Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze32.0ms (0.2%)

Memory

49.9MiB live, 89.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.6s (17.8%)

Memory

-71.5MiB live, 4 702.4MiB allocated

Samples

1.1s	5 959×	0	valid
873.0ms	2 297×	1	valid
118.0ms	953×	0	exit
2.0ms	15×	1	exit

Precisions

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

ival-neg: 466.0ms (27% of total)

ival-exp: 348.0ms (20.2% of total)

ival-mult: 302.0ms (17.5% of total)

ival-div: 191.0ms (11.1% of total)

ival-sub: 189.0ms (10.9% of total)

ival-add: 108.0ms (6.3% of total)

adjust: 105.0ms (6.1% of total)

exact: 9.0ms (0.5% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain344.0ms (2.3%)

Memory

-26.7MiB live, 778.7MiB 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

82.0ms	160×	1	valid
48.0ms	352×	0	valid

Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

adjust: 27.0ms (25.7% of total)

ival-exp: 23.0ms (21.9% of total)

ival-sub: 17.0ms (16.2% of total)

ival-mult: 16.0ms (15.2% of total)

ival-div: 9.0ms (8.6% of total)

ival-add: 6.0ms (5.7% of total)

ival-neg: 5.0ms (4.8% of total)

exact: 1.0ms (1% of total)

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

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

preprocess245.0ms (1.7%)

Memory

-2.6MiB live, 458.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs eps)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

simplify278.0ms (1.9%)

Memory

-12.5MiB live, 410.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (0.5%)

Memory

25.2MiB live, 213.8MiB 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

28.0ms	80×	1	valid
25.0ms	176×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 11.0ms (27.5% of total)

ival-exp: 10.0ms (25% of total)

ival-sub: 5.0ms (12.5% of total)

ival-div: 5.0ms (12.5% of total)

adjust: 3.0ms (7.5% of total)

ival-neg: 3.0ms (7.5% of total)

ival-add: 3.0ms (7.5% 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

12.8MiB live, 58.2MiB 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	x	@	inf	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
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	@	0	(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

simplify274.0ms (1.9%)

Memory

-6.6MiB live, 579.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite723.0ms (4.9%)

Memory

-21.0MiB live, 551.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 420

Calls

Call 1

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

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

eval198.0ms (1.4%)

Memory: 7.2MiB live, 188.9MiB allocated
Compiler: Compiled 28 865 to 2 163 computations (92.5% saved)

prune86.0ms (0.6%)

Memory

5.5MiB live, 285.9MiB 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 (fma.f64 x (neg.f64 eps) x)))) (.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 eps x 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 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	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 x (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	35.5%	(/.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))
	70.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)))
	6.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 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 x (+.f64 eps #s(literal -1 binary64)) (.f64 x (+.f64 eps #s(literal -1 binary64)))))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (.f64 x (-.f64 #s(literal -1 binary64) eps))))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))
	48.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
▶	78.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
▶	99.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	60.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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 888 to 436 computations (50.9% saved)

simplify285.0ms (1.9%)

Memory

6.8MiB live, 638.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	64	(/.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 eps x x)))) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))))
cost-diff	6336	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #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 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
cost-diff	896	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))
cost-diff	1408	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
cost-diff	0	(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Rules

13 668×	`lower-fma.f32`
13 658×	`lower-fma.f64`
4 856×	`lower-*.f32`
4 834×	`lower-*.f64`
3 294×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	797
0	120	783
1	240	782
2	672	721
3	3079	716
0	8244	690

Stop Event

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

Calls

Call 1

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

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

localize325.0ms (2.2%)

Memory

15.5MiB live, 692.1MiB 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 eps x 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 eps x 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 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	28.105395123173775	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
accuracy	4.200092185142687	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))
accuracy	17.048592224922313	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
accuracy	26.904892206573823	(fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))
accuracy	30.927025001898024	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
accuracy	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 x (-.f64 #s(literal -1 binary64) eps))
accuracy	0.015625	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy	0.017910009768442016	(exp.f64 (-.f64 (*.f64 x 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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Samples

