Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze29.0ms (0.2%)

Memory

28.4MiB live, 66.7MiB 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)

sample2.5s (19.2%)

Memory

17.3MiB live, 5 061.6MiB allocated

Samples

986.0ms	2 297×	1	valid
819.0ms	5 959×	0	valid
132.0ms	953×	0	exit
3.0ms	15×	1	exit

Precisions

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

ival-exp: 430.0ms (27.2% of total)

ival-mult: 360.0ms (22.8% of total)

ival-div: 198.0ms (12.5% of total)

ival-sub: 193.0ms (12.2% of total)

ival-neg: 172.0ms (10.9% of total)

ival-add: 114.0ms (7.2% of total)

adjust: 91.0ms (5.8% of total)

exact: 11.0ms (0.7% of total)

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

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

Bogosity

explain392.0ms (3%)

Memory

54.9MiB live, 790.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
78	6	(-3.556044541831766e-79 1.06660557540873e-14)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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	84	0

Confusion

	Predicted +	Predicted -
+	78	0
-	6	172

Precision

0.9285714285714286

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	6	0	172

Precision?

0.9285714285714286

Recall?

1.0

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

120.0ms	160×	1	valid
52.0ms	352×	0	valid

Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 68.0ms (48% of total)

ival-exp: 22.0ms (15.5% of total)

ival-mult: 20.0ms (14.1% of total)

ival-sub: 9.0ms (6.4% of total)

ival-add: 9.0ms (6.4% of total)

ival-neg: 7.0ms (4.9% of total)

adjust: 6.0ms (4.2% of total)

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

preprocess250.0ms (1.9%)

Memory

-40.2MiB live, 289.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 551×	`lower-fma.f64`
5 551×	`lower-fma.f32`
1 353×	`lower-*.f32`
1 349×	`lower-*.f64`
799×	`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 (/.f64 #s(literal -1/2 binary64) eps) #s(literal -1/2 binary64)) (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

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

70.4%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify190.0ms (1.5%)

Memory

24.0MiB live, 224.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Rules

5 551×	`lower-fma.f64`
5 551×	`lower-fma.f32`
1 353×	`lower-*.f32`
1 349×	`lower-*.f64`
799×	`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 (/.f64 #s(literal -1/2 binary64) eps) #s(literal -1/2 binary64)) (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 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 (-.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)

localize104.0ms (0.8%)

Memory

-30.9MiB live, 126.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.017910009768442016	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	18.859372625575855	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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

58.0ms	80×	1	valid
22.0ms	176×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 33.0ms (49.5% of total)

ival-div: 12.0ms (18% of total)

ival-mult: 7.0ms (10.5% of total)

ival-sub: 4.0ms (6% of total)

adjust: 3.0ms (4.5% of total)

ival-neg: 3.0ms (4.5% of total)

ival-add: 3.0ms (4.5% 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

8.9MiB live, 46.4MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify220.0ms (1.7%)

Memory

26.9MiB live, 300.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 694×	`lower-fma.f64`
6 694×	`lower-fma.f32`
2 187×	`lower-*.f64`
2 187×	`lower-*.f32`
1 828×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite269.0ms (2.1%)

Memory

0.4MiB live, 415.0MiB allocated

Rules

2 415×	`lower-fma.f64`
2 415×	`lower-fma.f32`
1 965×	`lower-/.f32`
1 963×	`lower-/.f64`
1 963×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 420

Calls

Call 1

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

Outputs
(.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))
(.f64 (/.f64 (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal 2 binary64)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.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 (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x))))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
(.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.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) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal -1/2 binary64)))))
(.f64 (-.f64 (.f64 (.f64 (exp.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/8 binary64)) (.f64 (.f64 (exp.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/4 binary64) (.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal 1/4 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))
(.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))) (.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))) (fma.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))))
(.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal -1/2 binary64))
(.f64 #s(literal -1 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
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eval165.0ms (1.3%)

