Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze29.0ms (0.3%)

Memory

1.6MiB live, 40.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.8s (24.6%)

Memory

21.1MiB live, 3 216.5MiB allocated

Samples

1.0s	5 984×	0	valid
965.0ms	2 272×	1	valid
151.0ms	972×	0	exit
3.0ms	17×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-exp: 516.0ms (28.3% of total)

ival-div: 374.0ms (20.5% of total)

ival-mult: 342.0ms (18.7% of total)

ival-sub: 180.0ms (9.9% of total)

ival-add: 145.0ms (7.9% of total)

ival-neg: 132.0ms (7.2% of total)

adjust: 116.0ms (6.4% of total)

exact: 10.0ms (0.5% of total)

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

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

Bogosity

explain366.0ms (3.2%)

Memory

10.8MiB live, 451.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
70	2	(3.664719385004403e-274 -2.7165389740898897e-14)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
0	0	-	-	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	70	0
-	2	184

Precision

0.9722222222222222

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	2	0	184

Precision?

0.9722222222222222

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms	368×	0	valid
69.0ms	144×	1	valid

Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 38.0ms (30.6% of total)

ival-mult: 37.0ms (29.8% of total)

ival-exp: 18.0ms (14.5% of total)

ival-sub: 11.0ms (8.9% of total)

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

adjust: 6.0ms (4.8% of total)

ival-neg: 6.0ms (4.8% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess274.0ms (2.4%)

Memory

-3.2MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

73.5%

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify405.0ms (3.5%)

Memory

9.1MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize541.0ms (4.7%)

Memory

14.0MiB live, 125.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(.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	0.015625	(.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	16.957448751187677	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

65.0ms	184×	0	valid
29.0ms	72×	1	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 49.0ms (60.1% of total)

ival-div: 10.0ms (12.3% of total)

ival-exp: 9.0ms (11% of total)

ival-sub: 5.0ms (6.1% of total)

ival-add: 3.0ms (3.7% of total)

adjust: 3.0ms (3.7% of total)

ival-neg: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

-28.0MiB live, 26.8MiB allocated

Counts

6 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
5.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
3.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
3.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))
1.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- 1 eps) x))

simplify204.0ms (1.8%)

Memory

12.0MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1956
1	1081	1768
2	5172	1643
0	8170	1553

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

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

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

rewrite206.0ms (1.8%)

Memory

14.4MiB live, 283.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	34	92
1	129	89
2	868	86
0	8685	79

Stop Event

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

Counts

6 → 416

Calls

Call 1

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

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

eval63.0ms (0.5%)

Memory: -20.3MiB live, 134.8MiB allocated
Compiler: Compiled 23 951 to 2 209 computations (90.8% saved)

prune41.0ms (0.4%)

Memory

-19.7MiB live, 51.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	456	8	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	457	8	465

Accuracy

100.0%

Counts

465 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.5%	(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	71.9%	(/.f64 (-.f64 (.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))
▶	33.2%	(/.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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	35.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	37.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
▶	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 642 to 414 computations (35.5% saved)

simplify141.0ms (1.2%)

Memory

10.4MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	1	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	1	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
cost-diff	14	(-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
cost-diff	1	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
cost-diff	1	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
cost-diff	2	(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	1	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	642
0	108	628
1	212	605
2	523	554
3	2115	554
0	8913	550

Stop Event

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

Calls

Call 1

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

localize221.0ms (1.9%)

Memory

-11.9MiB live, 384.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
accuracy	0.015625	(.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	0.0703125	(.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))
accuracy	16.957448751187677	(-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(.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	12.017246830583478	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	16.957448751187677	(-.f64 (.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))))
accuracy	0.0078125	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
accuracy	0.01171875	(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	0.015625	(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
accuracy	11.358375888631285	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
accuracy	11.630530025275252	#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 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
accuracy	0.015625	(.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	16.957448751187677	(-.f64 (.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	18.02159353890377	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))

