Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze44.0ms (0.4%)

Memory

7.6MiB live, 38.1MiB allocated; 25ms collecting garbage

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)

sample2.9s (28%)

Memory

38.5MiB live, 3 311.7MiB allocated; 699ms collecting garbage

Samples

1.1s	2 381×	1	valid
978.0ms	5 875×	0	valid
157.0ms	974×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 549.0ms (28.7% of total)

ival-exp: 395.0ms (20.6% of total)

ival-sub: 284.0ms (14.8% of total)

ival-div: 234.0ms (12.2% of total)

adjust: 173.0ms (9% of total)

ival-add: 151.0ms (7.9% of total)

ival-neg: 107.0ms (5.6% of total)

exact: 10.0ms (0.5% of total)

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

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain521.0ms (5.1%)

Memory

-57.5MiB live, 463.3MiB allocated; 125ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
65	4	(4.129158201987578e-257 2.268544891376698e-12)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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	68	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	42
↳	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`	overflow	42
↳	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`	overflow	42
↳	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`	overflow	42
↳	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`	overflow	42
↳	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`	overflow	67
↳	`(.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	67
↳	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`	overflow	42

Confusion

	Predicted +	Predicted -
+	65	0
-	4	187

Precision

0.9420289855072463

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	4	0	187

Precision?

0.9420289855072463

Recall?

1.0

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	378×	0	valid
51.0ms	134×	1	valid

Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-exp: 18.0ms (24.4% of total)

ival-mult: 15.0ms (20.3% of total)

adjust: 10.0ms (13.6% of total)

ival-sub: 9.0ms (12.2% of total)

ival-div: 9.0ms (12.2% of total)

ival-add: 7.0ms (9.5% of total)

ival-neg: 5.0ms (6.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess442.0ms (4.3%)

Memory

14.7MiB live, 203.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	157
1	172	145
2	538	137
3	2367	135
0	19	29
0	34	29
1	72	29
2	181	27
3	727	27
4	3450	27
0	8073	26

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))

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

75.4%

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify207.0ms (2%)

Memory

34.5MiB live, 130.8MiB allocated; 16ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	34	141
1	72	141
2	181	135
3	727	135
4	3450	135
0	8073	129

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

localize74.0ms (0.7%)

Memory

12.2MiB live, 143.6MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	15.753793930348984	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

31.0ms	67×	1	valid
30.0ms	189×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 9.0ms (20.3% of total)

ival-exp: 9.0ms (20.3% of total)

ival-div: 8.0ms (18.1% of total)

ival-mult: 7.0ms (15.8% of total)

adjust: 5.0ms (11.3% of total)

ival-neg: 3.0ms (6.8% of total)

ival-add: 3.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-27.3MiB live, 33.5MiB allocated; 7ms collecting garbage

Counts

7 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x) (exp (neg (* (+ 1 eps) x))))
6.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x) (exp (neg (* (+ 1 eps) x))))
3.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x) (exp (neg (* (+ 1 eps) x))))
2.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x) (exp (neg (* (+ 1 eps) x))))
2.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x) (exp (neg (* (+ 1 eps) x))))

simplify200.0ms (2%)

Memory

12.6MiB live, 283.1MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	2111
1	1211	1882
2	5764	1862
0	8455	1754

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

Calls

Call 1

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

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

rewrite201.0ms (2%)

Memory

-11.2MiB live, 221.7MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	99
0	34	99
1	129	96
2	868	93
0	8685	85

Stop Event

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

Counts

7 → 453

Calls

Call 1

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

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

eval76.0ms (0.7%)

Memory: 12.7MiB live, 112.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 25 987 to 2 466 computations (90.5% saved)

prune16.0ms (0.2%)

Memory

-7.7MiB live, 38.9MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	501	9	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	9	511

Accuracy

100.0%

Counts

511 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	72.5%	(/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	30.5%	(/.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)))) #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))
	37.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	40.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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))
	41.9%	(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))) #s(literal 2 binary64))
	39.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) 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)))
▶	58.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
▶	39.1%	#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 854 to 536 computations (37.2% saved)

simplify130.0ms (1.3%)

