) (* 1/2 x))))
(* -1 (* eps (- (+ (* -1/2 x) (* 1/2 x)) (/ 1 eps))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) eps))) eps)) (+ (* -1/2 x) (* 1/2 x)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) eps))) eps)) (+ (* -1/2 x) (* 1/2 x)))))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
eps
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* 1/2 eps)
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x))))) 1) eps)) (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* -1/3 x)) eps)) (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x)))))) 1) eps)) (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (* x (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)) (* x (+ (* -1/6 x) (* 1/6 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x))))) 1)) eps)) (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))))) eps)) (* x (+ (* -1/6 x) (* 1/6 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* x (+ 1 (* -1/3 x))) 2) eps)) (* x (- (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x))))) 1))) eps)) (* x (+ 1 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))))) eps)) (* x (+ (* -1/6 x) (* 1/6 x))))))
(* 1/2 eps)
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* eps (+ 1/2 (* 1/2 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x)))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x))))) eps)) (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/3 x)) eps)) (+ (* -1/6 x) (+ (* -1/6 (+ (* -2 x) (* -1 x))) (* 2 (+ 1/2 (* -1/6 x)))))) eps)) (+ (* -1/3 x) (+ (* -1/6 x) (* -1/6 (+ x (* 2 x))))))) eps)) (+ (* -1/6 x) (* 1/6 x)))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 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 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))
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1
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1
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1
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1
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x
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1
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1
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1
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2
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1
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-2
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1
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(* x (- (/ 1 eps) eps))
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(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
2
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(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (* (pow (- 1 eps) 2) (- eps 1)))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (pow (- 1 eps) 2) x)))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (pow (- 1 eps) 2) x)))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (* (pow (- 1 eps) 2) (- eps 1))) (* 1/2 (/ (pow (- 1 eps) 2) x)))))
(* (pow eps 2) x)
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(* (pow eps 2) x)
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(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
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(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
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(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
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(exp (* -1 x))
(exp (* -1 x))
(* 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))))
(* 1/2 (+ (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)))))
(+ (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))))
(* -1 (* x (+ (* -1/2 (- (/ 1 eps) eps)) (* -1/2 (/ (- (pow eps 2) 1) eps)))))
(* -1 (* x (- (+ (* -1/2 (- (/ 1 eps) eps)) (* -1/2 (/ (- (pow eps 2) 1) eps))) (/ 1 x))))
(* -1 (* x (- (+ (* -1/2 (- (/ 1 eps) eps)) (* -1/2 (/ (- (pow eps 2) 1) eps))) (/ 1 x))))
(* -1 (* x (- (+ (* -1/2 (- (/ 1 eps) eps)) (* -1/2 (/ (- (pow eps 2) 1) eps))) (/ 1 x))))
(* -1 (* x (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* -1 (* (pow x 2) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (+ (* 1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/2 (/ (pow (- 1 eps) 2) x)))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))) (* 2 (/ 1 x))) x))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))) (* 2 (/ 1 x))) x))))
(* -1 (* x (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))))
(* -1 (* x (+ (* -1/2 (/ (pow (- 1 eps) 2) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* -1 (* x (+ (* -1/2 (/ (pow (- 1 eps) 2) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* -1 (* x (+ (* -1/2 (/ (pow (- 1 eps) 2) x)) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1)))))))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 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))))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(+ (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))))
(* -1 (* (pow x 2) (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (+ (* 1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/2 (/ (pow (- 1 eps) 2) x)))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))) (+ (* 2 (/ 1 x)) (/ eps x))) x))))
(* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow (+ 1 eps) 2) (- (* -1 eps) 1))) (* -1/6 (* (pow (- 1 eps) 2) (- eps 1))))) (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))) (+ (* 2 (/ 1 x)) (/ eps x))) x))))

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

rewrite312.0ms (2.7%)

Memory

7.9MiB live, 328.4MiB allocated

Rules

4 990×	`lower-fma.f32`
4 968×	`lower-fma.f64`
4 318×	`lower-*.f32`
4 292×	`lower-*.f64`
3 042×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	759
0	143	741
1	723	680
2	7425	680
0	8467	664