Memory: -21.7MiB live, 213.2MiB allocated
Compiler: Compiled 28 863 to 2 162 computations (92.5% saved)

prune117.0ms (0.9%)

Memory

-4.8MiB live, 186.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	550	13	563
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	551	13	564

Accuracy

100.0%

Counts

564 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
	38.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	38.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	51.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	35.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	6.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
	70.4%	(.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64)))
▶	78.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
	48.3%	#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)))
▶	99.0%	#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 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	60.7%	#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)))
▶	48.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 886 to 436 computations (50.8% saved)

simplify165.0ms (1.3%)

Memory

43.6MiB live, 268.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	256	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
cost-diff	640	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
cost-diff	5696	(exp.f64 #s(literal -1 binary64))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	64	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	256	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	320	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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 #s(literal 1 binary64) eps) eps) #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 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 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) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))

Rules

3 817×	`lower-fma.f32`
3 812×	`lower-fma.f64`
1 753×	`lower--.f32`
1 746×	`lower--.f64`
1 059×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	787
0	118	795
1	217	775
2	574	721
3	2421	618
4	7012	602
0	8781	595

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

localize942.0ms (7.3%)

Memory

18.2MiB live, 648.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.01171875	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
accuracy	0.017910009768442016	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	18.859372625575855	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
accuracy	0.01171875	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	18.859372625575855	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	28.105395123173775	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	4.356772882721893	(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	17.048592224922313	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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	26.904892206573823	(fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps)))
accuracy	31.753984190244125	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64))
accuracy	33.07988417878843	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
accuracy	0.015625	(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
accuracy	0.017910009768442016	(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
accuracy	0.5905590483535631	#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 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))

Samples

385.0ms	143×	1	valid
321.0ms	113×	2	valid

Compiler

Compiled 707 to 55 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 458.0ms

adjust: 123.0ms (26.9% of total)

ival-exp: 120.0ms (26.2% of total)

ival-mult: 70.0ms (15.3% of total)

ival-div: 65.0ms (14.2% of total)

ival-pow: 32.0ms (7% of total)

ival-add: 28.0ms (6.1% of total)

ival-sub: 17.0ms (3.7% of total)

ival-neg: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series70.0ms (0.5%)

Memory

-34.7MiB live, 98.0MiB allocated

Counts

25 → 528

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

Calls

132 calls:

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

simplify249.0ms (1.9%)

Memory

-2.2MiB live, 388.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 609×	`lower-fma.f64`
5 609×	`lower-fma.f32`
2 931×	`lower-*.f64`
2 931×	`lower-*.f32`
1 380×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	534	10547
1	1867	9137
2	5692	8747
0	8497	8296

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

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

rewrite273.0ms (2.1%)

Memory

11.0MiB live, 492.6MiB allocated

Rules

2 189×	`lower-fma.f32`
2 183×	`lower-fma.f64`
2 049×	`lower-*.f32`
2 038×	`lower-*.f64`
1 716×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	492
0	116	489
1	447	466
2	4280	466
0	8626	454

Stop Event

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

Counts

25 → 719

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

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

eval222.0ms (1.7%)

Memory: 7.1MiB live, 644.9MiB allocated
Compiler: Compiled 52 164 to 3 647 computations (93% saved)

prune167.0ms (1.3%)

Memory

5.4MiB live, 497.7MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 289	15	1 304
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 299	18	1 317

Accuracy

100.0%

Counts

1 317 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
	70.4%	(.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64)))
▶	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
	78.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)) x #s(literal 1 binary64)))
▶	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	99.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)))
▶	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	60.7%	#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)))
	44.7%	#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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	47.7%	#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 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
	77.9%	#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 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x #s(literal 1 binary64))))
	71.2%	#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 1) x))) 1/2) (exp.f64 (neg.f64 x))))
✓	48.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 814 to 423 computations (48% saved)

simplify188.0ms (1.4%)

