Metrics for NMSE Section 6.1 mentioned, A

analyze31.0ms (0.2%)

Memory

27.7MiB live, 64.8MiB 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)

sample2.8s (19.3%)

Memory

-25.8MiB live, 3 932.0MiB allocated

Samples

863.0ms	2 235×	1	valid
814.0ms	6 020×	0	valid
180.0ms	1 026×	0	exit
3.0ms	17×	1	exit
0.0ms	1×	2	valid

Precisions

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

ival-exp: 395.0ms (25.8% of total)

ival-mult: 334.0ms (21.8% of total)

ival-sub: 222.0ms (14.5% of total)

ival-div: 213.0ms (13.9% of total)

ival-neg: 131.0ms (8.5% of total)

ival-add: 129.0ms (8.4% of total)

adjust: 86.0ms (5.6% of total)

exact: 11.0ms (0.7% of total)

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

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

Bogosity

preprocess499.0ms (3.4%)

Memory

-15.2MiB live, 517.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs eps)

explain529.0ms (3.6%)

Memory

6.6MiB live, 519.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
54	4	(-7.193129171843627e-305 6.696559517741981e-6)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
0	0	-	-	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`	cancellation	57	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)))))`	nan-rescue	1	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))))`	overflow	50
↳	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`	overflow	49
↳	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`	overflow	49
↳	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`	overflow	50
↳	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`	overflow	49
↳	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`	overflow	63
↳	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`	overflow	63
↳	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`	overflow	49

Confusion

	Predicted +	Predicted -
+	54	0
-	4	198

Precision

0.9310344827586207

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	4	0	198

Precision?

0.9310344827586207

Recall?

1.0

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

112.0ms	112×	1	valid
98.0ms	400×	0	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-exp: 48.0ms (38.4% of total)

ival-mult: 42.0ms (33.6% of total)

ival-sub: 9.0ms (7.2% of total)

ival-div: 9.0ms (7.2% of total)

ival-add: 7.0ms (5.6% of total)

ival-neg: 5.0ms (4% of total)

adjust: 4.0ms (3.2% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

79.5%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify453.0ms (3.1%)

Memory

-14.8MiB live, 453.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 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)) (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)

localize149.0ms (1%)

Memory

-0.7MiB live, 140.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	79.5%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

104.0ms	200×	0	valid
19.0ms	56×	1	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-exp: 39.0ms (61.5% of total)

ival-mult: 7.0ms (11% of total)

ival-div: 5.0ms (7.9% of total)

ival-sub: 4.0ms (6.3% of total)

ival-neg: 3.0ms (4.7% of total)

ival-add: 3.0ms (4.7% of total)

adjust: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory

4.2MiB live, 43.2MiB allocated

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt 2>
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#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<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)>
#<alt (/ (+ (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)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<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))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>

Calls

42 calls:

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

simplify466.0ms (3.2%)

Memory

-5.5MiB live, 739.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 874×	`lower-fma.f64`
15 874×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 814×	`lower-*.f32`
4 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	3352
1	1070	3020
2	3651	2701
0	8251	2550

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

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

rewrite359.0ms (2.5%)

Memory

23.2MiB live, 657.2MiB allocated

Algorithm

1×	batch-egg-rewrite

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	100
0	34	100
1	131	94
2	932	92
0	8931	84

Stop Event

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

Counts

7 → 528

Calls

Call 1

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

eval101.0ms (0.7%)

Memory: 4.6MiB live, 269.0MiB allocated
Compiler: Compiled 34 403 to 2 620 computations (92.4% saved)

prune108.0ms (0.7%)

Memory

11.1MiB live, 298.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	685	10	695
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	686	10	696

Accuracy

100.0%

Counts

696 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (exp.f64 (fma.f64 eps x x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
	36.4%	(/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	35.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	57.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (.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))
▶	41.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	38.0%	#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) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
▶	71.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
▶	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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	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) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))
▶	38.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 596 to 320 computations (46.3% saved)

simplify428.0ms (2.9%)

Memory

-2.3MiB live, 1 061.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	cost-diff	128	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (.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)))))
✓	cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (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 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	cost-diff	128	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓	cost-diff	256	(neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓	cost-diff	1216	(fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓	cost-diff	0	(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Rules

19 254×	`lower-fma.f32`
19 240×	`lower-fma.f64`
4 312×	`lower--.f32`
4 304×	`lower--.f64`
3 460×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	860
0	107	854
1	244	839
2	778	796
3	3572	779
0	8636	748

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

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

localize651.0ms (4.4%)

Memory

-18.6MiB live, 589.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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))
✓	accuracy	97.4%	(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))
✓	accuracy	79.5%	(-.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)))))
✓	accuracy	52.0%	#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)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	79.5%	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	accuracy	37.4%	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	97.4%	(.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
✓	accuracy	83.1%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓	accuracy	69.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
✓	accuracy	56.7%	(fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	accuracy	38.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	accuracy	100.0%	(exp.f64 (fma.f64 x eps (neg.f64 x)))
✓	accuracy	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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))