Stop Event

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

Counts

25 → 417

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

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

eval196.0ms (1.7%)

Memory: 20.2MiB live, 249.7MiB allocated
Compiler: Compiled 39 182 to 2 717 computations (93.1% saved)

prune214.0ms (1.9%)

Memory

-1.6MiB live, 399.2MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	906	12	918
Fresh	3	8	11
Picked	3	2	5
Done	0	5	5
Total	912	27	939

Accuracy

100.0%

Counts

939 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
	42.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) #s(literal -1/8 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))) x #s(literal 1 binary64)))
✓	73.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	76.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	46.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	48.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal -1 binary64))))
	68.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
✓	59.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
	50.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	49.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	73.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ ( (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	39.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	44.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	46.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	54.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	40.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	55.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))) eps) #s(literal 0 binary64)) (.f64 (.f64 eps eps) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	44.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) (.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	33.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x))))
	15.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
	70.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x))))
	54.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	15.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
	10.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) x)))
✓	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) x)))
✓	47.0%	#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 1 731 to 578 computations (66.6% saved)

regimes62.0ms (0.5%)

Memory

-10.7MiB live, 139.7MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64)) x)) x (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))))) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

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

Calls

4 calls:

15.0ms	(-.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	x
13.0ms	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
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
99.3%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes56.0ms (0.5%)

Memory

8.7MiB live, 128.1MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ ( (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #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 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #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 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))) eps) #s(literal 0 binary64)) (.f64 (.f64 eps eps) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) (.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x)) x #s(literal -1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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) #s(approx (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) #s(literal -1/8 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #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 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) eps #s(literal -1 binary64)) eps (.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (+ (* eps x) (neg x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))))) x (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))) #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 (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64)) x)) x (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))

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

Calls

4 calls:

15.0ms	(/.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))
14.0ms	x
13.0ms	eps
10.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
88.0%	3	`x`
89.2%	2	`eps`
91.6%	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))`
91.6%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes24.0ms (0.2%)

Memory

21.0MiB 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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ ( (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #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 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #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 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))) eps) #s(literal 0 binary64)) (.f64 (.f64 eps eps) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) (.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x)) x #s(literal -1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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) #s(approx (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) #s(literal -1/8 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #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 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) eps #s(literal -1 binary64)) eps (.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 (exp.f64 (neg.f64 x)) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (+ (* eps x) (neg x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

2 calls:

11.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
90.9%	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))`
90.9%	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)

regimes53.0ms (0.5%)

Memory

-32.6MiB live, 98.3MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x #s(literal -2 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ ( (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2))) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #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 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #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 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))) eps) #s(literal 0 binary64)) (.f64 (.f64 eps eps) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (-.f64 (-.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) eps) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fma.f64 (.f64 (-.f64 (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #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) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) (.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (+ (* (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) x) (- -2 eps)) eps) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 x x))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (.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) eps)) (-.f64 eps #s(literal 1 binary64))))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 #s(approx (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (+ (* (* (* (+ (* eps x) x) (+ 1 eps)) (+ 1 eps)) -1/6) (* (* (- 1 eps) (- 1 eps)) (+ (* (* 1/6 x) (- eps 1)) 1/2)))) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) x)) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) x)) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x)) x #s(literal -1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) (.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) (fma.f64 #s(approx (+ ( (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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) #s(approx (+ (* (* x 1/2) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (/ (+ (* (+ (* eps eps) -1) eps) (+ (* eps eps) -1)) (* (+ eps 1) eps)))) 1) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) #s(literal -1/8 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) #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 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) eps #s(literal -1 binary64)) eps (.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps (+.f64 eps #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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps) (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps) (fma.f64 (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))))) x (-.f64 #s(literal -2 binary64) eps)) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/2 binary64)) eps #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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))

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

Calls

4 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)))))
12.0ms	x
11.0ms	eps
9.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
82.5%	3	`x`
80.0%	3	`eps`
78.8%	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))`
78.8%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes5.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps eps) x) #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 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (*.f64 eps x) eps) #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) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 (*.f64 (*.f64 eps eps) x) #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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

