Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze61.0ms (0.4%)

Memory

-9.4MiB live, 39.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (19.1%)

Memory

41.8MiB live, 3 482.5MiB allocated

Samples

958.0ms	2 256×	1	valid
794.0ms	5 999×	0	valid
207.0ms	982×	0	exit
3.0ms	16×	1	exit
0.0ms	1×	2	valid

Precisions

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

ival-exp: 463.0ms (29.2% of total)

ival-mult: 337.0ms (21.3% of total)

ival-div: 248.0ms (15.6% of total)

ival-sub: 197.0ms (12.4% of total)

ival-neg: 118.0ms (7.4% of total)

ival-add: 115.0ms (7.3% of total)

adjust: 85.0ms (5.4% of total)

exact: 10.0ms (0.6% of total)

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

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

Bogosity

explain579.0ms (4.2%)

Memory

-12.5MiB live, 626.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
65	4	(2.180385962300306e+283 -1.12783625932211e-308)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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	1	(2.180385962300306e+283 -1.12783625932211e-308)	-	`(-.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	69	0
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`	cancellation	1	0

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	68
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms	378×	0	valid
45.0ms	134×	1	valid

Compiler

Compiled 597 to 186 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 45.0ms (42.4% of total)

ival-exp: 16.0ms (15.1% of total)

ival-mult: 14.0ms (13.2% of total)

ival-sub: 9.0ms (8.5% of total)

ival-div: 9.0ms (8.5% of total)

adjust: 5.0ms (4.7% of total)

ival-neg: 5.0ms (4.7% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess212.0ms (1.5%)

Memory

-6.8MiB live, 143.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs eps)

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

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)

simplify197.0ms (1.4%)

Memory

23.6MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	5888	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (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	70	141
2	169	131
3	513	131
4	1130	131
5	3343	129
6	7591	129
0	8123	123

Stop Event

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

Calls

Call 1

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

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

localize407.0ms (2.9%)

Memory

9.2MiB live, 155.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.0078125	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.010966230164287516	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.751257510032643	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

327.0ms	67×	1	valid
66.0ms	189×	0	valid

Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-mult: 156.0ms (46.3% of total)

ival-exp: 100.0ms (29.7% of total)

ival-add: 66.0ms (19.6% of total)

ival-div: 5.0ms (1.5% of total)

ival-sub: 4.0ms (1.2% of total)

adjust: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.5%)

Memory

-50.5MiB live, 51.8MiB allocated

Counts

7 → 73

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	eps	@	-inf	((* (- (/ 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))))) (neg (* (- 1 eps) x)) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (+ 1 eps) x))
19.0ms	x	@	0	((* (- (/ 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))))) (neg (* (- 1 eps) x)) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (+ 1 eps) x))
5.0ms	eps	@	0	((* (- (/ 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))))) (neg (* (- 1 eps) x)) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (+ 1 eps) x))
3.0ms	x	@	inf	((* (- (/ 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))))) (neg (* (- 1 eps) x)) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (+ 1 eps) x))
2.0ms	x	@	-inf	((* (- (/ 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))))) (neg (* (- 1 eps) x)) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (+ 1 eps) x))

simplify192.0ms (1.4%)

Memory

49.6MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	1976
1	1030	1756
2	3505	1560
0	8233	1458

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

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

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

rewrite220.0ms (1.6%)

Memory

-32.0MiB live, 323.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	34	94
1	131	89
2	932	86
0	8932	78

Stop Event

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

Counts

7 → 486

Calls

Call 1

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

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

eval136.0ms (1%)

Memory: 19.8MiB live, 235.1MiB allocated
Compiler: Compiled 26 002 to 2 546 computations (90.2% saved)

prune18.0ms (0.1%)

Memory

-0.2MiB live, 41.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	530	10	540
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	10	541

Accuracy

100.0%

Counts

541 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x) (-.f64 #s(literal -1 binary64) eps)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
	37.4%	(/.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)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	74.2%	(/.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)))) #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))
	36.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #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))
	57.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	39.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	43.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
▶	43.6%	#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 728 to 478 computations (34.3% saved)

simplify164.0ms (1.2%)

Memory

3.3MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	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))))
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	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(/.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	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	5888	(.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(literal 1 binary64) 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) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
cost-diff	512	(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) 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) #s(literal 1 binary64))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
cost-diff	192	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
cost-diff	5888	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	559
0	96	554
1	161	538
2	334	509
3	749	509
4	1817	509
5	5515	501
0	8359	493