96.0ms	112×	1	valid
80.0ms	33×	2	valid
66.0ms	111×	0	valid

Compiler

Compiled 714 to 56 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 55.0ms (30.4% of total)

ival-mult: 32.0ms (17.7% of total)

ival-exp: 24.0ms (13.3% of total)

ival-add: 24.0ms (13.3% of total)

adjust: 21.0ms (11.6% of total)

ival-sub: 12.0ms (6.6% of total)

ival-pow: 10.0ms (5.5% of total)

ival-neg: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.4%)

Memory

-4.7MiB live, 138.0MiB allocated

Counts

24 → 564

Calls

Call 1

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

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

141 calls:

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

simplify564.0ms (3.8%)

Memory

-22.5MiB live, 507.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 644×	`lower-fma.f64`
13 644×	`lower-fma.f32`
6 120×	`lower-*.f64`
6 120×	`lower-*.f32`
3 210×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	11731
1	2082	10347
2	6574	10032
0	9162	9530

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 563

Calls

Call 1

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

rewrite411.0ms (2.8%)

Memory

49.3MiB live, 705.6MiB allocated

Rules

4 820×	`lower-fma.f32`
4 810×	`lower-fma.f64`
4 378×	`lower-*.f32`
4 356×	`lower-*.f64`
3 708×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	578
0	120	567
1	498	549
2	4491	549
0	9164	542

Stop Event

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

Counts

24 → 841

Calls

Call 1

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

eval290.0ms (2%)

Memory: -21.9MiB live, 558.8MiB allocated
Compiler: Compiled 58 830 to 3 810 computations (93.5% saved)

prune244.0ms (1.7%)

Memory

18.4MiB live, 584.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 388	16	1 404
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 398	19	1 417

Accuracy

100.0%

Counts

1 417 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)))
	6.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (.f64 (exp.f64 (.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (.f64 eps x) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
▶	15.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
▶	78.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	55.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
	61.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
▶	78.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
▶	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) #s(literal 1 binary64)))))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
▶	60.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 x (.f64 #s(literal 1/2 binary64) x)))))
	77.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	47.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (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 824 to 429 computations (47.9% saved)

simplify276.0ms (1.9%)

Memory

-15.8MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
cost-diff	512	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff	0	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
cost-diff	0	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
cost-diff	6336	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))

Rules

12 524×	`lower-fma.f32`
12 512×	`lower-fma.f64`
4 444×	`lower-*.f32`
4 428×	`lower-*.f64`
3 106×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	915
0	112	911
1	259	904
2	776	825
3	2991	808
0	8339	770

Stop Event

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

Calls

Call 1

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

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

localize351.0ms (2.4%)

Memory

17.8MiB live, 730.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.017910009768442016	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	0.01953125	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	25.13650606262946	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
accuracy	2.112553721762585	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
accuracy	4.672398122514623	(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) 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 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
accuracy	30.927025001898024	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))
accuracy	2.112553721762585	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))
accuracy	6.698168743593902	(.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 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
accuracy	28.263819668886573	#s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))
accuracy	54.38595664588672	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
accuracy	0.0078125	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))
accuracy	0.01171875	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))
accuracy	0.017910009768442016	(exp.f64 (-.f64 (*.f64 x 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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))

Samples

125.0ms	33×	2	valid
106.0ms	112×	1	valid
50.0ms	111×	0	valid

Compiler

Compiled 694 to 67 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-sub: 48.0ms (20.7% of total)

adjust: 44.0ms (18.9% of total)

ival-exp: 38.0ms (16.4% of total)

ival-mult: 37.0ms (15.9% of total)

ival-add: 32.0ms (13.8% of total)

ival-div: 16.0ms (6.9% of total)

ival-pow: 13.0ms (5.6% of total)

ival-neg: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series92.0ms (0.6%)