Samples

173.0ms	25×	2	valid
82.0ms	111×	1	valid
56.0ms	120×	0	valid

Compiler

Compiled 742 to 53 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 185.0ms (68.4% of total)

ival-add: 36.0ms (13.3% of total)

adjust: 17.0ms (6.3% of total)

ival-exp: 13.0ms (4.8% of total)

ival-sub: 7.0ms (2.6% of total)

ival-div: 7.0ms (2.6% of total)

ival-neg: 6.0ms (2.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series55.0ms (0.4%)

Memory

-35.5MiB live, 81.1MiB allocated

Counts

24 → 552

Calls

Call 1

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

Outputs
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#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
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#<alt (+ 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))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
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#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
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#<alt (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 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)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (neg x)) (exp (* -1 x)))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<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))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
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#<alt (/ (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)) eps)>
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#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* (pow x 2) (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* (pow x 2) (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (/ (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x))) eps)>
#<alt (/ (+ (* eps (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)>
#<alt (/ (+ (* eps (+ (* eps (* x (- (* -1/2 x) (* 1/2 (+ x (* -2 x)))))) (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)>
#<alt (/ (+ (* eps (+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (* -1/2 x) (* 1/2 (+ x (* -2 x))))))) (* x (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x))))))) (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x)))) eps)>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ 1 (+ (* -1 x) (* -1 (+ 1 (* -1/2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps))))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ 1 (* -1 (+ 1 (* -1/2 x)))) (* 1/2 x))) (pow eps 3)) (+ (/ (* x (- (+ 1 (+ (* -1 x) (* -1 (+ 1 (* -1/2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)))))>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x))) eps)) (* x (- (+ 1 (* -1 (+ 1 (+ (* -1 x) (* 1/2 x))))) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<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))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (* 1/2 (* (pow x 2) (pow (- eps 1) 2)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (+ (/ 1 (pow x 2)) (/ eps x))) (/ 1 x)))>
#<alt (* 1/2 (* (pow x 2) (pow (- eps 1) 2)))>
#<alt (* (pow x 2) (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))))>
#<alt (+ 1 (* -1 (* x (+ 1 (* -1/2 x)))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (* x (+ 1 (* -1 x))))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))>
#<alt (+ 1 (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (+ 1 (* -1 x)))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1 (* -1 x))) eps)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1 (* -1 x))) eps)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (+ 1 (* -1 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* -1 x)))) (* -1 (/ (+ 1 (* -1 (* x (+ 1 (* -1/2 x))))) eps))) eps)) (* 1/2 (pow x 2))))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- eps 1) 2)))))>
#<alt (* -1 (+ 1 (* -1/2 x)))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (* -1 x))))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))>
#<alt (+ (* -1 (+ 1 (* -1/2 x))) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (/ 1 eps)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))>

Calls

138 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(+ (* (* 1/2 x) (+ -1 eps)) 1)
3.0ms	eps	@	0	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))
2.0ms	eps	@	-inf	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))
1.0ms	x	@	0	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))
1.0ms	x	@	-inf	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))

simplify522.0ms (3.6%)

Memory

21.0MiB live, 811.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 230×	`lower-fma.f64`
12 230×	`lower-fma.f32`
7 636×	`lower-+.f64`
7 636×	`lower-+.f32`
4 196×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	855	13999
1	2947	12462
0	8317	11889

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

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

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

rewrite361.0ms (2.5%)

Memory

4.5MiB live, 719.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 458×	`lower-fma.f32`
4 444×	`lower-fma.f64`
4 290×	`lower-*.f32`
4 268×	`lower-*.f64`
3 072×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	600
0	107	600
1	450	569
2	4328	569
0	8266	552

Stop Event

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

Counts

24 → 637

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

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

eval259.0ms (1.8%)

Memory: 33.1MiB live, 763.7MiB allocated
Compiler: Compiled 71 553 to 4 756 computations (93.4% saved)

prune198.0ms (1.4%)

Memory

-18.7MiB live, 565.0MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 560	22	1 582
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	1 567	25	1 592

Accuracy

100.0%

Counts

1 592 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(approx ( (+ -1 (/ 1 eps)) 1/2) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
	71.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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(approx (neg ( (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))) #s(literal 1 binary64)))
	70.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
	70.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
	62.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps eps)))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
▶	62.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
	46.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))) eps)))) #s(literal 1 binary64)))
	62.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))) (neg.f64 eps)) x))))) #s(literal 1 binary64)))
	62.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
	74.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x (neg.f64 x))) (*.f64 #s(literal -1/2 binary64) (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))) #s(literal 1 binary64)))
	72.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
▶	37.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
▶	74.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64)))
	70.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) 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 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 eps x) x)))))
✓	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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	54.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	56.1%	#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 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) #s(literal 1 binary64)))))
	61.0%	#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) (neg x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	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) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))
	72.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 x (.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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶	37.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
	72.2%	#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) (neg x))) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
✓	38.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 396 to 721 computations (48.4% saved)

simplify359.0ms (2.5%)