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

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

localize181.0ms (1.3%)

Memory

-3.1MiB live, 321.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
accuracy	15.751257510032643	(-.f64 (.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	17.243570584178002	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.010966230164287516	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.751257510032643	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	18.17938490254057	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
accuracy	0	(exp.f64 x)
accuracy	0.010097509768442016	(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
accuracy	11.499463196662967	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
accuracy	23.26738712697642	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy	0.0078125	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.751257510032643	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))

Samples

54.0ms	67×	1	valid
46.0ms	136×	0	valid
18.0ms	53×	0	exit

Compiler

Compiled 1 064 to 100 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-exp: 17.0ms (19.4% of total)

ival-mult: 14.0ms (16% of total)

ival-pow: 14.0ms (16% of total)

ival-div: 13.0ms (14.9% of total)

ival-add: 12.0ms (13.7% of total)

ival-sub: 9.0ms (10.3% of total)

adjust: 5.0ms (5.7% of total)

ival-neg: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series33.0ms (0.2%)

Memory

-28.1MiB live, 49.8MiB allocated

Counts

24 → 144

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp 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))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (- (/ 1 eps) 1) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
5.0ms	eps	@	0	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp 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))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (- (/ 1 eps) 1) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
4.0ms	x	@	-inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp 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))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (- (/ 1 eps) 1) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
4.0ms	eps	@	inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp 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))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (- (/ 1 eps) 1) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
3.0ms	x	@	0	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp 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))))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (- (/ 1 eps) 1) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))

simplify158.0ms (1.1%)

Memory

29.4MiB live, 222.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	583	3469
1	2002	2972
2	5956	2886
0	8321	2700

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite294.0ms (2.1%)

Memory

-17.5MiB live, 222.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	413
0	96	409
1	329	373
2	2366	373
0	8470	360

Stop Event

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

Counts

24 → 995

Calls

Call 1

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

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

eval189.0ms (1.4%)

Memory: 3.3MiB live, 231.7MiB allocated
Compiler: Compiled 57 451 to 4 381 computations (92.4% saved)

prune191.0ms (1.4%)

Memory

-14.0MiB live, 75.8MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 086	15	1 101
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	1 094	17	1 111

Accuracy

100.0%

Counts

1 111 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x) (-.f64 #s(literal -1 binary64) eps)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	74.2%	(/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	36.3%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64))))) #s(literal 2 binary64))
▶	35.7%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
▶	75.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
	74.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.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))))) #s(literal 2 binary64))
	38.1%	(/.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) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	38.4%	(/.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 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	43.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)))
▶	20.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) #s(literal 0 binary64))
	50.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))))
	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))))
	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
	43.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.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))))
	51.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	43.6%	#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 1 379 to 917 computations (33.5% saved)

simplify155.0ms (1.1%)

Memory

28.5MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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)))) (neg.f64 (exp.f64 (neg.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)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	5696	(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
cost-diff	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))))
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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))))
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	320	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)))
cost-diff	512	(*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
cost-diff	704	(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))
cost-diff	2368	(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))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) #s(literal 0 binary64))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
cost-diff	192	(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
cost-diff	320	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
cost-diff	5888	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	642
0	102	602
1	188	589
2	462	563
3	1457	548
4	6096	537
0	8505	533

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

localize527.0ms (3.8%)

Memory

13.1MiB live, 250.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.010966230164287516	(exp.f64 (neg.f64 (fma.f64 x eps x)))
accuracy	15.751257510032643	(-.f64 (.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)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
accuracy	17.243570584178002	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
accuracy	0.0078125	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.751257510032643	(-.f64 (.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))))
accuracy	17.243570584178002	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))
accuracy	23.936077642045863	#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	2.1784747070496477	(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))))
accuracy	23.26738712697642	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)))
accuracy	37.96033394373796	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) #s(literal 0 binary64))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))
accuracy	0.0078125	(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))
accuracy	15.751257510032643	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))

Samples

314.0ms	119×	1	valid
118.0ms	84×	2	valid
17.0ms	53×	0	exit

Compiler

Compiled 1 195 to 115 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 389.0ms

ival-exp: 241.0ms (61.9% of total)

adjust: 54.0ms (13.9% of total)

ival-mult: 40.0ms (10.3% of total)

ival-div: 14.0ms (3.6% of total)

ival-add: 13.0ms (3.3% of total)

ival-sub: 12.0ms (3.1% of total)

ival-pow: 9.0ms (2.3% of total)

ival-neg: 6.0ms (1.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series32.0ms (0.2%)