8.8MiB live, 47.2MiB 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 (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.2%	2	`eps`
73.9%	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))`
73.9%	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)))))`
72.5%	4	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes19.0ms (0.2%)

Memory

1.2MiB live, 40.9MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #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) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (+.f64 (-.f64 #s(literal -2 binary64) eps) eps) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

4 calls:

8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms	eps
3.0ms	x
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
54.8%	1	`eps`
61.6%	3	`x`
54.8%	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))`
54.8%	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)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

-34.2MiB live, 5.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

#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 (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Accuracy

Total -28.4b remaining (-83.7%)

Threshold costs -28.4b (-83.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.0%	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))`
47.0%	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)))))`
47.0%	1	`eps`
47.0%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000005377993	4.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000005377993	4.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch105.0ms (0.9%)

Memory

6.1MiB live, 125.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.4834151309619652e+80	2.2673527404881785e+86
69.0ms	0.0002266995649232964	45.50137771694417

Samples

26.0ms	235×	0	valid
16.0ms	53×	1	valid

Compiler

Compiled 448 to 276 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 8.0ms (24% of total)

ival-exp: 7.0ms (21% of total)

ival-sub: 5.0ms (15% of total)

ival-div: 5.0ms (15% of total)

ival-add: 3.0ms (9% of total)

ival-neg: 3.0ms (9% of total)

adjust: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory

-9.2MiB live, 66.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.4834151309619652e+80	2.2673527404881785e+86
27.0ms	45.50137771694417	3835.869159180065

Samples

8.0ms	76×	0	valid
8.0ms	27×	1	valid
5.0ms	9×	2	valid

Compiler

Compiled 393 to 239 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 4.0ms (23.5% of total)

ival-mult: 4.0ms (23.5% of total)

ival-sub: 2.0ms (11.8% of total)

adjust: 2.0ms (11.8% of total)

ival-div: 2.0ms (11.8% of total)

ival-neg: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch40.0ms (0.3%)

Memory

-4.3MiB live, 78.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.807065050631937e+214	6.822504901551658e+215
27.0ms	0.0002266995649232964	45.50137771694417

Samples

15.0ms	113×	0	valid
14.0ms	47×	1	valid

Compiler

Compiled 283 to 183 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 6.0ms (24.6% of total)

ival-exp: 5.0ms (20.5% of total)

ival-div: 4.0ms (16.4% of total)

ival-sub: 3.0ms (12.3% of total)

adjust: 2.0ms (8.2% of total)

ival-neg: 2.0ms (8.2% of total)

ival-add: 2.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0002266995649232964	45.50137771694417

Compiler

Compiled 214 to 141 computations (34.1% saved)

bsearch20.0ms (0.2%)

Memory

-0.1MiB live, 38.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	45.50137771694417	3835.869159180065

Samples

6.0ms	11×	2	valid
5.0ms	35×	0	valid
5.0ms	18×	1	valid

Compiler

Compiled 125 to 87 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 3.0ms (25% of total)

ival-mult: 2.0ms (16.7% of total)

ival-div: 1.0ms (8.3% of total)

adjust: 1.0ms (8.3% of total)

ival-sub: 1.0ms (8.3% of total)

ival-neg: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify38.0ms (0.3%)

Memory

0.4MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

244×	`distribute-lft-neg-in_binary64`
128×	`neg-mul-1_binary64`
118×	`neg-sub0_binary64`
90×	`*-commutative_binary64`
90×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1451
1	218	1451
2	259	1445
3	310	1445
4	349	1445
5	408	1445
6	478	1445
7	531	1445
8	580	1445
9	630	1445
10	691	1445
11	740	1445
12	776	1445
13	802	1445
14	813	1445
15	820	1445
16	823	1445