Memory

8.9MiB live, 644.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓	cost-diff	128	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓	cost-diff	896	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	cost-diff	320	(+.f64 x (neg.f64 x))
✓	cost-diff	384	(fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x)))
✓	cost-diff	384	(*.f64 #s(literal -1/2 binary64) (+.f64 x x))
✓	cost-diff	448	(fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x)))))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))))
✓	cost-diff	320	(+.f64 x (neg.f64 x))
✓	cost-diff	384	(*.f64 #s(literal -1/2 binary64) (+.f64 x x))
✓	cost-diff	384	(fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	192	(+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
✓	cost-diff	384	(+.f64 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) (.f64 #s(literal 1/2 binary64) (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 eps x) x)))))
✓	cost-diff	128	(*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))
✓	cost-diff	7488	(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 eps x) x)))

Rules

16 418×	`lower-fma.f32`
16 396×	`lower-fma.f64`
4 726×	`lower-*.f32`
4 692×	`lower-*.f64`
2 470×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1427
0	168	1370
1	396	1191
2	1264	1031
3	5579	1031
0	8377	987

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

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

localize460.0ms (3.1%)

Memory

3.7MiB live, 400.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓	accuracy	99.4%	(fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓	accuracy	98.3%	#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64))
✓	accuracy	97.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (*.f64 x x))))
✓	accuracy	99.6%	(/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)
✓	accuracy	99.6%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x)))))
✓	accuracy	97.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)
✓	accuracy	100.0%	(.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))
✓	accuracy	97.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
✓	accuracy	96.2%	#s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64))))
✓	accuracy	100.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
✓	accuracy	98.5%	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	95.5%	#s(approx (+ (exp (+ (* x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (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 eps x) x))))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 eps x) x))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))))
✓	accuracy	100.0%	#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 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 eps x) x)))))

Samples

259.0ms	244×	1	exit
6.0ms	12×	0	valid

Compiler

Compiled 1 063 to 86 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-mult: 87.0ms (43.1% of total)

adjust: 50.0ms (24.8% of total)

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

ival-sub: 13.0ms (6.4% of total)

ival-exp: 10.0ms (5% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

series45.0ms (0.3%)

Memory

3.6MiB live, 81.2MiB allocated

Counts

33 → 696

Calls

Call 1

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

Outputs
#<alt 2>
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#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
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#<alt (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
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#<alt -1/2>
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#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))>
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#<alt (* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))>
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#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
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#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt -1>
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#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
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#<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)))>
#<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)))>
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#<alt 1>
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#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (/ (- (* -1 (+ 1 (* -1/2 x))) (* 1/2 x)) eps)>
#<alt (/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)>
#<alt (/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (* -1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)>
#<alt (/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (+ (* -1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (/ 1 eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2)))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2))))))))) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (+ (* 1/2 x) (/ 1 eps))) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (+ 1 (/ 1 eps)) (- eps 1))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>

Calls

174 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	inf	(+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))
3.0ms	eps	@	inf	(* (+ (* x eps) x) (+ eps 1))
1.0ms	eps	@	0	(+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))
1.0ms	eps	@	0	(+ (* x (+ 1 (+ -1 (+ x (neg x))))) (* (* x eps) (* -1/2 (+ x x))))
1.0ms	x	@	0	(/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps)

simplify735.0ms (5%)

Memory

-1.9MiB live, 472.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 066×	`lower-fma.f64`
14 066×	`lower-fma.f32`
5 882×	`lower-+.f64`
5 882×	`lower-+.f32`
4 778×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	12914
1	2764	11202
0	9350	10697

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 695

Calls

Call 1

Inputs
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
-1/2
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 (* x (+ 1 eps)))
(* -1/2 x)
(+ (* -1/2 x) (* -1/2 (* eps x)))
(+ (* -1/2 x) (* -1/2 (* eps x)))
(+ (* -1/2 x) (* -1/2 (* eps x)))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* eps (+ (* -1/2 x) (* -1/2 (/ x eps))))
(* -1/2 (* eps x))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(* 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
-1
-1
-1
-1
-1
-1
-1
-1
-1
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
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1
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1
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(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(/ (+ x (* -1 x)) eps)
(/ (+ x (+ (* -1 x) (* -1 (* eps (pow x 2))))) eps)
(/ (+ x (+ (* -1 x) (* eps (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))))) eps)
(/ (+ x (+ (* -1 x) (* eps (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))))) eps)
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ x (pow eps 3))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x (pow eps 3)) (pow x 2)))))
(* (pow eps 2) (+ (* -1 (/ x (pow eps 3))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x (pow eps 3)) (pow x 2)))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ x (pow eps 3))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x (pow eps 3)) (pow x 2)))))
(* (pow eps 2) (+ (* -1 (/ x (pow eps 3))) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x (pow eps 3)) (pow x 2)))))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow x 2) (- (pow eps 2) 1))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 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 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(/ (- (* -1 (+ 1 (* -1/2 x))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (* -1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (+ (* -1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (/ 1 eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2)))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2))))))))) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (+ (* 1/2 x) (/ 1 eps))) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (.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 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (.f64 eps (.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (fma.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 x x)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x x))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps x)))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
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(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
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1
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(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
x
(+ x (* 2 (* eps x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 eps #s(literal 2 binary64))) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 eps #s(literal 2 binary64))) x)
(* (pow eps 2) x)
(.f64 x (.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x) eps) eps)
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) x)
(.f64 x (.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x) eps) eps)
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(.f64 (.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (neg.f64 x) eps)) eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(.f64 (.f64 eps eps) (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (neg.f64 x) eps)) eps)))

rewrite84.0ms (0.6%)