Memory

22.6MiB live, 116.9MiB allocated; 12ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
cost-diff	2	(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	3	(fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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	1	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	1	(.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)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.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) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	587
0	101	586
1	171	564
2	377	536
3	1441	536
4	7578	536
0	9168	536

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

localize231.0ms (2.3%)

Memory

-30.6MiB live, 253.3MiB allocated; 112ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x)))
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	15.753793930348984	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
accuracy	21.04243574804836	#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
accuracy	0.00390625	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	15.753793930348984	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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	21.18067271352273	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	20.835271898159807	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.00390625	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	15.753793930348984	(-.f64 (.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) (exp.f64 (fma.f64 x eps x)))))
accuracy	17.43123015732585	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))

Samples

59.0ms	67×	1	valid
46.0ms	75×	0	exit
33.0ms	114×	0	valid

Compiler

Compiled 507 to 40 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-sub: 16.0ms (20.3% of total)

ival-exp: 15.0ms (19.1% of total)

ival-mult: 14.0ms (17.8% of total)

adjust: 10.0ms (12.7% of total)

ival-add: 9.0ms (11.4% of total)

ival-div: 8.0ms (10.2% of total)

ival-neg: 6.0ms (7.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series18.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

24 → 115

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) (- (+ 1 x) -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (exp (neg (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (exp x) (exp (neg x)))
3.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) (- (+ 1 x) -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (exp (neg (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (exp x) (exp (neg x)))
2.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) (- (+ 1 x) -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (exp (neg (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (exp x) (exp (neg x)))
2.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) (- (+ 1 x) -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (exp (neg (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (exp x) (exp (neg x)))
2.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) (- (+ 1 x) -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (exp (neg (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (+ (* (- -1 eps) x) 1) (exp x) (exp (neg x)))

simplify194.0ms (1.9%)

Memory

12.1MiB live, 238.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	2552
1	1675	2267
2	7230	2261
0	8096	2124

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

Calls

Call 1

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

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

rewrite259.0ms (2.5%)

Memory

-3.6MiB live, 296.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	439
0	101	439
1	334	408
2	2373	408
0	8245	398

Stop Event

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

Counts

24 → 386

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(fma.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x (neg.f64 (log.f64 eps)))))
(fma.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (pow.f64 (*.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (pow.f64 (.f64 eps (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (exp.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x (neg.f64 (log.f64 eps)))) (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x (neg.f64 (log.f64 eps)))))
(+.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
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(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(+.f64 (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))) (.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (neg.f64 (fma.f64 x eps x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (sinh.f64 (neg.f64 (fma.f64 x eps x))) (cosh.f64 (fma.f64 x eps x)))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) eps) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))
(fma.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) eps)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) eps) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))

eval99.0ms (1%)

Memory: -0.8MiB live, 148.8MiB allocated; 24ms collecting garbage
Compiler: Compiled 31 234 to 2 748 computations (91.2% saved)

prune28.0ms (0.3%)

Memory

3.5MiB live, 49.1MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	583	12	595
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	590	14	604

Accuracy

100.0%

Counts

604 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.5%	(/.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)))) #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))
	22.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	34.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	33.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	72.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	23.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	37.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	33.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #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))
	58.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
	38.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	49.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	38.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	21.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x))))
✓	39.1%	#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 1 229 to 815 computations (33.7% saved)

simplify139.0ms (1.4%)

Memory

-25.2MiB live, 207.7MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	664
0	91	664
1	172	645
2	421	613
3	1534	613
4	7660	613
0	9304	613

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

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

localize187.0ms (1.8%)

Memory

17.4MiB live, 260.1MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(exp.f64 (fma.f64 x eps x))
accuracy	15.753793930348984	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	17.43123015732585	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	18.46350074437629	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x (exp.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x))))
accuracy	27.868792519399264	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x)))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	15.753793930348984	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	21.18067271352273	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	21.18398069205765	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	16.23257627125619	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.00390625	(exp.f64 (fma.f64 x eps x))
accuracy	0.00390625	(exp.f64 (-.f64 (*.f64 x eps) x))
accuracy	15.753793930348984	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	17.43123015732585	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))