Samples

65.0ms	72×	1	valid
33.0ms	79×	0	valid
21.0ms	50×	1	exit
18.0ms	55×	0	exit

Compiler

Compiled 589 to 47 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 20.0ms (19.5% of total)

ival-exp: 16.0ms (15.6% of total)

ival-add: 14.0ms (13.7% of total)

ival-div: 13.0ms (12.7% of total)

adjust: 12.0ms (11.7% of total)

ival-sub: 9.0ms (8.8% of total)

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

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

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

ival-sinh: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series74.0ms (0.6%)

Memory

-7.9MiB live, 77.6MiB allocated

Counts

21 → 141

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) 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))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))))
9.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) 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))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))))
7.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) 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))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))))
7.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) 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))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))))
5.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (+ 1 x) -1) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (- (+ 1 x) -1) 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))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (- (- (* (+ (pow eps -1) 1) (cosh (* x (- 1 eps)))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))))

simplify227.0ms (2%)

Memory

30.3MiB live, 187.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	740	6712
1	2698	6074
0	8467	5726

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

Calls

Call 1

Inputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 x)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 2 (* 2 x))
(+ 1 (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))) (/ 1 eps)))
(+ 1 (+ (* x (- (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))))) (/ 1 eps)))
(+ 1 (+ (* x (- (* x (- (+ (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (+ (* -1 (* (+ (* 1/2 (pow (- 1 eps) 2)) (* (- 1 eps) (- eps 1))) (- 1 eps))) (* 1/2 (* (pow (- 1 eps) 2) (- eps 1)))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (* -1/6 (pow (- 1 eps) 3)) (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps)))))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))))) (/ 1 eps)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (+ 1 eps))
(+ 1 (* -1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))))))
(+ 1 (* x (+ (* -1/2 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))))) (* 1/2 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(+ 1 (* x (+ (* -1/2 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))))) (* x (+ (* 1/2 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (+ (* -1 (* (+ (* 1/2 (pow (- 1 eps) 2)) (* (- 1 eps) (- eps 1))) (- 1 eps))) (* 1/2 (* (pow (- 1 eps) 2) (- eps 1)))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* -1/6 (pow (- 1 eps) 3)) (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps))))))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))) (* 1/2 (- (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))
-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)
(* x (- 1 eps))
(+ 2 (* -1 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))))))
(+ 2 (* x (- (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))))))
(+ 2 (* x (- (* x (- (+ (* -1/2 (* (+ 1 (/ 1 eps)) (* (- 1 eps) (- eps 1)))) (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (+ (* -1 (* (+ (* 1/2 (pow (- 1 eps) 2)) (* (- 1 eps) (- eps 1))) (- 1 eps))) (* 1/2 (* (pow (- 1 eps) 2) (- eps 1)))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* -1/6 (pow (- 1 eps) 3)) (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps))))))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1))))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))))))
(* -1/2 (* x (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))))
(* x (+ (* -1/2 (* x (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1)))))
(* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))) (* x (+ (* -1/2 (* x (* (+ 1 (/ 1 eps)) (- (* -1/6 (pow (- 1 eps) 3)) (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps)))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))))))))))
(* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (+ eps (* -1 (- 1 eps))) 1))) (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2)))))) (* x (+ (* -1/2 (* x (* (+ 1 (/ 1 eps)) (- (* 1/24 (pow (- 1 eps) 4)) (+ (* -1/2 (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (pow (- 1 eps) 2))) (+ (* -1/6 (* (pow (- 1 eps) 3) (- eps 1))) (+ (* -1/24 (pow (- 1 eps) 4)) (* (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps)))) (- 1 eps))))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (* -1/6 (pow (- 1 eps) 3)) (+ (* 1/6 (pow (- 1 eps) 3)) (+ (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))) (* (+ (* -1 (* (- 1 eps) (- eps 1))) (* -1/2 (pow (- 1 eps) 2))) (- 1 eps)))))))))))))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(- (* 1/2 (* (+ 1 (/ 1 eps)) (+ (exp (* x (- 1 eps))) (/ 1 (exp (* x (- 1 eps))))))) (* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps)))))))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (+ (exp (* x (- 1 eps))) (/ 1 (exp (* x (- 1 eps))))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps)))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))
(/ -1 (exp (+ x (* eps x))))
(- (* 1/2 (* (+ 1 (/ 1 eps)) (+ (exp (* x (- 1 eps))) (/ 1 (exp (* x (- 1 eps))))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps)))))))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps))))))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (+ (exp (* x (- 1 eps))) (/ 1 (exp (* x (- 1 eps))))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps)))))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))
(/ -1 (exp (- (* eps x) (* -1 x))))
(- (* 1/2 (* (+ 1 (/ 1 eps)) (+ (exp (* x (- 1 eps))) (/ 1 (exp (* x (- 1 eps))))))) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- (exp (* -1 (* x (- 1 eps)))) (/ 1 (exp (* -1 (* x (- 1 eps)))))))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(/ (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)
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(+ (* -1/2 (/ (- (* -1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))))) eps)) (* 1/2 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* -1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* -1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))))
(- (+ (* -1 (/ (- (* -1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))))) eps)) (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* -1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))))
(* -1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))
(+ (* -1/2 (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))) (* -1/2 (/ (- (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)))