Memory

-16.6MiB live, 127.5MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))
1.0ms	x	@	-inf	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)
1.0ms	x	@	0	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)
1.0ms	x	@	inf	(/ (+ (* eps (+ (* eps (+ (* x eps) -1)) (neg x))) 1) eps)
0.0ms	x	@	0	(* x (* eps eps))

simplify298.0ms (2%)

Memory

-8.1MiB live, 480.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
6 106×	`lower-*.f64`
6 106×	`lower-*.f32`
2 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	9665
1	1819	8752
2	5677	8503
0	8382	8087

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite308.0ms (2.1%)

Memory

30.0MiB live, 540.4MiB allocated

Rules

5 530×	`lower-fma.f32`
5 518×	`lower-fma.f64`
4 832×	`lower-*.f32`
4 816×	`lower-*.f64`
2 274×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	779
0	112	770
1	567	757
2	5375	757
0	8173	741

Stop Event

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

Counts

21 → 361

Calls

Call 1

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

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

eval179.0ms (1.2%)

Memory: -38.4MiB live, 351.4MiB allocated
Compiler: Compiled 23 660 to 1 634 computations (93.1% saved)

prune172.0ms (1.2%)

Memory

5.4MiB live, 452.6MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	797	20	817
Fresh	7	6	13
Picked	1	4	5
Done	0	1	1
Total	805	31	836

Accuracy

100.0%

Counts

836 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)))
	6.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 (.f64 (-.f64 (.f64 eps x) x) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (.f64 (exp.f64 (.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (-.f64 (.f64 eps x) x)) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
✓	15.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
	47.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))) #s(literal 1 binary64)))
	53.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))) #s(literal 1 binary64)))
	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) (.f64 eps (.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)))) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
✓	78.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	78.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)))
▶	77.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64)))
▶	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	47.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
▶	47.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
▶	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
✓	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (pow (exp -1) (+ (* eps x) x)) #s(literal 1 binary64)))))
	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
▶	64.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	50.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64)))) x))))
✓	60.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	56.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	47.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	43.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (pow (exp -1) (+ (* eps x) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 eps (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))))
	56.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (+ x 2) x)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 x (.f64 #s(literal 1/2 binary64) x)))))
	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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
	47.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)) #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 (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (exp.f64 (neg.f64 x))))
	47.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	56.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	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 1 487 to 724 computations (51.3% saved)

simplify286.0ms (2%)

Memory

15.8MiB live, 434.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (exp (- (* x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
cost-diff	0	(.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
cost-diff	320	(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64))
cost-diff	3648	(.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps)))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 eps x))))

Rules

11 194×	`lower-fma.f32`
11 186×	`lower-fma.f64`
3 970×	`lower-*.f32`
3 946×	`lower-*.f64`
3 148×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1513
0	100	1255
1	244	1249
2	698	1060
3	2993	1060
4	7153	1060
0	8278	989

Stop Event

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

Calls

Call 1

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

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

localize493.0ms (3.4%)

Memory

14.2MiB live, 638.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy	0.015625	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy	0.5905590483535631	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
accuracy	19.43695755398341	#s(approx (exp (- (* x eps) x)) #s(literal 1 binary64))
accuracy	4.141515408882148	(.f64 x (.f64 eps eps))
accuracy	11.075024730556855	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
accuracy	11.521905580881729	(.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
accuracy	26.098667903360916	#s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))
accuracy	0.19896483829600323	(.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps)))
accuracy	0.6917922410556337	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64))
accuracy	11.075024730556855	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64)))
accuracy	26.098667903360916	#s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))
accuracy	0	(*.f64 x #s(literal -1/2 binary64))
accuracy	0.6917922410556337	(fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy	11.075024730556855	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy	22.152419389183834	#s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64)))
accuracy	0.015625	(exp.f64 (-.f64 x (*.f64 eps x)))
accuracy	0.015625	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy	0.03125	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 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 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Samples