Samples

61.0ms	114×	0	valid
50.0ms	67×	1	valid
46.0ms	75×	0	exit

Compiler

Compiled 476 to 46 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 43.0ms (42.1% of total)

ival-exp: 16.0ms (15.7% of total)

adjust: 12.0ms (11.8% of total)

ival-add: 10.0ms (9.8% of total)

ival-sub: 8.0ms (7.8% of total)

ival-div: 8.0ms (7.8% of total)

ival-neg: 4.0ms (3.9% of total)

exact: 1.0ms (1% of total)

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

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

series14.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

24 → 93

Calls

Call 1

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

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

Calls

6 calls:

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

simplify212.0ms (2.1%)

Memory

-20.3MiB live, 159.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	2343
1	1502	2128
2	6772	2119
0	8015	1962

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 92

Calls

Call 1

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

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

rewrite263.0ms (2.6%)

Memory

-4.6MiB live, 201.4MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	549
0	91	549
1	354	526
2	2669	526
0	8786	509

Stop Event

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

Counts

24 → 256

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (neg.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
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(/.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(fma.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64)) (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64))))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (pow.f64 eps #s(literal -1 binary64)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (.f64 (pow.f64 eps #s(literal -1 binary64)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (pow.f64 eps #s(literal -1 binary64)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64))) (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (+.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 x (.f64 x eps)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)))) (-.f64 (*.f64 x eps) x))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (*.f64 x eps) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (-.f64 (*.f64 x eps) x))))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (fma.f64 x eps x))) (exp.f64 (/.f64 (.f64 x x) (fma.f64 x eps x))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (.f64 x eps) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (-.f64 (.f64 x eps) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (-.f64 (.f64 x eps) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (-.f64 (.f64 x eps) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (-.f64 (.f64 x eps) x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (-.f64 (.f64 x eps) x)) (sinh.f64 (-.f64 (*.f64 x eps) x))))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (exp.f64 x)))
(/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (-.f64 (*.f64 x eps) x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+.f64 (sinh.f64 (-.f64 (.f64 x eps) x)) (cosh.f64 (-.f64 (.f64 x eps) x)))
(+.f64 (cosh.f64 (-.f64 (.f64 x eps) x)) (sinh.f64 (-.f64 (.f64 x eps) x)))
(.f64 (exp.f64 (/.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 x eps)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 x eps)) (pow.f64 (.f64 x eps) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (exp.f64 x) (pow.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)))) (fma.f64 x eps x))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (fma.f64 x eps x) (pow.f64 (.f64 x eps) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) x)
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x eps x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x eps x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x eps x))) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (-.f64 (.f64 x eps) x))) (exp.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x eps) x))))
(/.f64 (pow.f64 (exp.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))))))
(/.f64 (exp.f64 x) (exp.f64 (*.f64 (neg.f64 x) eps)))
(/.f64 (exp.f64 x) (exp.f64 (*.f64 (neg.f64 eps) x)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (exp.f64 x) eps) (cosh.f64 x) (*.f64 (pow.f64 (exp.f64 x) eps) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (pow.f64 (exp.f64 x) eps) (*.f64 (sinh.f64 x) (pow.f64 (exp.f64 x) eps)))
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 eps #s(literal 1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(+.f64 (.f64 (cosh.f64 x) (pow.f64 (exp.f64 x) eps)) (.f64 (sinh.f64 x) (pow.f64 (exp.f64 x) eps)))
(+.f64 (.f64 (pow.f64 (exp.f64 x) eps) (cosh.f64 x)) (.f64 (pow.f64 (exp.f64 x) eps) (sinh.f64 x)))
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (neg.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x)))
(+.f64 (sinh.f64 (fma.f64 x eps x)) (cosh.f64 (fma.f64 x eps x)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (expm1.f64 (neg.f64 (log.f64 eps))))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))

eval107.0ms (1%)

Memory: 10.2MiB live, 116.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 23 743 to 1 779 computations (92.5% saved)

prune48.0ms (0.5%)