Memory

4.5MiB live, 42.7MiB allocated

Counts

24 → 141

Calls

Call 1

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

Outputs
(- (/ 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
(+ 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 (* 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)))))))
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 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* x (- 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
(- (* x (+ 1 eps)) 1)
(- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1)
(- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -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)))
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)
(* (exp (* -1 (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (+ x (* eps x)))) (- (/ 1 eps) 1))))
(exp (* -1 (+ x (* eps x))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* 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 (exp (neg (+ x (* eps x)))))
(exp (- (* eps x) x))
(/ -1 (exp (+ x (* eps x))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (neg (+ x (* eps x))))
(* (exp (* -1 (- (* eps x) (* -1 x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (- (* eps x) (* -1 x)))) (- (/ 1 eps) 1))))
(exp (* -1 (- (* eps x) (* -1 x))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (- (* eps x) (* -1 x)))) (- (/ 1 eps) 1)))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* -1 (* x (- 1 eps)))
(- (* (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 (exp (- (* -1 x) (* eps x))))
(exp (neg (* x (- 1 eps))))
(/ -1 (exp (- (* eps x) (* -1 x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (- (* -1 x) (* eps x)))
(/ (exp (* -1 x)) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) eps)
(* 1/2 (/ (- (exp (neg x)) (exp (* -1 x))) eps))
(/ (+ (* 1/2 (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (* 1/2 (- (exp (neg x)) (exp (* -1 x))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))))) (* 1/2 (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))))) eps)
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(/ (- (exp (neg x)) (exp (* -1 x))) eps)
(/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (exp (* -1 x))) eps)
(/ (- (+ (exp (neg x)) (* eps (- (+ (exp (neg x)) (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))) (* x (exp (neg x))))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (exp (* -1 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))))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x))))))) (* x (exp (neg x))))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))) (* x (exp (neg x))))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (exp (* -1 x))) eps)
0
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* -1 x)
(- (* eps x) 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 (exp (neg x)))
(- (* eps (* x (exp (neg x)))) (exp (neg x)))
(- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* 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)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x)))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(/ (+ 1 (* -1 eps)) eps)
(/ -1 (exp x))
(- (/ (* eps x) (exp x)) (/ 1 (exp x)))
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp 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)
(+ (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 (exp (* -1 (+ x (* eps x)))))
(+ (* -1 (exp (* -1 (+ x (* eps x))))) (/ (exp (* -1 (+ x (* eps x)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (+ x (* eps x)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (+ x (* eps x))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (+ x (* eps x))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (+ x (* eps x))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (* -1 (+ x (* eps x))))) (/ (exp (* -1 (+ x (* eps x)))) eps)))
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* 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)))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* -1 (+ x (* eps x)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* -1 (+ x (* eps x)))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* -1 (+ x (* eps x))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* -1 (+ x (* eps x))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* -1 (+ x (* eps x)))))) eps))) (* -1 (exp (* -1 (+ x (* eps x))))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(* -1 (* eps (- (/ x eps) x)))
(- (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
13.0ms	x	@	0	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* (- eps -1) (- (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (exp (neg (+ (* x 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 (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) 1) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (+ (* x eps) x))))
4.0ms	eps	@	-inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* (- eps -1) (- (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (exp (neg (+ (* x 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 (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) 1) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (+ (* x eps) x))))
4.0ms	eps	@	0	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* (- eps -1) (- (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (exp (neg (+ (* x 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 (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) 1) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (+ (* x eps) x))))
3.0ms	x	@	-inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* (- eps -1) (- (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (exp (neg (+ (* x 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 (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) 1) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (+ (* x eps) x))))
3.0ms	x	@	inf	((* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (pow (exp -1) (+ (* x eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* (- eps -1) (- (/ 1 eps) 1)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (neg (* (- 1 eps) x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (exp (neg (+ (* x 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 (* (- 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (- (/ 1 eps) 1) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (+ (* x eps) x))))

simplify251.0ms (1.8%)

Memory

-5.0MiB live, 197.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	3535
1	1984	3087
2	6019	3025
0	8926	2840