Memory

9.0MiB live, 95.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

412×	`lower-*.f32`
378×	`lower-*.f64`
336×	`lower-+.f32`
316×	`lower-+.f64`
262×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	894
0	168	847
0	774	842

Stop Event

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

Counts

33 → 146

Calls

Call 1

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

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

eval130.0ms (0.9%)

Memory: -20.6MiB live, 288.5MiB allocated
Compiler: Compiled 31 242 to 1 626 computations (94.8% saved)

prune84.0ms (0.6%)

Memory

18.4MiB live, 220.6MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	949	16	965
Fresh	7	11	18
Picked	5	0	5
Done	0	2	2
Total	961	29	990

Accuracy

100.0%

Counts

990 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
	71.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(approx ( (+ -1 (/ 1 eps)) 1/2) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
▶	70.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
	62.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps eps)))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
	62.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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(approx (neg ( (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
	62.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) eps) eps)))) #s(literal 1 binary64)))
	62.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
	74.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64)))
	72.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	37.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x #s(approx (+ 1 (+ -1 (+ x (neg x)))) #s(literal 0 binary64)) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
	75.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 (.f64 x eps) x (.f64 x (-.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64)))
	74.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (-.f64 x x) (.f64 eps (*.f64 x x))))) (fma.f64 x (+.f64 #s(literal -1 binary64) (-.f64 x x)) x)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
▶	70.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps))))) #s(literal 1 binary64)))
	69.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
	37.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* x (+ 1 (+ -1 (+ x (neg x))))) (* (* x eps) (* -1/2 (+ x x)))) eps) (*.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
	72.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #s(literal -1 binary64)))) eps))) #s(literal 1 binary64)))
	70.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (.f64 (.f64 x x) (fma.f64 eps eps #s(literal -1 binary64))))) #s(literal 1 binary64)))
▶	99.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 x eps) x)))))
✓	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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	54.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	56.1%	#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 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) #s(literal 1 binary64)))))
	61.0%	#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) (neg x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	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) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))
	34.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (.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 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
▶	37.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))))
▶	72.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	72.2%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
✓	38.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 460 to 759 computations (48% saved)

simplify421.0ms (2.9%)

Memory

-38.5MiB live, 741.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
✓	cost-diff	128	(neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓	cost-diff	1216	(fma.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)) #s(approx (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
✓	cost-diff	384	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	cost-diff	384	(fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps))))) #s(literal 1 binary64)))
✓	cost-diff	192	(+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps))
✓	cost-diff	320	(+.f64 x (neg.f64 x))
✓	cost-diff	704	(/.f64 (+.f64 x (neg.f64 x)) eps)
✓	cost-diff	0	(fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (exp (+ (* x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 x eps) 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) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 x eps) x)))))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))
✓	cost-diff	7488	(fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))

Rules

17 636×	`lower-fma.f32`
17 614×	`lower-fma.f64`
4 062×	`lower-*.f32`
4 034×	`lower-*.f64`
3 244×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1204
0	167	1179
1	395	1118
2	1218	962
3	5216	948
0	8349	900

Stop Event

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

Calls

Call 1

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

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

localize349.0ms (2.4%)

Memory

39.4MiB live, 751.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
✓	accuracy	99.4%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓	accuracy	97.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
✓	accuracy	96.4%	#s(approx (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
✓	accuracy	100.0%	(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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
✓	accuracy	98.5%	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	97.8%	#s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps))))
✓	accuracy	98.8%	#s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps)))))
✓	accuracy	97.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 x)) eps))))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64))))
✓	accuracy	100.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	#s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64))
✓	accuracy	95.5%	#s(approx (+ (exp (+ (* x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 x eps) x))))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	#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 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 x eps) x)))))

Samples

214.0ms	244×	1	exit
9.0ms	12×	0	valid

Compiler

Compiled 887 to 93 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 56.0ms (32.8% of total)

adjust: 47.0ms (27.6% of total)

ival-add: 31.0ms (18.2% of total)

ival-exp: 14.0ms (8.2% of total)

ival-div: 8.0ms (4.7% of total)

ival-sub: 8.0ms (4.7% of total)

ival-neg: 5.0ms (2.9% of total)

exact: 1.0ms (0.6% of total)

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

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

series27.0ms (0.2%)

Memory

-27.4MiB live, 50.0MiB allocated

Counts

31 → 648

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))>
#<alt -1/2>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (- (* -1/2 eps) 1/2)>
#<alt (* -1/2 eps)>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1/2 eps)>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))>
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<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))))))))))>
#<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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
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#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>

Calls

162 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2))
1.0ms	eps	@	0	(+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2))
0.0ms	x	@	inf	(+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2))
0.0ms	eps	@	inf	(+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2))
0.0ms	eps	@	-inf	(+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2))

simplify514.0ms (3.5%)