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 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 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 1125899909870165/562949953421312 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 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 1125899909870165/562949953421312 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) 1/2) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 45 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 x (fma.f64 (.f64 eps #s(literal 1/2 binary64)) eps #s(literal -1/2 binary64)))) x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 149999999999999993457896567777726746186226871542399193716254503645915184980033536 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal 780 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 149999999999999993457896567777726746186226871542399193716254503645915184980033536 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #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 (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 5 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) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x)))))
(if (<=.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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) x)))))
(if (<=.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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps))))
(if (<=.f64 x #s(literal 550 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps))))
#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 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (fma.f64 eps x (neg.f64 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 1125899909870165/562949953421312 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1125899909870165/562949953421312 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 (fma.f64 (.f64 (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))) #s(literal 1/2 binary64)) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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(if (<=.f64 x #s(literal 780 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 149999999999999993457896567777726746186226871542399193716254503645915184980033536 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x))))))
(if (<=.f64 x #s(literal 780 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (if (<=.f64 x #s(literal 149999999999999993457896567777726746186226871542399193716254503645915184980033536 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 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 5 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) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 x x)))))
(if (<=.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 5 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) #s(approx (+ (* (+ (* (* 1/4 (+ (* (- -1 eps) (- (/ (+ 1 eps) eps) (+ 1 eps))) (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)))) x) (* (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1))) 1/2)) x) 1) (.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64))))))
(if (<=.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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (.f64 #s(literal 0 binary64) eps))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (+ x 2) x)) 1/2) (*.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x #s(literal 1 binary64))) x)))))
(if (<=.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(approx (+ (exp ( (- -1 eps) x)) (exp (+ (* eps x) (neg x)))) (fma.f64 #s(approx (+ (- -2 eps) eps) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps))))
(if (<=.f64 x #s(literal 550 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) #s(approx (+ (* (* (- (- (/ (+ eps 1) eps) eps) 1) x) 1/2) (+ (* (* (/ (+ (* eps eps) -1) eps) 1/2) x) 1)) (*.f64 #s(literal 0 binary64) eps))))
#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 (11.7%)

Memory

-13.5MiB live, 1 271.5MiB allocated

Rules

14 186×	`lower-fma.f64`
14 186×	`lower-fma.f32`
12 814×	`lower-fma.f64`
12 814×	`lower-fma.f32`
12 046×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	884
0	111	884
1	510	764
2	5281	764
0	8187	746
0	804	11654
1	2836	10522
0	8833	9930
0	460	8168
1	1543	7308
2	4828	6814
0	8398	6449
0	57	491
0	94	491
1	417	478
2	4143	478
0	8291	462
0	231	2534
1	733	2245
2	2539	1951
3	7540	1951
0	8290	1820
0	329	10330
1	1035	9724
2	3466	8958
0	8306	8380

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

Compiler

Compiled 557 to 238 computations (57.3% saved)

preprocess95.0ms (0.8%)

Memory: 7.4MiB live, 209.6MiB allocated
Remove: (abs eps)
Compiler: Compiled 794 to 250 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (0.4%)

sample2.6s (22.5%)

explain358.0ms (3.1%)

preprocess173.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify173.0ms (1.5%)

localize88.0ms (0.8%)

series22.0ms (0.2%)

simplify161.0ms (1.4%)

rewrite313.0ms (2.7%)

eval86.0ms (0.7%)

prune89.0ms (0.8%)

simplify133.0ms (1.2%)

localize855.0ms (7.4%)

series91.0ms (0.8%)

simplify243.0ms (2.1%)

rewrite182.0ms (1.6%)

eval308.0ms (2.7%)

prune212.0ms (1.8%)

simplify141.0ms (1.2%)

localize316.0ms (2.7%)

series76.0ms (0.7%)

simplify256.0ms (2.2%)

rewrite360.0ms (3.1%)

eval143.0ms (1.2%)

prune270.0ms (2.3%)

simplify152.0ms (1.3%)

localize685.0ms (5.9%)

series77.0ms (0.7%)

simplify276.0ms (2.4%)

rewrite312.0ms (2.7%)

eval196.0ms (1.7%)

prune214.0ms (1.9%)

regimes62.0ms (0.5%)

regimes56.0ms (0.5%)

regimes24.0ms (0.2%)

regimes53.0ms (0.5%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes19.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch105.0ms (0.9%)

bsearch32.0ms (0.3%)

bsearch0.0ms (0%)

bsearch40.0ms (0.3%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

simplify38.0ms (0.3%)

soundness1.3s (11.7%)

preprocess95.0ms (0.8%)

end0.0ms (0%)

Profiling