175.0ms	104×	1	valid
105.0ms	33×	2	valid
49.0ms	51×	0	exit
44.0ms	60×	0	valid
4.0ms	8×	1	exit

Compiler

Compiled 1 086 to 65 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 110.0ms (34.9% of total)

ival-add: 82.0ms (26% of total)

adjust: 41.0ms (13% of total)

ival-sub: 30.0ms (9.5% of total)

ival-div: 30.0ms (9.5% of total)

ival-exp: 18.0ms (5.7% of total)

ival-neg: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series107.0ms (0.7%)

Memory

-7.9MiB live, 135.8MiB allocated

Counts

25 → 588

Calls

Call 1

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

Calls

147 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(/ 1 (exp (- x (* eps x))))
2.0ms	x	@	0	(exp (- x (* eps x)))
1.0ms	eps	@	0	(* (+ (* (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) -1) (/ 1 (+ (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) -1)))
1.0ms	eps	@	inf	(* (+ (* (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) -1) (/ 1 (+ (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) -1)))
1.0ms	x	@	inf	(* (+ (* (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) -1) (/ 1 (+ (* (* x 1/2) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) -1)))

simplify369.0ms (2.5%)

Memory

-25.4MiB live, 596.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 358×	`lower-fma.f64`
11 358×	`lower-fma.f32`
6 624×	`lower-*.f64`
6 624×	`lower-*.f32`
3 570×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	13456
1	2199	12043
2	7537	11993
0	8474	11428

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

rewrite423.0ms (2.9%)

Memory

10.3MiB live, 531.4MiB allocated

Rules

5 654×	`lower-fma.f32`
5 646×	`lower-fma.f64`
4 794×	`lower-*.f32`
4 770×	`lower-*.f64`
2 318×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1326
0	100	1009
1	503	995
2	4755	995
0	8226	965

Stop Event

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

Counts

25 → 495

Calls

Call 1

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

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

eval163.0ms (1.1%)

Memory: 15.4MiB live, 240.7MiB allocated
Compiler: Compiled 43 036 to 2 003 computations (95.3% saved)

prune211.0ms (1.4%)

Memory

35.2MiB live, 419.4MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	1 341	12	1 353
Fresh	6	15	21
Picked	3	2	5
Done	0	5	5
Total	1 350	34	1 384

Accuracy

100.0%

Counts

1 384 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1/2 binary64)))
✓	15.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) (.f64 eps (.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)))) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
✓	78.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
	78.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)))
✓	77.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64)))
✓	47.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	47.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) (.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
	47.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
	99.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 (-.f64 x (.f64 x eps)) #s(literal -1/2 binary64))) (exp.f64 (.f64 (-.f64 x (.f64 x eps)) #s(literal -1/2 binary64))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
	69.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	71.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (-.f64 (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	64.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
✓	99.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
	93.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
	67.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (pow (exp -1) (+ (* eps x) x)) #s(literal 1 binary64)))))
	62.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (neg.f64 x)) (+.f64 eps #s(literal -1 binary64)))))))
	64.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
	60.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	52.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
	50.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64)))) x))))
✓	60.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	56.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	47.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	43.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (pow (exp -1) (+ (* eps x) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 eps (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))))
	56.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (+ x 2) x)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 x (.f64 #s(literal 1/2 binary64) x)))))
	29.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 eps (.f64 eps (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
	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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (exp.f64 (neg.f64 x))))
	47.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	56.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	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 2 318 to 737 computations (68.2% saved)

regimes77.0ms (0.5%)

Memory

-38.1MiB live, 112.2MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

21.0ms	(/.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))
19.0ms	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)))))

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 (0.4%)

Memory

33.4MiB live, 125.3MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

15.0ms	eps
14.0ms	x
13.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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)))))