Memory

38.7MiB live, 825.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 174×	`lower-fma.f64`
15 174×	`lower-fma.f32`
6 758×	`lower-+.f64`
6 758×	`lower-+.f32`
5 384×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	825	13037
1	2836	11702
0	9315	11177

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 623

Calls

Call 1

Inputs
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 (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
-1/2
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2)))
(+ (* 1/2 (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2)))))) (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))))))
(+ (* 1/2 (+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* 1/2 (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))))))))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 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))))))))
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(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
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1
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1 x))) (+ (* -1/2 (/ x eps)) (/ 1 eps))) eps)) (* 1/2 x)))
(/ (- (* -1 (+ 1 (* -1/2 x))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (* -1/2 x) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (* -1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(/ (- (+ (* -1 (+ 1 (* -1/2 x))) (* eps (- (+ (* -1/2 x) (* eps (- (+ 1 (+ (* -1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x)))))) (* 1/2 (+ (* -1 x) (* 2 x)))))) (* 1/2 x)) eps)
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (/ 1 eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2)))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 2))) (+ (* -1 (/ (+ 1 (* -1/2 x)) (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (/ 1 eps) (/ 1 (pow eps 2))))))))) (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))))))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (+ (* 1/2 x) (/ 1 eps))) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(fma.f64 x (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/8 (pow (+ 1 eps) 3)) (+ (* -1/24 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (+ (* -1 x) (* eps x))) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (neg x)) (pow (exp (* -1/2 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x)))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (* x (exp (neg x))))) (pow (exp (* -1/2 x)) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (.f64 x (exp.f64 (neg.f64 x))) (.f64 x (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x)))) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 eps (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x)))) (.f64 (neg.f64 x) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))
(+ (exp (neg x)) (+ (* eps (+ (* -1 (* x (pow (exp (* -1/2 x)) 2))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (pow (exp (* -1/2 x)) 2))) (* eps (+ (* -1/8 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (+ (* -1/24 (* (pow x 3) (pow (exp (* -1/2 x)) 2))) (* 1/6 (* (pow x 3) (exp (neg x)))))))))) (* x (exp (neg x)))))) (pow (exp (* -1/2 x)) 2)))
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x)) (.f64 x (.f64 x x))) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (exp.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))) (*.f64 (neg.f64 x) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (+.f64 x (neg.f64 x)) x))))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* -1/2 (* x (+ 1 eps)))) 2))
(+.f64 (exp.f64 (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (-.f64 (.f64 x eps) x)))
(+ (exp (- (* eps x) x)) (pow (exp (* 1/2 (* x (- (* -1 eps) 1)))) 2))
(+.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (-.f64 (.f64 x eps) x)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(- (* -1/2 eps) 1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (exp.f64 (neg.f64 x)))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (exp.f64 (neg.f64 x))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
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(.f64 (.f64 eps eps) (-.f64 (-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 eps eps)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))) (/.f64 x (.f64 eps eps))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 x eps)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 x eps)) (/.f64 x (.f64 eps eps))) (/.f64 x (.f64 eps (.f64 eps eps)))) (*.f64 x #s(literal -1/2 binary64)))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(.f64 x (.f64 eps eps))
(* (pow eps 2) (- (+ (* -1 (/ (- (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))) (neg.f64 eps)) x))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (* 1/2 x)) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 x #s(literal -1/2 binary64))) (neg.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (neg.f64 eps)) x))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (+ 1 (+ (* -1 x) (* 1/2 x)))) (* -1 (/ (- (* -1 (+ 1 (+ (* -1 (+ 1 (* -1 x))) (* -1/2 x)))) (+ (* 1/2 x) (/ 1 eps))) eps))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) eps))) (neg.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (neg.f64 eps)) x))
(* (+ 1 (/ 1 eps)) (- eps 1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(fma.f64 x (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 (.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(fma.f64 x (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 (.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(fma.f64 x (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 (.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(.f64 x (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(.f64 x (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 eps #s(literal -1 binary64)) x))) (.f64 (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(.f64 x (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 eps #s(literal -1 binary64)) x))) (.f64 (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(.f64 x (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 eps #s(literal -1 binary64)) x))) (.f64 (*.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) eps)))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1 binary64) eps) x) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) eps))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1 binary64) eps) x) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) eps))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (-.f64 #s(literal 1 binary64) eps) x) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) eps))))))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* x (pow (+ 1 eps) 2))
(*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (fma.f64 x eps x) (neg.f64 (-.f64 #s(literal -1 binary64) eps)))
x
(+ x (* 2 (* eps x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 eps #s(literal 2 binary64))) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 eps (*.f64 x (+.f64 eps #s(literal 2 binary64))) x)
(* (pow eps 2) x)
(.f64 x (.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps)))))
(* (pow eps 2) x)
(.f64 x (.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(.f64 (.f64 eps eps) (-.f64 x (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 x eps)) eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(.f64 (.f64 eps eps) (-.f64 x (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 x eps)) eps)))

rewrite348.0ms (2.4%)

Memory

-23.5MiB live, 421.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 750×	`lower-fma.f32`
4 726×	`lower-fma.f64`
3 856×	`lower-*.f32`
3 828×	`lower-*.f64`
2 730×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	867
0	167	813
1	772	761
2	7304	761
0	8192	736