Memory

7.4MiB live, 277.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))
cost-diff	0	(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 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) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 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 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	384	(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))
cost-diff	384	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64))
cost-diff	384	(+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps))
cost-diff	0	(fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) 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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
cost-diff	192	(fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 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 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 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) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
cost-diff	640	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
cost-diff	5696	(exp.f64 #s(literal -1 binary64))

Rules

4 028×	`lower-fma.f32`
4 020×	`lower-fma.f64`
1 862×	`lower--.f32`
1 858×	`lower--.f64`
1 191×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1127
0	138	1131
1	245	1117
2	632	1010
3	2607	835
4	7390	827
0	9269	822

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

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

localize693.0ms (5.3%)

Memory

-24.4MiB live, 733.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))
accuracy	0.017910009768442016	(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
accuracy	27.943116508663483	#s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))
accuracy	17.048592224922313	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	26.904892206573823	(fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps)))
accuracy	31.753984190244125	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64))
accuracy	34.690481854859414	#s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps))
accuracy	4.299884094509932	(.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)
accuracy	6.95633501604425	(.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) eps)
accuracy	8.24740048555829	(/.f64 x (*.f64 eps eps))
accuracy	17.048592224922313	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	2.112553721762585	(fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 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	17.048592224922313	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 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	34.82685002622717	#s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.0078125	(+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
accuracy	0.01171875	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
accuracy	0.017910009768442016	(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))

Samples

267.0ms	113×	2	valid
253.0ms	143×	1	valid

Compiler

Compiled 849 to 64 computations (92.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

ival-mult: 116.0ms (26.3% of total)

ival-add: 90.0ms (20.4% of total)

adjust: 65.0ms (14.7% of total)

ival-pow: 57.0ms (12.9% of total)

ival-sub: 40.0ms (9.1% of total)

ival-exp: 40.0ms (9.1% of total)

ival-div: 29.0ms (6.6% of total)

ival-neg: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series85.0ms (0.7%)

Memory

25.3MiB live, 109.9MiB allocated

Counts

28 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(+ (* (/ x (* eps eps)) -1/2) (* x 1/2))
1.0ms	x	@	inf	(+ (* (/ x (* eps eps)) -1/2) (* x 1/2))
1.0ms	eps	@	0	(+ (* (/ x (* eps eps)) -1/2) (* x 1/2))
0.0ms	eps	@	inf	(+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1)
0.0ms	x	@	-inf	(+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1)

simplify290.0ms (2.2%)

Memory

-11.8MiB live, 343.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 504×	`lower-fma.f64`
4 504×	`lower-fma.f32`
3 195×	`lower-*.f64`
3 195×	`lower-*.f32`
1 103×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	11311
1	1463	10273
2	4832	9918
0	8381	9444

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 572

Calls

Call 1

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

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

rewrite538.0ms (4.1%)

Memory

-0.9MiB live, 444.2MiB allocated

Rules

2 573×	`lower-fma.f32`
2 565×	`lower-fma.f64`
2 372×	`lower-*.f32`
2 361×	`lower-*.f64`
1 270×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	849
0	138	849
1	517	830
2	4780	830
0	8113	813

Stop Event

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

Counts

28 → 402

Calls

Call 1

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

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

eval144.0ms (1.1%)

Memory: 11.6MiB live, 433.5MiB allocated
Compiler: Compiled 33 073 to 2 151 computations (93.5% saved)

prune214.0ms (1.7%)

Memory

-0.8MiB live, 451.6MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 022	13	1 035
Fresh	7	5	12
Picked	2	3	5
Done	0	1	1
Total	1 031	22	1 053

Accuracy

100.0%

Counts

1 053 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
	70.4%	(.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64)))
	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	78.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)) x #s(literal 1 binary64)))
	38.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
	76.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
✓	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 #s(approx ( (- -1 eps) x) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64)))
✓	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
✓	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	64.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	60.7%	#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)))
	44.7%	#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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	32.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
▶	47.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x #s(literal 1 binary64))))
	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶	47.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x))))
✓	48.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 901 to 450 computations (50.1% saved)

simplify175.0ms (1.3%)