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 141

Calls

Call 1

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

rewrite320.0ms (2.3%)

Memory

-28.5MiB live, 287.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	499
0	102	493
1	367	469
2	2908	469
0	8260	453

Stop Event

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

Counts

24 → 975

Calls

Call 1

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

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

eval356.0ms (2.6%)

Memory: 26.0MiB live, 303.0MiB allocated
Compiler: Compiled 71 801 to 4 652 computations (93.5% saved)

prune264.0ms (1.9%)

Memory

13.2MiB live, 90.8MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 193	10	1 203
Fresh	3	8	11
Picked	3	2	5
Done	0	1	1
Total	1 199	21	1 220

Accuracy

100.0%

Counts

1 220 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	75.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
	56.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	35.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	33.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (neg.f64 x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	38.1%	(/.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) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	44.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
▶	20.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
▶	38.4%	(/.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 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	38.4%	(/.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)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	18.5%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	50.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))) #s(literal 1 binary64)))
	50.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
▶	30.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps))) #s(literal 1 binary64)))
✓	20.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) #s(literal 0 binary64))
	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))))
▶	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
	43.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.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))))
	51.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	43.6%	#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 1 778 to 1 156 computations (35% saved)

simplify242.0ms (1.7%)

Memory

-25.2MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	571
0	95	571
1	190	558
2	472	534
3	1153	517
4	4220	509
0	8291	506

Stop Event

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

Calls

Call 1

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

localize241.0ms (1.7%)

Memory

2.9MiB live, 363.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
accuracy	15.751257510032643	(-.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 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	17.243570584178002	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	23.998568880962793	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	15.751257510032643	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))))
accuracy	17.243570584178002	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))
accuracy	21.26962729112145	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
accuracy	23.936077642045863	#s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64))
accuracy	0	(neg.f64 eps)
accuracy	2.1784747070496477	(fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (* (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps)))
accuracy	23.26738712697642	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps))) #s(literal 1 binary64)))
accuracy	28.54619924499132	#s(approx (* (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	11.499463196662967	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	19.739727919399385	#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
accuracy	11.499463196662967	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))

Samples

90.0ms	84×	2	valid
89.0ms	119×	1	valid
19.0ms	53×	0	exit

Compiler

Compiled 997 to 129 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

adjust: 33.0ms (20.8% of total)

ival-mult: 32.0ms (20.1% of total)

ival-exp: 26.0ms (16.4% of total)

ival-div: 21.0ms (13.2% of total)

ival-sub: 16.0ms (10.1% of total)

ival-add: 16.0ms (10.1% of total)

ival-pow: 9.0ms (5.7% of total)

ival-neg: 5.0ms (3.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series24.0ms (0.2%)

Memory

19.1MiB live, 56.9MiB allocated

Counts

27 → 112

Calls

Call 1

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

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))))))))))
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 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)))
(pow x 2)
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 x)
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 eps)
(+ (* -1 (/ x eps)) (/ 1 eps))
(+ (* x (- (* 1/2 (/ x eps)) (/ 1 eps))) (/ 1 eps))
(+ (* x (- (* x (+ (* -1/6 (/ x eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))) (/ 1 eps))
-1
(- (* x (+ 1 eps)) 1)
(- (* x (- (* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (pow (+ 1 eps) 3)))))) (+ (* -1/2 (pow (+ 1 eps) 2)) (pow (+ 1 eps) 2)))) (* -1 (+ 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)
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
x
(* x (+ 1 (/ 1 x)))
(exp (neg x))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 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)) eps)
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(/ -1 (exp (+ x (* eps x))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(exp (* -1 x))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (- (* eps x) (* -1 x)))) (- (/ 1 eps) 1))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 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)) eps)
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(/ -1 (exp (- (* eps x) (* -1 x))))
(* (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))))))))))))
0
(* 1/2 (/ (- (exp (neg x)) (exp (* -1 x))) eps))
(/ (+ (* 1/2 (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (* 1/2 (- (exp (neg x)) (exp (* -1 x))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))))) (* 1/2 (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))))) eps)
(- (+ (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)) (* 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) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* -1 eps)
(/ -1 (exp x))
(- (/ (* eps x) (exp x)) (/ 1 (exp x)))
(- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (+ (* -1/6 (/ (pow x 3) (exp x))) (* 1/2 (/ (pow x 3) (exp x))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (/ (pow x 2) (exp x))))) (* -1 (/ x (exp x))))) (/ 1 (exp 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)))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (+ x (* eps x)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (+ x (* eps x))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (+ x (* eps x))))) 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))
(* eps (- (/ 1 (pow eps 2)) 1))
(* -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)))))))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* -1 (+ x (* eps x)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* -1 (+ x (* eps x)))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* -1 (+ x (* eps x))))))))
(- (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 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -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
6.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* 1/2 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)))) (/ (exp (neg x)) 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (+ x 1) (exp (neg x))) (* (- eps -1) (- (/ 1 eps) 1)) (neg eps) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
4.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* 1/2 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)))) (/ (exp (neg x)) 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (+ x 1) (exp (neg x))) (* (- eps -1) (- (/ 1 eps) 1)) (neg eps) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
3.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* 1/2 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)))) (/ (exp (neg x)) 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (+ x 1) (exp (neg x))) (* (- eps -1) (- (/ 1 eps) 1)) (neg eps) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
3.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* 1/2 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)))) (/ (exp (neg x)) 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (+ x 1) (exp (neg x))) (* (- eps -1) (- (/ 1 eps) 1)) (neg eps) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))
3.0ms	eps	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (+ (* (* 1/2 x) (+ (* (- eps 1) (+ (/ 1 eps) 1)) (* (- eps -1) (- (/ 1 eps) 1)))) 1) (* 1/2 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)))) (/ (exp (neg x)) 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))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (/ 1 eps) 1) (* (+ x 1) (exp (neg x))) (* (- eps -1) (- (/ 1 eps) 1)) (neg eps) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))))