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

rewrite339.0ms (2.9%)

Memory

2.1MiB live, 280.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	446
0	108	433
1	385	377
2	2843	377
0	9603	363

Stop Event

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

Counts

21 → 1 048

Calls

Call 1

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

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

eval293.0ms (2.5%)

Memory: -3.5MiB live, 223.1MiB allocated
Compiler: Compiled 90 946 to 5 608 computations (93.8% saved)

prune75.0ms (0.7%)

Memory

-16.7MiB live, 71.2MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 221	15	1 236
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 227	17	1 244

Accuracy

100.0%

Counts

1 244 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 (-.f64 eps (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	71.9%	(/.f64 (-.f64 (.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))
▶	34.0%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	31.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #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))
	34.2%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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))
	21.4%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	33.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	14.4%	(/.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)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 binary64)))
	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
	20.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
▶	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 1 537 to 1 007 computations (34.5% saved)

simplify154.0ms (1.3%)

Memory

21.5MiB live, 95.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	654
0	108	646
1	226	628
2	642	610
3	2729	610
0	8249	602

Stop Event

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

Calls

Call 1

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

localize370.0ms (3.2%)

Memory

-10.0MiB live, 147.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.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	16.957448751187677	(-.f64 (.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))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))))
accuracy	18.02159353890377	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))
accuracy	20.515985636345842	#s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 (*.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x))
accuracy	0.015625	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	8.342789422153446	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	1.9363381585256887	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	20.349015730852518	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	0.0	(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	8.342789422153446	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
accuracy	17.177790194848555	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.015625	(.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	16.957448751187677	(-.f64 (.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	18.02159353890377	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))

Samples

124.0ms	113×	1	valid
118.0ms	74×	2	valid
23.0ms	69×	0	exit

Compiler

Compiled 522 to 54 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 79.0ms (35.5% of total)

ival-div: 44.0ms (19.8% of total)

adjust: 28.0ms (12.6% of total)

ival-sub: 26.0ms (11.7% of total)

ival-add: 21.0ms (9.4% of total)

ival-exp: 18.0ms (8.1% of total)

ival-neg: 7.0ms (3.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series28.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

26 → 112

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (+ (+ x 2) x) 1) (+ (+ x 2) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/ (- (* (+ 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) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (neg x) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (* (+ (+ x 2) x) 1) (exp x)) (exp x) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
4.0ms	x	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (+ (+ x 2) x) 1) (+ (+ x 2) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/ (- (* (+ 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) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (neg x) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (* (+ (+ x 2) x) 1) (exp x)) (exp x) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms	eps	@	-inf	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (+ (+ x 2) x) 1) (+ (+ x 2) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/ (- (* (+ 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) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (neg x) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (* (+ (+ x 2) x) 1) (exp x)) (exp x) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms	eps	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (+ (+ x 2) x) 1) (+ (+ x 2) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/ (- (* (+ 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) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (neg x) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (* (+ (+ x 2) x) 1) (exp x)) (exp x) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms	x	@	0	((* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1))) (* (+ (+ x 2) x) 1) (+ (+ x 2) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/ (- (* (+ 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) 1) (exp (neg (* (+ 1 eps) x)))) (* (- 1 eps) x) (neg x) (* (- eps 1) (+ (/ 1 eps) 1)) (/ (* (+ (+ x 2) x) 1) (exp x)) (exp x) (/ -1 (exp (+ (* x eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))

simplify208.0ms (1.8%)