Memory

-4.4MiB live, 241.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow (exp -1) (+ (* x eps) x)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (pow (exp -1) (+ (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
cost-diff	0	(.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 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) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x #s(literal 1 binary64))))
cost-diff	128	(*.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64)))
cost-diff	128	(.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))
cost-diff	0	(.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)
cost-diff	0	#s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x))
cost-diff	0	(fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(+.f64 (exp.f64 #s(approx (* (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff	0	(.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) 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 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))

Rules

4 528×	`lower-fma.f32`
4 522×	`lower-fma.f64`
1 247×	`lower--.f32`
1 243×	`lower--.f64`
1 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1003
0	130	1000
1	267	937
2	784	861
3	3395	807
0	8337	786

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

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

localize412.0ms (3.2%)

Memory

-6.1MiB live, 824.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 #s(approx (pow (exp -1) (+ (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
accuracy	0.017910009768442016	(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
accuracy	16.039000344715426	#s(approx (pow (exp -1) (+ (* x eps) x)) #s(literal 1 binary64))
accuracy	1.0429687500000002	(fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
accuracy	3.252225565501911	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
accuracy	12.2735601777799	#s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	15.604088476640714	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)))))
accuracy	0.46067345547161437	(fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)) x #s(literal 1 binary64))
accuracy	5.739058058325302	(.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)
accuracy	12.812633925817316	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x)) x #s(literal 1 binary64)))
accuracy	28.06677375003891	#s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
accuracy	15.444941679850556	#s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(exp.f64 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps)))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
accuracy	27.56223800228322	#s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))

Samples

261.0ms	176×	1	valid
29.0ms	51×	0	exit
17.0ms	22×	1	exit
4.0ms	7×	0	valid

Compiler

Compiled 721 to 80 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult: 90.0ms (36.8% of total)

adjust: 37.0ms (15.1% of total)

ival-add: 34.0ms (13.9% of total)

ival-exp: 28.0ms (11.5% of total)

ival-sub: 16.0ms (6.5% of total)

ival-div: 15.0ms (6.1% of total)

const: 12.0ms (4.9% of total)

ival-pow: 8.0ms (3.3% of total)

ival-neg: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

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

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

series68.0ms (0.5%)

Memory

19.7MiB live, 177.5MiB allocated

Counts

25 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1)
1.0ms	x	@	0	(+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1)
1.0ms	eps	@	inf	(+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1)
1.0ms	eps	@	0	(+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1)
1.0ms	eps	@	0	(+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1))))

simplify266.0ms (2%)

Memory

1.9MiB live, 405.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 937×	`lower-fma.f64`
5 937×	`lower-fma.f32`
3 188×	`lower-*.f64`
3 188×	`lower-*.f32`
1 889×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	12080
1	2115	10711
2	7328	10681
0	8226	10201

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

rewrite243.0ms (1.9%)

Memory

-12.6MiB live, 416.8MiB allocated

Rules

2 968×	`lower-fma.f32`
2 962×	`lower-fma.f64`
2 717×	`lower-*.f32`
2 702×	`lower-*.f64`
1 193×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	828
0	130	791
1	567	725
2	5613	725
0	8955	705

Stop Event

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

Counts

25 → 333

Calls

Call 1

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

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

eval186.0ms (1.4%)

Memory: -9.5MiB live, 309.3MiB allocated
Compiler: Compiled 30 242 to 1 616 computations (94.7% saved)

prune179.0ms (1.4%)

Memory

33.2MiB live, 351.6MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	867	18	885
Fresh	5	8	13
Picked	2	3	5
Done	0	4	4
Total	874	33	907