simplify216.0ms (1.6%)

Memory

-33.5MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	484	2672
1	1587	2362
2	5194	2323
0	8225	2155

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 111

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

rewrite203.0ms (1.5%)

Memory

31.0MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	525
0	95	523
1	407	488
2	3421	488
0	9371	475

Stop Event

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

Counts

27 → 522

Calls

Call 1

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

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

eval138.0ms (1%)

Memory: -12.2MiB live, 191.1MiB allocated
Compiler: Compiled 43 435 to 2 626 computations (94% saved)

prune37.0ms (0.3%)

Memory

22.3MiB live, 96.5MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	667	9	676
Fresh	2	11	13
Picked	1	4	5
Done	0	3	3
Total	670	27	697

Accuracy

100.0%

Counts

697 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	75.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))) #s(literal 2 binary64))
	56.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	35.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	33.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (neg.f64 x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	38.1%	(/.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) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	44.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	20.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64))))) #s(literal 2 binary64))
	15.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg 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))) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	19.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	5.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	38.4%	(/.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 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	38.4%	(/.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)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	12.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (/ (exp (neg x)) eps) (fma.f64 (fma.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) eps)) x (/.f64 #s(literal -1 binary64) eps)) x (/.f64 #s(literal 1 binary64) eps)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64))
	20.9%	(.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
	50.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))) #s(literal 1 binary64)))
	50.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
✓	30.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (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)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps))) #s(literal 1 binary64)))
	29.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (+.f64 (-.f64 eps #s(literal 1 binary64)) #s(approx ( (- eps -1) (- (/ 1 eps) 1)) (neg.f64 eps)))) #s(literal 1 binary64)))
✓	20.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (pow (exp -1) (+ (* x eps) x)))) 2) #s(literal 0 binary64))
	50.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64)))))
✓	61.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
	51.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
	43.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.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))))
	51.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	42.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	43.6%	#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 3 258 to 1 083 computations (66.8% saved)

regimes56.0ms (0.4%)

Memory

-34.3MiB live, 127.9MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

14.0ms	eps
13.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
12.0ms	x
12.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
92.8%	4	`x`
100.0%	2	`eps`
100.0%	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))`
100.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes41.0ms (0.3%)

Memory

0.6MiB live, 80.0MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms

eps

11.0ms

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

10.0ms

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

Results

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

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory

23.5MiB live, 98.9MiB allocated

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms

eps

13.0ms

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

9.0ms

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

Results

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

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes45.0ms (0.3%)

Memory

-22.8MiB live, 70.2MiB allocated

Counts

36 → 5

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
10.0ms	eps
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)))))
8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.5%	3	`x`
87.3%	5	`eps`
82.4%	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))`
82.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes12.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

33 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

eps

Results

Accuracy	Segments	Branch
87.1%	5	`eps`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (0.2%)