Memory

-17.5MiB live, 29.3MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	376	11	387
Fresh	3	5	8
Picked	1	4	5
Done	0	1	1
Total	380	21	401

Accuracy

100.0%

Counts

401 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	18.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
	20.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #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))
✓	72.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	30.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #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))
▶	23.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	37.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	33.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #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))
▶	58.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
	49.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	38.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	21.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) x))))
✓	21.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x))))
	14.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
▶	13.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	3.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
	2.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
	13.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
▶	2.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
	17.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
✓	39.1%	#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 1 906 to 1 240 computations (34.9% saved)

simplify136.0ms (1.3%)

Memory

3.6MiB live, 98.0MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) x)
cost-diff	0	#s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
cost-diff	0	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
cost-diff	0	(+.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
cost-diff	3	(fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	630
0	100	630
1	179	608
2	426	572
3	1524	572
4	7909	572
0	8005	572

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

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

localize177.0ms (1.7%)

Memory

15.8MiB live, 153.2MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
accuracy	15.753793930348984	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	17.43123015732585	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	21.18067271352273	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) eps) eps)
accuracy	15.753793930348984	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
accuracy	21.04243574804836	#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
accuracy	21.18067271352273	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
accuracy	0.0	(/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
accuracy	6.6834802787332	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
accuracy	27.868792519399264	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
accuracy	16.320252990465313	#s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
accuracy	27.868792519399264	#s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))
accuracy	8.21438737700108	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))

Samples

68.0ms	67×	1	valid
41.0ms	75×	0	exit
34.0ms	114×	0	valid

Compiler

Compiled 435 to 50 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 37.0ms (31.4% of total)

ival-exp: 31.0ms (26.3% of total)

adjust: 13.0ms (11% of total)

ival-add: 13.0ms (11% of total)

ival-div: 12.0ms (10.2% of total)

ival-sub: 8.0ms (6.8% of total)

ival-neg: 4.0ms (3.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series12.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

22 → 98

Calls

Call 1

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

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

Calls

6 calls:

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

simplify174.0ms (1.7%)

Memory

-2.6MiB live, 97.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	408	2351
1	1468	2089
2	6490	2068
0	8285	1943

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

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

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (+.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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (+.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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
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(- (+ (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))))))
(-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (*.f64 eps eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 eps (exp.f64 x)) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) eps (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)) eps (.f64 (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) eps (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 eps) eps)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(fma.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(fma.f64 (fma.f64 (.f64 (.f64 eps x) x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) eps (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (.f64 (*.f64 (/.f64 x (exp.f64 x)) x) #s(literal 1/2 binary64))) eps (/.f64 (neg.f64 x) (exp.f64 x))) eps (exp.f64 (neg.f64 x)))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (neg.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 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)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) eps (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 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)))) (+ (* 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 (fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) eps (.f64 (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) eps (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(-.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps))
(exp (neg (* x (- 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps) #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(exp (neg (* x (- 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))

rewrite298.0ms (2.9%)

Memory

-10.7MiB live, 269.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	509
0	100	509
1	376	480
2	2834	480
0	8433	472

Stop Event

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

Counts

22 → 282

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 x (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (fma.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) (.f64 (+.f64 x #s(literal 0 binary64)) (neg.f64 (neg.f64 x)))) (.f64 (+.f64 x #s(literal 0 binary64)) (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (fma.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x)) (.f64 (+.f64 x #s(literal 0 binary64)) (neg.f64 x))) (.f64 (+.f64 x #s(literal 0 binary64)) (neg.f64 (exp.f64 x))))
(/.f64 (fma.f64 (.f64 (expm1.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (exp.f64 x) (.f64 (+.f64 x #s(literal 0 binary64)) x)) (.f64 (+.f64 x #s(literal 0 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (neg.f64 (exp.f64 x))) (.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x)))) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x)) (.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 x))) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (exp.f64 x))))
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(/.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))) (.f64 (+.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 3 binary64))) (.f64 (fma.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x))))) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (/.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (/.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64)) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)))))
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (neg.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x))))

eval78.0ms (0.8%)

Memory: -24.8MiB live, 79.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 24 461 to 1 981 computations (91.9% saved)

prune27.0ms (0.3%)