Accuracy

100.0%

Counts

907 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.0%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
	70.4%	(.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/2 binary64)))
	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	76.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
✓	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))) (exp.f64 #s(approx ( (- -1 eps) x) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64)))
✓	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
✓	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
✓	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	64.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64)))
✓	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
	59.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	75.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	54.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	60.7%	#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)))
	51.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
	41.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) x)))
	32.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
	56.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x #s(literal 1 binary64))))
	60.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x #s(literal 1 binary64))))
	54.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #s(literal -1 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #s(literal -1 binary64)) x #s(literal 1 binary64))))
	66.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) eps)) #s(literal -1 binary64)) x #s(literal 1 binary64))))
	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	65.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #s(literal -1 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x x))) x #s(literal 1 binary64))))
	66.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) x))) x #s(literal 1 binary64))))
✓	47.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (exp.f64 (neg.f64 x))))
	2.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
✓	48.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 2 153 to 642 computations (70.2% saved)

regimes91.0ms (0.7%)

Memory

-20.1MiB live, 112.2MiB allocated

Counts

60 → 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))) (exp.f64 (.f64 (neg.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))) (exp.f64 #s(approx ( (- -1 eps) x) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 #s(approx ( (- -1 eps) x) (*.f64 (neg.f64 eps) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (.f64 (-.f64 eps #s(literal 1 binary64)) x))) (.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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
(.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #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 #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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))

Calls

4 calls:

38.0ms	x
17.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
16.0ms	eps
13.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes95.0ms (0.7%)

Memory

1.7MiB live, 116.6MiB allocated

Counts

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

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

Calls

4 calls:

45.0ms	(-.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)))))
18.0ms	x
14.0ms	eps
14.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes59.0ms (0.5%)

Memory

1.1MiB live, 109.9MiB allocated

Counts

50 → 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))

Outputs

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

Calls

4 calls:

16.0ms	x
16.0ms	eps
13.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`eps`
99.0%	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))`
99.0%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes61.0ms (0.5%)

Memory

-9.4MiB live, 107.9MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 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 (*.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 #s(approx (* (- -1 eps) x) (*.f64 (neg.f64 x) eps))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))

Calls

4 calls:

16.0ms	(-.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)))))
15.0ms	eps
13.0ms	x
10.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.8%	1	`x`
99.9%	2	`eps`
99.9%	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))`
99.9%	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 66 to 40 computations (39.4% saved)

regimes59.0ms (0.5%)

Memory

31.1MiB live, 108.2MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.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 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))

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

Calls

4 calls:

20.0ms	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))
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
89.8%	3	`x`
93.9%	2	`eps`
93.9%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
93.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes290.0ms (2.2%)

Memory

-105.3MiB live, 71.3MiB allocated

Counts

44 → 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (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 (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 (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (*.f64 (*.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Calls

3 calls:

262.0ms

eps

14.0ms

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

10.0ms

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

Results

Accuracy	Segments	Branch
91.5%	2	`eps`
93.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
93.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes24.0ms (0.2%)

Memory

-0.4MiB live, 42.9MiB 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) 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 1) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) x (-.f64 (-.f64 eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.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 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(literal -1 binary64)) eps))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (exp ( (- eps 1) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) #s(approx (/ 1 (exp ( (- 1 eps) x))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (exp ( (- -1 eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(approx (exp (* (- eps 1) 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 1) 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) (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (*.f64 (*.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Calls

2 calls:

12.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
92.4%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
92.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes39.0ms (0.3%)

Memory

-3.0MiB live, 78.6MiB allocated

Counts

30 → 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 (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #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 (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) x) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) eps) 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 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) eps) eps (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) #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) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 x #s(literal 1/2 binary64))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) eps) eps #s(literal -1/2 binary64))) (*.f64 eps eps))) eps) eps)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- -1 eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))))) x (fma.f64 (-.f64 (-.f64 eps #s(literal 1 binary64)) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 (.f64 x (/.f64 x (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64))))) (*.f64 x 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.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 (+.f64 #s(approx (pow (exp -1) (+ ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* (- eps 1) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x)) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(approx ( -1/6 (* (- eps -1) (- eps -1))) #s(literal -1/6 binary64)) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (* 1/6 (- eps 1)) #s(literal -1/6 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) (-.f64 eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (-.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))))) x (.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #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) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64)) x)))