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)

regimes56.0ms (0.4%)

Memory

-35.1MiB live, 66.3MiB 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))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 eps (.f64 eps (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 (.f64 eps eps) (.f64 x (.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 eps x) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx ( (exp (neg x)) (+ (+ x 2) x)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (.f64 eps (.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (*.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) (.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) #s(approx (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- ( x eps) x)) (pow (exp -1) (+ (* eps x) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))) (-.f64 eps (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) (.f64 eps (.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)))) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (exp (* x (- -1 eps))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(approx (pow (exp -1) (+ (* 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) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (exp.f64 (/.f64 (*.f64 (fma.f64 eps eps #s(literal -1 binary64)) (neg.f64 x)) (+.f64 eps #s(literal -1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64)))) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (-.f64 (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps) #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.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))) #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 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) (exp.f64 (.f64 x (-.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 x (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps)))))))

Outputs

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

Calls

4 calls:

15.0ms	eps
14.0ms	x
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)))))
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)

regimes97.0ms (0.7%)

Memory

0.9MiB live, 94.0MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

56.0ms	eps
15.0ms	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))
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)))))

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)

regimes55.0ms (0.4%)

Memory

-1.7MiB live, 92.0MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

15.0ms	x
13.0ms	eps
13.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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
90.1%	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)

regimes41.0ms (0.3%)

Memory

37.4MiB live, 80.9MiB 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) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (- x ( eps x))) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Outputs

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

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

Calls

3 calls:

15.0ms

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

13.0ms

eps

10.0ms

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

Results

Accuracy	Segments	Branch
91.8%	2	`eps`
93.6%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
93.6%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes25.0ms (0.2%)

Memory

-6.6MiB live, 36.6MiB allocated

Counts

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

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

Calls

2 calls:

13.0ms

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

8.0ms

(/.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
92.7%	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))`
92.7%	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 60 to 36 computations (40% saved)

regimes37.0ms (0.3%)

Memory

-34.0MiB live, 70.1MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

10.0ms	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))
8.0ms	eps
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
84.9%	2	`x`
78.8%	1	`eps`
81.1%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
81.1%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes16.0ms (0.1%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

4 calls:

4.0ms	x
4.0ms	eps
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
73.5%	2	`eps`
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 66 to 40 computations (39.4% saved)

regimes14.0ms (0.1%)

Memory

-19.7MiB live, 26.5MiB 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) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x #s(approx (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* eps x) x)))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 eps #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.4%	1	`eps`
64.9%	2	`x`
56.4%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
56.4%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.6%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000000001979	2.000000000003877

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

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	14.347641881589757	1636.2330563004439

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)

bsearch63.0ms (0.4%)

Memory

10.2MiB live, 55.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	0.8675728296251082	7.804818308796291e+19

Samples

40.0ms	69×	1	valid
11.0ms	107×	0	valid

Compiler

Compiled 353 to 211 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-exp: 28.0ms (60.6% of total)

ival-mult: 5.0ms (10.8% of total)

ival-sub: 3.0ms (6.5% of total)

ival-div: 3.0ms (6.5% of total)

ival-add: 2.0ms (4.3% of total)

adjust: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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)

bsearch42.0ms (0.3%)

Memory

-37.1MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.8675728296251082	7.804818308796291e+19

Samples

20.0ms	60×	0	valid
15.0ms	52×	1	valid

Compiler

Compiled 265 to 178 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (54.8% of total)

ival-exp: 5.0ms (16.1% of total)

ival-sub: 2.0ms (6.4% of total)

ival-div: 2.0ms (6.4% of total)

adjust: 2.0ms (6.4% of total)

ival-add: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Memory

-1.7MiB live, 44.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	0.8675728296251082	7.804818308796291e+19