Memory

5.4MiB live, 52.5MiB allocated; 1ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	396	4	400
Fresh	1	10	11
Picked	1	4	5
Done	0	5	5
Total	398	23	421

Accuracy

100.0%

Counts

421 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	18.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
	20.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #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))
✓	72.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	30.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #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))
✓	23.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	33.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #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))
	14.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (+ 1 eps) eps) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	29.4%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (+ 1 eps) eps) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
✓	58.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64)))
	49.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (+ x 2) (exp (neg x))) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	38.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	21.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) x))))
✓	21.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x))))
	14.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
✓	13.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))))
	3.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (+.f64 x #s(literal 1 binary64))))))
	2.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
	13.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))
✓	2.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
	1.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) #s(approx (* (- 1 x) x) (*.f64 (neg.f64 x) x)))))
	17.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (+ (* -1/2 (* x x)) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
✓	39.1%	#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 3 018 to 1 016 computations (66.3% saved)

regimes40.0ms (0.4%)

Memory

19.0MiB live, 64.4MiB allocated; 3ms collecting garbage

Counts

37 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	x
10.0ms	eps
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
99.6%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
99.6%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
87.9%	3	`x`
100.0%	3	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes35.0ms (0.3%)

Memory

-3.2MiB live, 49.3MiB allocated; 4ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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)))))
9.0ms	eps
8.0ms	x
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
71.2%	3	`x`
83.6%	3	`eps`
83.8%	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)))))`
83.8%	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))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes51.0ms (0.5%)

Memory

3.5MiB live, 50.6MiB allocated; 2ms collecting garbage

Counts

31 → 4

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
8.0ms	eps
8.0ms	x
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))

Results

Accuracy	Segments	Branch
70.9%	4	`x`
67.4%	4	`eps`
64.4%	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)))))`
64.4%	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))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes41.0ms (0.4%)

Memory

-31.7MiB live, 15.1MiB allocated; 2ms collecting garbage

Counts

24 → 4

Calls

Call 1

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

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

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
70.5%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

22 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
70.4%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes48.0ms (0.5%)

Memory

-3.5MiB live, 43.2MiB allocated; 3ms collecting garbage

Counts

21 → 4

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(-.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)))))
6.0ms	x
6.0ms	eps
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
56.9%	4	`eps`
49.2%	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)))))`
49.2%	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))`
66.4%	4	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

20 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
65.3%	4	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
59.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
49.2%	1	`eps`
54.6%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes28.0ms (0.3%)

Memory

-43.7MiB live, 7.1MiB allocated; 4ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
54.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
49.2%	1	`eps`
49.2%	1	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

2.0ms	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
49.5%	2	`x`
49.1%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
49.1%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
41.8%	2	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Accuracy

Total -24.0b remaining (-61.6%)

Threshold costs -24b (-61.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.1%	1	`eps`
39.1%	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)))))`
39.1%	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))`
39.1%	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000000000081124

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0001614698791046	1.314787319663775

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch210.0ms (2.1%)

Memory

-1.5MiB live, 137.7MiB allocated; 7ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	5.050322832226045e+242	1.4944660064796878e+244
86.0ms	3.6408424471016286e-7	16.580631872553706
101.0ms	-16127710.399459388	-8.975364481463304e-5

Samples

135.0ms	140×	1	valid
46.0ms	244×	0	valid

Compiler

Compiled 2 489 to 1 714 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

adjust: 57.0ms (33.8% of total)

ival-sub: 47.0ms (27.9% of total)

ival-mult: 31.0ms (18.4% of total)

ival-exp: 15.0ms (8.9% of total)

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

ival-add: 5.0ms (3% of total)

ival-neg: 4.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch183.0ms (1.8%)

Memory

-31.5MiB live, 156.9MiB allocated; 22ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.050322832226045e+242	1.4944660064796878e+244
2.0ms	3.6408424471016286e-7	16.580631872553706
151.0ms	-1574569264586745.8	-16127710.399459388