Calls

4 calls:

11.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
9.0ms	x
8.0ms	eps
7.0ms	(/.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
85.7%	2	`x`
78.5%	1	`eps`
80.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
80.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes6.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-27.0MiB live, 12.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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)))))

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
80.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
80.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
77.2%	3	`x`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes13.0ms (0.1%)

Memory

-9.8MiB live, 29.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.9%	4	`x`
67.0%	2	`eps`
75.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
75.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes12.0ms (0.1%)

Memory

-14.3MiB live, 26.4MiB allocated

Counts

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

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

Calls

4 calls:

4.0ms	x
3.0ms	eps
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
54.9%	1	`eps`
60.6%	2	`x`
54.9%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
54.9%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes8.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Accuracy

Total -29.6b remaining (-89.5%)

Threshold costs -29.6b (-89.5%)

Counts

4 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.3%	1	`eps`
48.3%	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))`
48.3%	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)))))`
48.3%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000000001979	2.000000000003877

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14.347641881589757	1636.2330563004439

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	14.347641881589757	1636.2330563004439

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch48.0ms (0.4%)

Memory

-18.0MiB live, 99.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.8675728296251082	7.804818308796291e+19

Samples

23.0ms	69×	1	valid
12.0ms	107×	0	valid

Compiler

Compiled 408 to 233 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 8.0ms (26.7% of total)

ival-mult: 5.0ms (16.7% of total)

ival-div: 4.0ms (13.3% of total)

ival-neg: 4.0ms (13.3% of total)

ival-sub: 3.0ms (10% of total)

adjust: 3.0ms (10% of total)

ival-add: 3.0ms (10% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory

-4.4MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.8675728296251082	7.804818308796291e+19

Samples

17.0ms	51×	1	valid
7.0ms	61×	0	valid

Compiler

Compiled 353 to 211 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-exp: 5.0ms (25.5% of total)

adjust: 4.0ms (20.4% of total)

ival-mult: 4.0ms (20.4% of total)

ival-sub: 2.0ms (10.2% of total)

ival-div: 2.0ms (10.2% of total)

ival-add: 1.0ms (5.1% of total)

ival-neg: 1.0ms (5.1% 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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8675728296251082	7.804818308796291e+19

Compiler

Compiled 364 to 211 computations (42% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14.347641881589757	1636.2330563004439

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14.347641881589757	1636.2330563004439

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch36.0ms (0.3%)

Memory

28.3MiB live, 66.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.8675728296251082	7.804818308796291e+19

Samples

11.0ms	36×	1	valid
8.0ms	77×	0	valid
8.0ms	15×	2	valid

Compiler

Compiled 166 to 134 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-exp: 6.0ms (27.6% of total)

ival-mult: 4.0ms (18.4% of total)

ival-div: 3.0ms (13.8% of total)

ival-sub: 3.0ms (13.8% of total)

adjust: 2.0ms (9.2% of total)

ival-neg: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify73.0ms (0.6%)

Memory

-27.6MiB live, 48.6MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`distribute-lft-neg-in_binary64`
98×	`neg-mul-1_binary64`
89×	`neg-sub0_binary64`
69×	`*-commutative_binary64`
68×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	1746
1	269	1746
2	318	1733
3	378	1733
4	433	1733
5	574	1733
6	709	1733
7	857	1733
8	1007	1733
9	1100	1733
10	1146	1733
11	1175	1733
12	1189	1733
13	1193	1733