Memory

-13.4MiB live, 107.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	2487
1	1622	2209
2	7066	2182
0	8138	2055

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

Inputs
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (* -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)))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 x)
(+ 2 (* 2 x))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (- 1 eps))
(* -1 x)
(+ 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 (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 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)))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 2 (/ x (exp x)))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
(exp x)
(/ -1 (exp (+ x (* eps x))))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(/ -1 (exp (- (* eps x) (* -1 x))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
0
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
x
(+ x (* -1 (* eps x)))
(/ -1 eps)
(/ (- (pow eps 2) 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 (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))

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

rewrite230.0ms (2%)

Memory

29.3MiB live, 193.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	520
0	108	512
1	429	486
2	3573	486
0	8813	474

Stop Event

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

Counts

26 → 489

Calls

Call 1

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

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

eval156.0ms (1.4%)

Memory: -14.1MiB live, 142.5MiB allocated
Compiler: Compiled 36 778 to 2 739 computations (92.6% saved)

prune59.0ms (0.5%)

Memory

-3.3MiB live, 71.8MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	615	19	634
Fresh	7	4	11
Picked	4	1	5
Done	0	1	1
Total	626	25	651

Accuracy

100.0%

Counts

651 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 (-.f64 eps (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	31.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #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))
	21.4%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	34.2%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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))
	13.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	33.7%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	22.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	17.1%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	71.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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))
	34.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
	55.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	52.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
▶	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
▶	17.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
	1.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)))
▶	20.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))))
	20.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))
	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 2 484 to 1 578 computations (36.5% saved)

simplify178.0ms (1.5%)

Memory

-6.0MiB live, 155.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	742
0	118	742
1	264	714
2	844	683
3	3251	663
0	8819	657

Stop Event

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

Calls

Call 1

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

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

localize600.0ms (5.2%)

Memory

38.4MiB live, 670.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
accuracy	0.015625	(+.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	25.432473533275907	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	2.9045937120509007	(fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	37.0599532308525	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
accuracy	61.99859042974503	#s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
accuracy	0.7042005192294054	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	16.084159390559336	(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
accuracy	25.432473533275907	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
accuracy	26.322322814082007	#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	25.432473533275907	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	26.322752299368396	#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 (*.f64 x eps) x)
accuracy	0.015625	(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
accuracy	16.957448751187677	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
accuracy	18.02159353890377	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))

Samples

409.0ms	204×	2	valid
136.0ms	52×	3	valid

Compiler

Compiled 493 to 64 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-mult: 159.0ms (34.4% of total)

adjust: 72.0ms (15.6% of total)

ival-add: 67.0ms (14.5% of total)

ival-exp: 59.0ms (12.8% of total)

ival-sub: 38.0ms (8.2% of total)

ival-neg: 34.0ms (7.4% of total)

ival-div: 32.0ms (6.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series34.0ms (0.3%)