Memory

-28.2MiB live, 49.7MiB allocated

Counts

32 → 2

Calls

Call 1

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

Calls

3 calls:

9.0ms

eps

8.0ms

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

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
82.4%	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))`
82.4%	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)))))`
81.8%	2	`eps`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-5.1MiB live, 34.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Calls

2 calls:

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)))))

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
82.4%	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))`
82.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes31.0ms (0.2%)

Memory

22.0MiB live, 64.4MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

9.0ms	eps
8.0ms	x
6.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
80.4%	3	`x`
78.4%	3	`eps`
76.9%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
76.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes23.0ms (0.2%)

Memory

11.7MiB live, 51.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.5%	3	`eps`
75.9%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
75.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
77.4%	3	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes17.0ms (0.1%)

Memory

-9.8MiB live, 29.6MiB allocated

Counts

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

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

Calls

3 calls:

5.0ms

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

5.0ms

4.0ms

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

Results

Accuracy	Segments	Branch
77.1%	4	`x`
57.5%	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))`
57.5%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-16.6MiB live, 22.7MiB allocated

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

Outputs

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

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
53.7%	2	`eps`
71.5%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
61.2%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory

-30.2MiB live, 11.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.6%	1	`eps`
43.6%	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))`
43.6%	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)))))`
43.6%	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.000000000000004

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.000000000000004

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch899.0ms (6.5%)

Memory

-5.2MiB live, 111.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.152003238213726e+294	2.782081450284199e+296
324.0ms	3.051331409516536e+255	8.691291859139899e+257
249.0ms	7.08462952370446e+225	2.2146544287304148e+228
17.0ms	0.004396170506970833	0.05913422907656783

Samples

583.0ms	464×	0	valid
2.0ms	16×	0	exit

Compiler

Compiled 2 453 to 1 702 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 572.0ms

ival-exp: 311.0ms (54.4% of total)

ival-add: 234.0ms (40.9% of total)

ival-mult: 10.0ms (1.7% of total)

ival-div: 7.0ms (1.2% of total)

ival-sub: 6.0ms (1% of total)

ival-neg: 4.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch322.0ms (2.3%)

Memory

1.9MiB live, 43.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	8.152003238213726e+294	2.782081450284199e+296
1.0ms	3.051331409516536e+255	8.691291859139899e+257
1.0ms	7.08462952370446e+225	2.2146544287304148e+228
21.0ms	0.05913422907656783	1672424.4397696594

Samples

15.0ms

144×

valid

Compiler

Compiled 2 808 to 1 954 computations (30.4% saved)

Precisions

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

ival-mult: 3.0ms (25.6% of total)

ival-div: 2.0ms (17.1% of total)

ival-exp: 2.0ms (17.1% of total)

ival-sub: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.5% of total)

ival-neg: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000000000004	27525558.184011858

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000000000004	27525558.184011858

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch688.0ms (4.9%)

Memory

-2.5MiB live, 114.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
304.0ms	-3.567204127693878e-176	-1.942228709568725e-182
348.0ms	-103674517923739360.0	-5.397958497919647

Samples

295.0ms	203×	0	valid
37.0ms	101×	1	valid
2.0ms	15×	1	exit
1.0ms	12×	0	exit

Compiler

Compiled 2 003 to 1 262 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 282.0ms (86.8% of total)

ival-exp: 18.0ms (5.5% of total)

ival-sub: 6.0ms (1.8% of total)

ival-div: 6.0ms (1.8% of total)

ival-add: 4.0ms (1.2% of total)

adjust: 4.0ms (1.2% of total)

ival-neg: 4.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	27525558.184011858	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch113.0ms (0.8%)

Memory

29.5MiB live, 115.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
55.0ms	0.05704130292516153	1034239.4724747216
2.0ms	-3.567204127693878e-176	-1.942228709568725e-182
47.0ms	-2.684200733285642e+83	-1.846638425265881e+75

Samples

40.0ms	67×	1	valid
33.0ms	221×	0	valid
11.0ms	96×	0	exit

Compiler

Compiled 2 903 to 1 878 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 24.0ms (33.5% of total)

ival-mult: 19.0ms (26.5% of total)

ival-exp: 10.0ms (14% of total)

ival-sub: 6.0ms (8.4% of total)

ival-div: 6.0ms (8.4% of total)

ival-neg: 4.0ms (5.6% of total)

adjust: 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)

bsearch63.0ms (0.5%)