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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) 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 562949953421875/281474976710656 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 (exp.f64 #s(approx ( (- -1 eps) x) (.f64 (neg.f64 x) eps))) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) 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 0 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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(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 20 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 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 20 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 1) 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) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps))) (.f64 (.f64 eps eps) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(approx (+ (/ (- eps 1) eps) (- eps 1)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (pow (exp -1) (+ (* x eps) x)) (exp (* (- eps 1) x))) 1/2) (fma.f64 #s(approx (+ (* (* 1/2 x) (+ (* (+ (* (* -1/6 (* (- eps -1) (- eps -1))) (- eps -1)) (* (* 1/6 (- eps 1)) (* (- eps 1) (- eps 1)))) x) (* (+ (* (- eps 1) (- eps 1)) (* (- eps -1) (- eps -1))) 1/2))) -1) (.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 245 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) 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) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 245 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) 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 20 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 (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) x))))
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#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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
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(if (<=.f64 x #s(literal 245 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(approx (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) (.f64 (.f64 #s(approx (+ (* (/ x (* eps eps)) -1/2) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x)) eps) eps)) x #s(literal 1 binary64))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) 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 20 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 (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) x))))
(if (<=.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (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 20 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 (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/2 binary64)) 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 20 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 (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (.f64 x x)))))
(if (<=.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (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 20 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 (+ (* (* (+ (* (* x 1/2) (+ (* (+ (/ (- eps 1) eps) (- eps 1)) (- eps 1)) (* (- -1 eps) (- (+ (/ (+ 1 eps) eps) -1) eps)))) (+ (* (- (/ 1 eps) 1) (+ 1 eps)) (+ (/ (- eps 1) eps) (- eps 1)))) 1/2) x) 1) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) eps) eps)))))
(if (<=.f64 x #s(literal 465 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.7s (13%)

Memory

57.7MiB live, 1 341.0MiB allocated

Rules

6 694×	`lower-fma.f64`
6 694×	`lower-fma.f32`
5 937×	`lower-fma.f64`
5 937×	`lower-fma.f32`
5 609×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	81
0	34	81
1	131	77
2	932	74
0	8931	68
0	280	2821
1	900	2444
2	3064	2190
0	8271	2065
0	431	11311
1	1463	10273
2	4832	9918
0	8381	9444
0	67	492
0	116	489
1	447	466
2	4280	466
0	8626	454
0	614	12080
1	2115	10711
2	7328	10681
0	8226	10201
0	534	10547
1	1867	9137
2	5692	8747
0	8497	8296

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 756 to 262 computations (65.3% saved)

preprocess304.0ms (2.3%)

Memory: 0.7MiB live, 249.6MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 290 to 364 computations (71.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze29.0ms (0.2%)

sample2.5s (19.2%)

explain392.0ms (3%)

preprocess250.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify190.0ms (1.5%)

localize104.0ms (0.8%)

series22.0ms (0.2%)

simplify220.0ms (1.7%)

rewrite269.0ms (2.1%)

eval165.0ms (1.3%)

prune117.0ms (0.9%)

simplify165.0ms (1.3%)

localize942.0ms (7.3%)

series70.0ms (0.5%)

simplify249.0ms (1.9%)

rewrite273.0ms (2.1%)

eval222.0ms (1.7%)

prune167.0ms (1.3%)

simplify188.0ms (1.4%)

localize693.0ms (5.3%)

series85.0ms (0.7%)

simplify290.0ms (2.2%)

rewrite538.0ms (4.1%)

eval144.0ms (1.1%)

prune214.0ms (1.7%)

simplify175.0ms (1.3%)

localize412.0ms (3.2%)

series68.0ms (0.5%)

simplify266.0ms (2%)

rewrite243.0ms (1.9%)

eval186.0ms (1.4%)

prune179.0ms (1.4%)

regimes91.0ms (0.7%)

regimes95.0ms (0.7%)

regimes59.0ms (0.5%)

regimes61.0ms (0.5%)

regimes59.0ms (0.5%)

regimes290.0ms (2.2%)

regimes24.0ms (0.2%)

regimes39.0ms (0.3%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch48.0ms (0.4%)

bsearch31.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.3%)

simplify73.0ms (0.6%)

soundness1.7s (13%)

preprocess304.0ms (2.3%)

end0.0ms (0%)

Profiling