Memory

-14.7MiB live, 70.0MiB allocated

Counts

26 → 119

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)))
(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 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)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64))
#s(approx (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)))
#s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(-.f64 (*.f64 x eps) x)
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(exp.f64 (neg.f64 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))))))))))
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) eps)
(+ 1 (+ (/ 1 eps) (/ (* x (* (+ 1 eps) (- eps 1))) eps)))
(+ 1 (+ (* x (+ (* 1/2 (/ (* x (* (+ 1 eps) (pow (- eps 1) 2))) eps)) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (/ (* x (* (+ 1 eps) (pow (- eps 1) 3))) eps)) (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)))) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(pow x 2)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (/ (* (+ 1 eps) (- eps 1)) eps))))
(+ 2 (* 2 x))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/4 x) 1/2)))
(+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (- eps 1))
(/ 2 x)
(/ (+ 2 (* -1 (pow x 2))) x)
(/ 2 (pow x 2))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps)))
(/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps)
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 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)))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* 1/2 (exp (neg x)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* -1 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(exp (neg x))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps)
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* 1/2 (exp (* -1 x)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(exp (* -1 x))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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)
0
(/ (+ (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)
(- (* eps x) x)
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(exp (- (* eps x) x))
(+ (exp (- (* eps x) x)) (/ (exp (- (* eps x) x)) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (- (* x eps) x)) (/ (+ 1 eps) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* (* 1/2 x) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (* (+ (+ 2 x) x) (* (exp (neg x)) 1/2)) (+ (+ 2 x) x) (* (exp (neg x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (* x eps) x) (* (- (/ 2 (* x x)) 1) x) (/ 2 (* x x)) (* (+ 1 eps) (- (/ 1 eps) 1)) (exp (neg x)))
5.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (- (* x eps) x)) (/ (+ 1 eps) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* (* 1/2 x) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (* (+ (+ 2 x) x) (* (exp (neg x)) 1/2)) (+ (+ 2 x) x) (* (exp (neg x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (* x eps) x) (* (- (/ 2 (* x x)) 1) x) (/ 2 (* x x)) (* (+ 1 eps) (- (/ 1 eps) 1)) (exp (neg x)))
5.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (- (* x eps) x)) (/ (+ 1 eps) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* (* 1/2 x) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (* (+ (+ 2 x) x) (* (exp (neg x)) 1/2)) (+ (+ 2 x) x) (* (exp (neg x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (* x eps) x) (* (- (/ 2 (* x x)) 1) x) (/ 2 (* x x)) (* (+ 1 eps) (- (/ 1 eps) 1)) (exp (neg x)))
5.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (- (* x eps) x)) (/ (+ 1 eps) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* (* 1/2 x) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (* (+ (+ 2 x) x) (* (exp (neg x)) 1/2)) (+ (+ 2 x) x) (* (exp (neg x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (* x eps) x) (* (- (/ 2 (* x x)) 1) x) (/ 2 (* x x)) (* (+ 1 eps) (- (/ 1 eps) 1)) (exp (neg x)))
4.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (exp (- (* x eps) x)) (/ (+ 1 eps) eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) (+ (* (neg x) x) 2) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (* (* 1/2 x) (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1)))) (* (+ (+ 2 x) x) (* (exp (neg x)) 1/2)) (+ (+ 2 x) x) (* (exp (neg x)) 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (* x eps) x) (* (- (/ 2 (* x x)) 1) x) (/ 2 (* x x)) (* (+ 1 eps) (- (/ 1 eps) 1)) (exp (neg x)))

simplify185.0ms (1.6%)

Memory

2.4MiB live, 203.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	2545
1	1578	2273
2	6756	2269
0	8258	2120