Samples

126.0ms	52×	1	valid
13.0ms	92×	0	valid
3.0ms	28×	0	exit

Compiler

Compiled 2 523 to 1 731 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-exp: 92.0ms (67.7% of total)

ival-mult: 27.0ms (19.9% of total)

ival-div: 6.0ms (4.4% of total)

adjust: 4.0ms (2.9% of total)

ival-sub: 3.0ms (2.2% of total)

ival-neg: 2.0ms (1.5% of total)

ival-add: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.050322832226045e+242	1.4944660064796878e+244
2.0ms	3.6408424471016286e-7	16.580631872553706
2.0ms	-1574569264586745.8	-16127710.399459388

Compiler

Compiled 2 559 to 1 740 computations (32% saved)

bsearch116.0ms (1.1%)

Memory

-9.5MiB live, 90.9MiB allocated; 9ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	5.050322832226045e+242	1.4944660064796878e+244
2.0ms	3.6408424471016286e-7	16.580631872553706
75.0ms	-16127710.399459388	-8.975364481463304e-5

Samples

36.0ms	75×	1	valid
8.0ms	69×	0	valid

Compiler

Compiled 2 599 to 1 764 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-exp: 17.0ms (44.2% of total)

adjust: 5.0ms (13% of total)

ival-mult: 5.0ms (13% of total)

ival-sub: 3.0ms (7.8% of total)

ival-div: 3.0ms (7.8% of total)

ival-neg: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch110.0ms (1.1%)

Memory

18.1MiB live, 111.7MiB allocated; 6ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
57.0ms	3.0982990154341746e+252	2.8009714050076022e+253
45.0ms	16.580631872553706	3706644626.323176
2.0ms	-16127710.399459388	-8.975364481463304e-5

Samples

64.0ms	196×	0	valid
13.0ms	41×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 2 562 to 1 704 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-exp: 48.0ms (67.8% of total)

ival-mult: 6.0ms (8.5% of total)

ival-sub: 4.0ms (5.7% of total)

ival-div: 4.0ms (5.7% of total)

adjust: 3.0ms (4.2% of total)

ival-add: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0982990154341746e+252	2.8009714050076022e+253
1.0ms	16.580631872553706	3706644626.323176

Compiler

Compiled 1 298 to 852 computations (34.4% saved)

bsearch4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
0.0ms	3.0982990154341746e+252	2.8009714050076022e+253
3.0ms	2.434729594383781e+142	4.397606580981847e+144

Samples

2.0ms

16×

valid

Compiler

Compiled 399 to 267 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch66.0ms (0.6%)

Memory

11.6MiB live, 63.7MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.0982990154341746e+252	2.8009714050076022e+253
62.0ms	2.0066514753467222e+157	1.560361056764044e+167

Samples

17.0ms

160×

valid

Compiler

Compiled 1 434 to 972 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 3.0ms (23.3% of total)

ival-div: 2.0ms (15.5% of total)

ival-exp: 2.0ms (15.5% of total)

ival-add: 2.0ms (15.5% of total)

ival-sub: 2.0ms (15.5% of total)

ival-neg: 1.0ms (7.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory

-10.9MiB live, 80.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.5005021599714094e+114	1.3392181376419679e+126

Samples

20.0ms

160×

valid

Compiler

Compiled 962 to 644 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 4.0ms (24.7% of total)

ival-exp: 3.0ms (18.6% of total)

ival-mult: 3.0ms (18.6% of total)

ival-div: 2.0ms (12.4% of total)

ival-add: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify99.0ms (1%)

Memory

-7.5MiB live, 120.4MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2054
1	267	2054
2	462	1887
3	1380	1887
4	6724	1887