Samples

29.0ms	15×	2	valid
9.0ms	36×	1	valid
8.0ms	77×	0	valid

Compiler

Compiled 144 to 112 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sub: 24.0ms (56.2% of total)

ival-exp: 6.0ms (14.1% of total)

ival-mult: 4.0ms (9.4% of total)

ival-div: 3.0ms (7% of total)

adjust: 2.0ms (4.7% of total)

ival-neg: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

simplify72.0ms (0.5%)

Memory

-3.4MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Rules

220×	`distribute-lft-neg-in_binary64`
136×	`neg-mul-1_binary64`
118×	`neg-sub0_binary64`
100×	`*-commutative_binary64`
94×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1264
1	228	1264
2	277	1253
3	338	1253
4	387	1253
5	471	1253
6	547	1253
7	643	1253
8	749	1253
9	821	1253
10	851	1253
11	858	1253

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 562949953421875/281474976710656 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps))))))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 20 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))) (exp.f64 (neg.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) #s(approx (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps))) (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 260 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ ( (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 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 (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))) (+ (/ (+ eps 1) eps) (- -1 eps)))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (exp (- ( x eps) x)) #s(literal 1 binary64)) #s(approx (exp (* x (- -1 eps))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64)))
(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)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* eps x) x)))) 2) #s(literal 0 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (.f64 eps x)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 562949953421875/281474976710656 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps))))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 562949953421875/281474976710656 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 eps x) x)) (exp.f64 #s(approx (* x (- -1 eps)) (*.f64 x (neg.f64 eps))))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness3.0s (20.3%)

Memory

57.0MiB live, 1 281.1MiB allocated

Rules

13 644×	`lower-fma.f64`
13 644×	`lower-fma.f32`
13 388×	`lower-fma.f64`
13 388×	`lower-fma.f32`
11 358×	`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	603	11731
1	2082	10347
2	6574	10032
0	9162	9530
0	647	13456
1	2199	12043
2	7537	11993
0	8474	11428
0	539	9665
1	1819	8752
2	5677	8503
0	8382	8087
0	69	578
0	120	567
1	498	549
2	4491	549
0	9164	542

Stop Event

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

Compiler

Compiled 737 to 258 computations (65% saved)

preprocess158.0ms (1.1%)

Memory: -4.1MiB live, 325.5MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 242 to 432 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze32.0ms (0.2%)

sample2.6s (17.8%)

explain344.0ms (2.3%)

preprocess245.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify278.0ms (1.9%)

localize78.0ms (0.5%)

series22.0ms (0.2%)

simplify274.0ms (1.9%)

rewrite723.0ms (4.9%)

eval198.0ms (1.4%)

prune86.0ms (0.6%)

simplify285.0ms (1.9%)

localize325.0ms (2.2%)

series61.0ms (0.4%)

simplify564.0ms (3.8%)

rewrite411.0ms (2.8%)

eval290.0ms (2%)

prune244.0ms (1.7%)

simplify276.0ms (1.9%)

localize351.0ms (2.4%)

series92.0ms (0.6%)

simplify298.0ms (2%)

rewrite308.0ms (2.1%)

eval179.0ms (1.2%)

prune172.0ms (1.2%)

simplify286.0ms (2%)

localize493.0ms (3.4%)

series107.0ms (0.7%)

simplify369.0ms (2.5%)

rewrite423.0ms (2.9%)

eval163.0ms (1.1%)

prune211.0ms (1.4%)

regimes77.0ms (0.5%)

regimes59.0ms (0.4%)

regimes56.0ms (0.4%)

regimes97.0ms (0.7%)

regimes55.0ms (0.4%)

regimes41.0ms (0.3%)

regimes25.0ms (0.2%)

regimes37.0ms (0.3%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch63.0ms (0.4%)

bsearch0.0ms (0%)

bsearch42.0ms (0.3%)

bsearch55.0ms (0.4%)

simplify72.0ms (0.5%)

soundness3.0s (20.3%)

preprocess158.0ms (1.1%)

end0.0ms (0%)

Profiling