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 119

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(/ (+ 1 eps) eps)
(+ 1 (+ (/ 1 eps) (/ (* x (* (+ 1 eps) (- eps 1))) eps)))
(+ 1 (+ (* x (+ (* 1/2 (/ (* x (* (+ 1 eps) (pow (- eps 1) 2))) eps)) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (/ (* x (* (+ 1 eps) (pow (- eps 1) 3))) eps)) (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)))) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(pow x 2)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (/ (* (+ 1 eps) (- eps 1)) eps))))
(+ 2 (* 2 x))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/4 x) 1/2)))
(+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (- eps 1))
(/ 2 x)
(/ (+ 2 (* -1 (pow x 2))) x)
(/ 2 (pow x 2))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps)))
(/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps)
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 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)))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* 1/2 (exp (neg x)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* -1 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(exp (neg x))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps)
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* 1/2 (exp (* -1 x)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(exp (* -1 x))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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)
0
(/ (+ (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)
(- (* eps x) x)
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(exp (- (* eps x) x))
(+ (exp (- (* eps x) x)) (/ (exp (- (* eps x) x)) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)) (*.f64 (neg.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 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
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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 (fma.f64 eps eps #s(literal -1 binary64)) eps)) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)) (.f64 (neg.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 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (-.f64 eps #s(literal 1 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.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)) x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))) x #s(literal 2 binary64))
(+ 1 (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) x (+.f64 eps #s(literal 1 binary64))) eps)
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) eps) 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 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) x (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))) eps) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(/ (+ 1 eps) eps)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ 1 (+ (/ 1 eps) (/ (* x (* (+ 1 eps) (- eps 1))) eps)))
(/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) x (+.f64 eps #s(literal 1 binary64))) eps)
(+ 1 (+ (* x (+ (* 1/2 (/ (* x (* (+ 1 eps) (pow (- eps 1) 2))) eps)) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) eps) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (/ (* x (* (+ 1 eps) (pow (- eps 1) 3))) eps)) (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)))) (/ (* (+ 1 eps) (- eps 1)) eps))) (/ 1 eps)))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) x (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps x)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))) eps) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 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 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ 2 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (/ (* (+ 1 eps) (- eps 1)) eps))))
(.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/4 x) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 (neg.f64 (fma.f64 x eps x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) 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)))
(- (+ (* 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 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x)) x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* x (- eps 1))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1 (pow x 2))) x)
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 2 binary64)) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
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(-.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))
(exp (neg (* x (- 1 eps))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(exp (- (* eps x) x))
(pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps))
(+ (exp (- (* eps x) x)) (/ (exp (- (* eps x) x)) eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 (-.f64 x (/.f64 x 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 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #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 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)))

rewrite192.0ms (1.7%)

Memory

8.3MiB live, 206.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	637
0	118	637
1	479	596
2	4237	596
0	8270	566

Stop Event

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

Counts

26 → 311

Calls

Call 1

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

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

eval70.0ms (0.6%)

Memory: 4.0MiB live, 162.5MiB allocated
Compiler: Compiled 28 894 to 2 257 computations (92.2% saved)

prune41.0ms (0.4%)

Memory

-14.4MiB live, 107.2MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	417	13	430
Fresh	6	12	18
Picked	3	2	5
Done	1	1	2
Total	427	28	455

Accuracy

100.0%

Counts

455 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #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))
	21.4%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	34.2%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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))
	30.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (cosh.f64 (-.f64 (.f64 x eps) x)) (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (sinh.f64 (-.f64 (.f64 x 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))
	35.9%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	22.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	17.1%	(/.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)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	34.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
	56.6%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 #s(approx (- ( x eps) x) (.f64 x eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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))
	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
✓	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
	41.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #s(literal 1/2 binary64))))
	28.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))
	31.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))
	26.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
	2.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
	20.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #s(literal 0 binary64)))))
	60.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))))
	20.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))
	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	51.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	41.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	17.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
	1.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
✓	42.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 4 447 to 1 314 computations (70.5% saved)

regimes106.0ms (0.9%)

Memory

6.5MiB live, 171.5MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.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 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.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 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 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))) (-.f64 (fma.f64 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) 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 #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)))) (-.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)) (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) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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))) (-.f64 (fma.f64 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))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 #s(approx (- ( x eps) x) (.f64 x eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (cosh.f64 (-.f64 (.f64 x eps) x)) (.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (sinh.f64 (-.f64 (.f64 x 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 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* (+ (/ -1 eps) -1) (sinh (* (neg x) (- 1 eps)))) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 (-.f64 eps (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (sinh.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

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

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

4 calls:

37.0ms	(/.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))
34.0ms	eps
15.0ms	x
15.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
90.5%	3	`x`
100.0%	3	`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)

regimes67.0ms (0.6%)

Memory

-31.8MiB live, 124.0MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.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 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.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 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 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))) (-.f64 (fma.f64 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) 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 #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)))) (-.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)) (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) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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))) (-.f64 (fma.f64 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))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Outputs

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

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

Calls

4 calls:

15.0ms	eps
14.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
13.0ms	x
11.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
73.0%	3	`x`
86.3%	5	`eps`
82.5%	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))`
82.5%	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 58 to 40 computations (31% saved)

regimes32.0ms (0.3%)