Memory

-16.5MiB live, 61.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.05704130292516153	1034239.4724747216
58.0ms	-1.2426762162948275	-0.00010590732975836645

Samples

18.0ms	60×	1	valid
11.0ms	68×	0	valid

Compiler

Compiled 1 677 to 1 155 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 6.0ms (24% of total)

ival-exp: 6.0ms (24% of total)

ival-mult: 4.0ms (16% of total)

ival-div: 3.0ms (12% of total)

adjust: 2.0ms (8% of total)

ival-neg: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.05704130292516153	1034239.4724747216
2.0ms	-1.2426762162948275	-0.00010590732975836645

Compiler

Compiled 1 653 to 1 139 computations (31.1% saved)

bsearch28.0ms (0.2%)

Memory

-17.9MiB live, 25.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	7378525812709.459	466326015296510.44

Samples

21.0ms

112×

valid

Compiler

Compiled 473 to 339 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (65.2% of total)

ival-div: 2.0ms (10.9% of total)

ival-exp: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

simplify161.0ms (1.2%)

Memory

-0.7MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1870
1	272	1870
2	352	1852
3	418	1852
4	468	1852
5	535	1852
6	628	1852
7	694	1852
8	770	1852
9	850	1852
10	916	1852
11	960	1852
12	977	1852
13	980	1852

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
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(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 50000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (.f64 (exp.f64 (.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 50000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) #s(literal -1 binary64)))) #s(literal 2 binary64)))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness2.0s (14.3%)

Memory

-99.6MiB live, 1 499.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	34	94
1	131	89
2	932	86
0	8932	78
0	484	2672
1	1587	2362
2	5194	2323
0	8225	2155
0	320	1976
1	1030	1756
2	3505	1560
0	8233	1458
0	576	3535
1	1984	3087
2	6019	3025
0	8926	2840
0	583	3469
1	2002	2972
2	5956	2886
0	8321	2700
0	69	525
0	95	523
1	407	488
2	3421	488
0	9371	475
0	58	413
0	96	409
1	329	373
2	2366	373
0	8470	360

Stop Event

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

Compiler

Compiled 3 874 to 1 429 computations (63.1% saved)

preprocess353.0ms (2.5%)

Memory: 12.5MiB live, 168.2MiB allocated
Remove: (abs eps)
Compiler: Compiled 3 962 to 534 computations (86.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze61.0ms (0.4%)

sample2.7s (19.1%)

explain579.0ms (4.2%)

preprocess212.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify197.0ms (1.4%)

localize407.0ms (2.9%)

series69.0ms (0.5%)

simplify192.0ms (1.4%)

rewrite220.0ms (1.6%)

eval136.0ms (1%)

prune18.0ms (0.1%)

simplify164.0ms (1.2%)

localize181.0ms (1.3%)

series33.0ms (0.2%)

simplify158.0ms (1.1%)

rewrite294.0ms (2.1%)

eval189.0ms (1.4%)

prune191.0ms (1.4%)

simplify155.0ms (1.1%)

localize527.0ms (3.8%)

series32.0ms (0.2%)

simplify251.0ms (1.8%)

rewrite320.0ms (2.3%)

eval356.0ms (2.6%)

prune264.0ms (1.9%)

simplify242.0ms (1.7%)

localize241.0ms (1.7%)

series24.0ms (0.2%)

simplify216.0ms (1.6%)

rewrite203.0ms (1.5%)

eval138.0ms (1%)

prune37.0ms (0.3%)

regimes56.0ms (0.4%)

regimes41.0ms (0.3%)

regimes38.0ms (0.3%)

regimes45.0ms (0.3%)

regimes12.0ms (0.1%)

regimes28.0ms (0.2%)

regimes16.0ms (0.1%)

regimes31.0ms (0.2%)

regimes23.0ms (0.2%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch899.0ms (6.5%)

bsearch322.0ms (2.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch688.0ms (4.9%)

bsearch1.0ms (0%)

bsearch113.0ms (0.8%)

bsearch63.0ms (0.5%)

bsearch4.0ms (0%)

bsearch28.0ms (0.2%)

simplify161.0ms (1.2%)

soundness2.0s (14.3%)

preprocess353.0ms (2.5%)

end0.0ms (0%)

Profiling