Stop Event

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

Counts

31 → 534

Calls

Call 1

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

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

eval178.0ms (1.2%)

Memory: 40.6MiB live, 342.6MiB allocated
Compiler: Compiled 45 352 to 3 566 computations (92.1% saved)

prune181.0ms (1.2%)

Memory

-32.2MiB live, 289.8MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 214	11	1 225
Fresh	4	18	22
Picked	5	0	5
Done	0	2	2
Total	1 223	31	1 254

Accuracy

100.0%

Counts

1 254 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
	70.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) 1/2) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
	62.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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(approx (neg ( (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))) #s(literal 1 binary64)))
	46.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
	62.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) eps) eps)))) #s(literal 1 binary64)))
	62.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 x (.f64 eps eps))))) #s(literal 1 binary64)))
	74.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64)))
	72.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	45.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (fma.f64 (.f64 x eps) (.f64 x eps) (.f64 (/.f64 #s(literal 0 binary64) eps) (.f64 eps eps)))) #s(literal 1 binary64)))
	37.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x #s(approx (+ 1 (+ -1 (+ x (neg x)))) #s(literal 0 binary64)) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
	75.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 (.f64 x eps) x (.f64 x (-.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64)))
	61.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (.f64 (.f64 x (.f64 eps eps)) (fma.f64 x x (/.f64 #s(literal 0 binary64) (.f64 eps eps)))) (+.f64 x (/.f64 #s(literal 0 binary64) eps)))) #s(literal 1 binary64)))
	74.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (-.f64 x x) (.f64 eps (*.f64 x x))))) (fma.f64 x (+.f64 #s(literal -1 binary64) (-.f64 x x)) x)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
	69.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
	37.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* x (+ 1 (+ -1 (+ x (neg x))))) (* (* x eps) (* -1/2 (+ x x)))) eps) (*.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
	72.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #s(literal -1 binary64)))) eps))) #s(literal 1 binary64)))
	70.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (.f64 (.f64 x x) (fma.f64 eps eps #s(literal -1 binary64))))) #s(literal 1 binary64)))
	99.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x #s(approx (* (- -1 eps) 1/2) (.f64 eps #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.f64 x eps) x)))))
✓	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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
	54.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
	56.1%	#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 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) #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) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))
	33.1%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	43.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	71.9%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	72.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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)) #s(approx ( (+ eps -1) (+ eps -1)) (*.f64 eps eps)))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
	72.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
	55.2%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
	37.9%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) #s(literal -1 binary64)) #s(literal 1 binary64))))
	72.2%	#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
✓	38.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 2 367 to 730 computations (69.2% saved)

regimes75.0ms (0.5%)

Memory

25.8MiB live, 135.5MiB allocated

Counts

60 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	eps
20.0ms	x
17.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
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
99.0%	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)

regimes284.0ms (1.9%)

Memory

-14.9MiB live, 107.0MiB 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) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) #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) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* x (+ 1 (+ -1 (+ x (neg x))))) (* (* x eps) (* -1/2 (+ x x)))) eps) (*.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (.f64 (.f64 x x) (fma.f64 eps eps #s(literal -1 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #s(literal -1 binary64)))) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x #s(approx (+ 1 (+ -1 (+ x (neg x)))) #s(literal 0 binary64)) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (fma.f64 (.f64 x eps) (.f64 x eps) (.f64 (/.f64 #s(literal 0 binary64) eps) (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.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 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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)) #s(approx ( (+ eps -1) (+ eps -1)) (*.f64 eps eps)))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 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 (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 x (.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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (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) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) 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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (.f64 (.f64 x (.f64 eps eps)) (fma.f64 x x (/.f64 #s(literal 0 binary64) (.f64 eps eps)))) (+.f64 x (/.f64 #s(literal 0 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 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x (neg.f64 x))) (*.f64 #s(literal -1/2 binary64) (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))) (neg.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) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 (.f64 x eps) x (.f64 x (-.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (-.f64 x x) (.f64 eps (*.f64 x x))))) (fma.f64 x (+.f64 #s(literal -1 binary64) (-.f64 x x)) x)) (/.f64 #s(literal 1 binary64) 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) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 x (+.f64 x (neg.f64 x)) (.f64 eps (.f64 x x))))) (+.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 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) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64)))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) 1/2) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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(approx (neg ( (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))) (/.f64 (*.f64 x #s(literal -1/2 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 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) #s(approx ( (+ -1 (/ 1 eps)) 1/2) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
#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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))) (fma.f64 eps eps (+.f64 eps #s(literal 1 binary64))))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) (.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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
#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) (neg x))) (exp (* x (- -1 eps))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x))) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1/6 binary64) (.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 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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)) #s(approx ( (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps eps)))) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
#s(approx (/ (- (* (+ 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) (neg 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 (fma.f64 x eps (neg.f64 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) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.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 (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)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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)))
#s(approx (/ (- (* (+ 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(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(approx (exp ( x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (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))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 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))

Outputs

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

Calls

4 calls:

180.0ms	x
69.0ms	eps
17.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
13.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.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)

regimes84.0ms (0.6%)