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(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(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(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(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.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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(if (<=.f64 x #s(literal -16500000 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (+ 1 eps) eps) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4000000000000000298602302599326783098531181200478462372652137600480461828543196945168597813229997312297916125280519768765870371338297363305343858054026360264603154554996475341672148078108891547779924962077938586264586890235956338433341557571584 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal -195 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (+ 1 eps) eps) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4000000000000000298602302599326783098531181200478462372652137600480461828543196945168597813229997312297916125280519768765870371338297363305343858054026360264603154554996475341672148078108891547779924962077938586264586890235956338433341557571584 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x (exp.f64 x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal -195 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (+ 1 eps) eps) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 370 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 3599999999999999868567337645101820728079833603568651246204869397458372203403532507113883543895520925750402170693794605088491601308007893961832257447655338921050517515794539137873425333627762013223877839397776987145575423538794294062993536045079251124224 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #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) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))))
(if (<=.f64 x #s(literal 350 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3599999999999999868567337645101820728079833603568651246204869397458372203403532507113883543895520925750402170693794605088491601308007893961832257447655338921050517515794539137873425333627762013223877839397776987145575423538794294062993536045079251124224 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #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) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 40000000000000002032891393611987518819164357794039359153796832115487846857649409080313553490215840765163841149783127337325178308593873508630528 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
(if (<=.f64 x #s(literal 48999999999999996916286996081420563316858666052811003718371766503144441583478564402273351424620830045771777607028627095543990497981679235313121780967281568816994189312 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3550000000000000055235927259607292736152114959069768088462685560529459923134882746590698134198418439250532297080832 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(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(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x))) (.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 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 (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) #s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (.f64 x eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
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(if (<=.f64 x #s(literal 40000000000000002032891393611987518819164357794039359153796832115487846857649409080313553490215840765163841149783127337325178308593873508630528 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (/.f64 x #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 3550000000000000055235927259607292736152114959069768088462685560529459923134882746590698134198418439250532297080832 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (* (exp (neg x)) (- (+ 1 x) -1)) (/ x (exp x))) 1/2) #s(approx (/ x (exp x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

derivations1.5s (14.7%)

Memory

-64.4MiB live, 711.1MiB allocated; 995ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	439
0	101	439
1	334	408
2	2373	408
0	8245	398
0	418	2343
1	1502	2128
2	6772	2119
0	8015	1962
0	330	2111
1	1211	1882
2	5764	1862
0	8455	1754
0	408	2351
1	1468	2089
2	6490	2068
0	8285	1943
0	458	2552
1	1675	2267
2	7230	2261
0	8096	2124

Stop Event

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

Compiler

Compiled 2 048 to 173 computations (91.6% saved)

preprocess99.0ms (1%)

Memory: -16.2MiB live, 125.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 154 to 384 computations (90.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze44.0ms (0.4%)

sample2.9s (28%)

explain521.0ms (5.1%)

preprocess442.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify207.0ms (2%)

localize74.0ms (0.7%)

series23.0ms (0.2%)

simplify200.0ms (2%)

rewrite201.0ms (2%)

eval76.0ms (0.7%)

prune16.0ms (0.2%)

simplify130.0ms (1.3%)

localize231.0ms (2.3%)

series18.0ms (0.2%)

simplify194.0ms (1.9%)

rewrite259.0ms (2.5%)

eval99.0ms (1%)

prune28.0ms (0.3%)

simplify139.0ms (1.4%)

localize187.0ms (1.8%)

series14.0ms (0.1%)

simplify212.0ms (2.1%)

rewrite263.0ms (2.6%)

eval107.0ms (1%)

prune48.0ms (0.5%)

simplify136.0ms (1.3%)

localize177.0ms (1.7%)

series12.0ms (0.1%)

simplify174.0ms (1.7%)

rewrite298.0ms (2.9%)

eval78.0ms (0.8%)

prune27.0ms (0.3%)

regimes40.0ms (0.4%)

regimes35.0ms (0.3%)

regimes51.0ms (0.5%)

regimes41.0ms (0.4%)

regimes8.0ms (0.1%)

regimes48.0ms (0.5%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch210.0ms (2.1%)

bsearch183.0ms (1.8%)

bsearch5.0ms (0.1%)

bsearch116.0ms (1.1%)

bsearch110.0ms (1.1%)

bsearch3.0ms (0%)

bsearch4.0ms (0%)

bsearch66.0ms (0.6%)

bsearch31.0ms (0.3%)

simplify99.0ms (1%)

derivations1.5s (14.7%)

preprocess99.0ms (1%)

end0.0ms (0%)

Profiling