Memory

20.1MiB live, 100.3MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	(/.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))
18.0ms	x
15.0ms	eps
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
85.1%	3	`x`
95.7%	2	`eps`
96.4%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
96.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes29.0ms (0.2%)

Memory

-11.3MiB live, 63.9MiB allocated

Counts

48 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms

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

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
95.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
95.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes55.0ms (0.4%)

Memory

-4.4MiB live, 83.3MiB allocated

Counts

41 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

18.0ms	eps
12.0ms	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))
9.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
82.1%	3	`x`
75.2%	1	`eps`
77.9%	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))`
77.9%	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)

regimes12.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB 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) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) #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) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x #s(approx (+ (+ eps (- -1 eps)) -1) #s(literal -2 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* x (+ 1 (+ -1 (+ x (neg x))))) (* (* x eps) (* -1/2 (+ x x)))) eps) (*.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (.f64 (.f64 x x) (fma.f64 eps eps #s(literal -1 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #s(literal -1 binary64)))) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 (.f64 eps eps) (*.f64 x (+.f64 x (/.f64 (+.f64 x (neg.f64 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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x #s(approx (+ 1 (+ -1 (+ x (neg x)))) #s(literal 0 binary64)) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x x)))) eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (fma.f64 (.f64 x eps) (.f64 x eps) (.f64 (/.f64 #s(literal 0 binary64) eps) (.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.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 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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)) #s(approx ( (+ eps -1) (+ eps -1)) (*.f64 eps eps)))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))) (.f64 (.f64 x eps) (*.f64 #s(literal -1/2 binary64) (+.f64 x 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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 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 (+ ( x eps) (neg x))) (exp (* x (- -1 eps)))) (fma.f64 x (fma.f64 x (.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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (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) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) 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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) 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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (.f64 (.f64 x (.f64 eps eps)) (fma.f64 x x (/.f64 #s(literal 0 binary64) (.f64 eps eps)))) (+.f64 x (/.f64 #s(literal 0 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 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 (fma.f64 eps (fma.f64 eps (fma.f64 x eps (+.f64 x (neg.f64 x))) (*.f64 #s(literal -1/2 binary64) (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #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 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x))) (neg.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) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64)))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
79.8%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

-24.1MiB live, 50.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

6.0ms

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

4.0ms

(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.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
75.4%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
75.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
77.6%	2	`x`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes21.0ms (0.1%)

Memory

15.2MiB live, 52.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(-.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)))))
5.0ms	x
5.0ms	eps
4.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.4%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
75.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
72.3%	1	`eps`
72.3%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes14.0ms (0.1%)

Memory

-18.2MiB live, 22.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms

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

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
75.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
75.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes12.0ms (0.1%)

Memory

36.1MiB live, 36.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.2%	1	`eps`
69.2%	1	`x`
69.2%	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))`
69.2%	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)

regimes14.0ms (0.1%)

Memory

-1.4MiB live, 33.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	eps
3.0ms	x
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
55.2%	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))`
55.2%	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)))))`
55.2%	1	`x`
55.2%	1	`eps`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes10.0ms (0.1%)

Memory

-15.1MiB live, 22.4MiB allocated

Accuracy

Total -0.4b remaining (-1%)

Threshold costs -0.4b (-1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.1%	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))`
38.1%	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)))))`
38.1%	1	`eps`
38.1%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000280993663	2.0000004928537694

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000280993663	2.0000004928537694

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch126.0ms (0.9%)

Memory

18.4MiB live, 180.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	29.80648430535769	28885.78004380225
56.0ms	2.956450117547221e-156	7.171121415836291e-145

Samples

65.0ms	202×	0	valid
41.0ms	86×	1	valid

Compiler

Compiled 1 290 to 702 computations (45.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-exp: 61.0ms (62.5% of total)

ival-mult: 13.0ms (13.3% of total)

adjust: 6.0ms (6.2% of total)

ival-sub: 5.0ms (5.1% of total)

ival-div: 5.0ms (5.1% of total)

ival-add: 4.0ms (4.1% of total)

ival-neg: 3.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Memory

-2.1MiB live, 36.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	357981683164928.5	2505477137702410.0

Samples

10.0ms

96×

valid

Compiler

Compiled 292 to 180 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 2.0ms (25% of total)

ival-div: 1.0ms (12.5% of total)

ival-exp: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

ival-sub: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Memory

-18.5MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	357981683164928.5	2505477137702410.0

Samples

30.0ms

64×

valid

Compiler

Compiled 232 to 144 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (18.8% of total)

ival-exp: 1.0ms (18.8% of total)

ival-add: 1.0ms (18.8% of total)

ival-mult: 1.0ms (18.8% of total)

ival-sub: 1.0ms (18.8% of total)

ival-neg: 1.0ms (18.8% 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000280993663	2.0000004928537694

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000280993663	2.0000004928537694

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify60.0ms (0.4%)

Memory

2.6MiB live, 80.2MiB allocated

Algorithm

1×	egg-herbie

Rules

490×	`distribute-lft-neg-in_binary64`
262×	`neg-mul-1_binary64`
242×	`neg-sub0_binary64`
178×	`sub-neg_binary64`
176×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1532
1	288	1532
2	332	1524
3	384	1524
4	458	1524
5	607	1524
6	766	1524
7	907	1524
8	1050	1524
9	1196	1524
10	1334	1524
11	1444	1524
12	1513	1524
13	1535	1524

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) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x #s(approx (* (- -1 eps) 1/2) (.f64 eps #s(literal -1/2 binary64))))) (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) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 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 4503600528090421/2251799813685248 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(literal 2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #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 4503600528090421/2251799813685248 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) (neg x))) (exp (* x (- -1 eps))))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6658392415923931/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 (.f64 x eps) x (.f64 x (-.f64 x x))))) (+.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4200 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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 950000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 530000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #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) (fma.f64 (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x #s(approx (* (- -1 eps) 1/2) (.f64 eps #s(literal -1/2 binary64))))) (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) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (.f64 x #s(approx (* (- -1 eps) 1/2) (.f64 eps #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (.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 (fma.f64 x eps (neg.f64 x))) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
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(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.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 4503600528090421/2251799813685248 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) (neg 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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 6658392415923931/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (/.f64 (fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x x)) (.f64 eps (fma.f64 (.f64 x eps) x (.f64 x (-.f64 x x))))) (+.f64 x (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (neg.f64 x)))))) eps)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4200 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 (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (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 (fma.f64 eps eps #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) eps)) (+.f64 eps #s(literal 1 binary64))))) (fma.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))))
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(if (<=.f64 x #s(literal 950000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 950000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64))) eps))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 530000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 530000000000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (*.f64 x x) (fma.f64 eps eps #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 (.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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) #s(approx (/ (+ (* eps (+ (* x (* -1/2 (+ x x))) (* eps (+ (* x (+ x (neg x))) (* eps (* x x)))))) (+ x (* x (+ -1 (+ x (neg x)))))) eps) (/.f64 (.f64 eps (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (*.f64 x x))) 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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))))
(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 4503600528090421/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.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 #s(literal 1/2 binary64) #s(approx (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (* (+ (* (* 1/2 x) (+ -1 eps)) 1) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) (.f64 eps (.f64 eps (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (+ (* (exp (* x (/ (- -1 eps) 2))) (exp (* x (/ (- -1 eps) 2)))) (exp (- (* eps x) x)))) (fma.f64 x #s(approx (+ (* x (* 1/4 (+ (* (+ eps 1) (+ eps 1)) (* (+ eps -1) (+ eps -1))))) (+ (* (+ eps (- -1 eps)) 1/2) -1/2)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.7s (11.4%)

Memory

-56.5MiB live, 1 340.6MiB allocated

Rules

15 874×	`lower-fma.f64`
15 874×	`lower-fma.f32`
15 174×	`lower-fma.f64`
15 174×	`lower-fma.f32`
14 066×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	825	13037
1	2836	11702
0	9315	11177
0	855	13999
1	2947	12462
0	8317	11889
0	111	867
0	167	813
1	772	761
2	7304	761
0	8192	736
0	106	894
0	168	847
0	774	842
0	804	12914
1	2764	11202
0	9350	10697
0	63	600
0	107	600
1	450	569
2	4328	569
0	8266	552
0	329	3352
1	1070	3020
2	3651	2701
0	8251	2550

Stop Event

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

Compiler

Compiled 851 to 333 computations (60.9% saved)

preprocess142.0ms (1%)

Memory: 20.4MiB live, 290.3MiB allocated
Compiler: Compiled 1 110 to 322 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.2%)

sample2.8s (19.3%)

preprocess499.0ms (3.4%)

explain529.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify453.0ms (3.1%)

localize149.0ms (1%)

series22.0ms (0.1%)

simplify466.0ms (3.2%)

rewrite359.0ms (2.5%)

eval101.0ms (0.7%)

prune108.0ms (0.7%)

simplify428.0ms (2.9%)

localize651.0ms (4.4%)

series55.0ms (0.4%)

simplify522.0ms (3.6%)

rewrite361.0ms (2.5%)

eval259.0ms (1.8%)

prune198.0ms (1.4%)

simplify359.0ms (2.5%)

localize460.0ms (3.1%)

series45.0ms (0.3%)

simplify735.0ms (5%)

rewrite84.0ms (0.6%)

eval130.0ms (0.9%)

prune84.0ms (0.6%)

simplify421.0ms (2.9%)

localize349.0ms (2.4%)

series27.0ms (0.2%)

simplify514.0ms (3.5%)

rewrite348.0ms (2.4%)

eval178.0ms (1.2%)

prune181.0ms (1.2%)

regimes75.0ms (0.5%)

regimes284.0ms (1.9%)

regimes84.0ms (0.6%)

regimes29.0ms (0.2%)

regimes55.0ms (0.4%)

regimes12.0ms (0.1%)

regimes20.0ms (0.1%)

regimes21.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch126.0ms (0.9%)

bsearch49.0ms (0.3%)

bsearch35.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify60.0ms (0.4%)

soundness1.7s (11.4%)

preprocess142.0ms (1%)

end0.0ms (0%)

Profiling