Memory

31.3MiB live, 70.4MiB allocated

Counts

37 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.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 (exp.f64 (neg.f64 x)) #s(approx (+ (- (+ 1 x) -1) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (exp.f64 (neg.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 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 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))) (-.f64 (fma.f64 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 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.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 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))

Calls

3 calls:

11.0ms

eps

10.0ms

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

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
76.5%	4	`eps`
73.1%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
73.1%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes38.0ms (0.3%)

Memory

-8.1MiB live, 76.4MiB allocated

Counts

30 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 x (exp.f64 x))))

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

Calls

4 calls:

11.0ms	eps
9.0ms	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))
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
67.7%	3	`x`
66.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
66.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
71.0%	4	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes32.0ms (0.3%)

Memory

-9.3MiB live, 68.6MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps)) (.f64 #s(literal 1/2 binary64) x))))

Outputs

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

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

Calls

4 calls:

9.0ms	x
8.0ms	eps
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))
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)))))

Results

Accuracy	Segments	Branch
67.5%	3	`x`
65.0%	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))`
65.0%	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)))))`
67.4%	4	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes35.0ms (0.3%)

Memory

6.3MiB live, 49.2MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 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 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))

Outputs

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

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

Calls

4 calls:

15.0ms	(-.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	eps
6.0ms	x
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
64.4%	4	`eps`
61.9%	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))`
61.9%	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)))))`
65.1%	3	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes39.0ms (0.3%)

Memory

12.7MiB live, 52.3MiB 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) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #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 (* (* (exp (neg x)) (+ (- (+ 1 x) -1) 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) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) #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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (*.f64 (neg.f64 x) 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(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) #s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(approx ( (exp (neg x)) (+ (- (+ 1 x) -1) x)) #s(approx (+ (* (neg x) x) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (neg.f64 eps))))))

Outputs

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

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

Calls

4 calls:

22.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
6.0ms	x
6.0ms	eps
5.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.5%	1	`eps`
51.5%	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))`
51.5%	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)))))`
60.0%	2	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes8.0ms (0.1%)

Memory

-19.6MiB live, 18.1MiB allocated

Accuracy

Total -25.9b remaining (-69.8%)

Threshold costs -25.9b (-69.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

4.0ms	x
1.0ms	eps
1.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
42.1%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
42.1%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
42.1%	1	`eps`
42.1%	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.000000000000097

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000000000000097	+inf

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch72.0ms (0.6%)

Memory

11.6MiB live, 134.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	7.66631870682964e+155	4.657633324860541e+157
24.0ms	3.137906687440665e-7	907.934450880858
21.0ms	-444175632803.7517	-107270619.5181261

Samples

47.0ms	384×	0	valid
0.0ms	4×	0	exit

Compiler

Compiled 2 667 to 1 726 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 11.0ms (30.1% of total)

ival-add: 6.0ms (16.4% of total)

ival-div: 5.0ms (13.7% of total)

ival-exp: 5.0ms (13.7% of total)

ival-sub: 5.0ms (13.7% of total)

ival-neg: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory

-20.6MiB live, 57.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	7.66631870682964e+155	4.657633324860541e+157
30.0ms	516827.5953454252	177398496087778460.0
2.0ms	-444175632803.7517	-107270619.5181261

Samples

22.0ms

160×

valid

Compiler

Compiled 2 838 to 1 830 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 8.0ms (42.9% of total)

ival-mult: 4.0ms (21.4% of total)

ival-div: 2.0ms (10.7% of total)

ival-exp: 2.0ms (10.7% of total)

ival-add: 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)

bsearch103.0ms (0.9%)

Memory

22.4MiB live, 222.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.1948182206962703	12167.072817733499
57.0ms	-1.4606910930215627e+25	-2417162486.6109257

Samples

27.0ms	227×	0	valid
22.0ms	61×	1	valid
22.0ms	148×	0	exit

Compiler

Compiled 2 224 to 1 402 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 12.0ms (20.4% of total)

ival-exp: 11.0ms (18.7% of total)

ival-div: 9.0ms (15.3% of total)

ival-neg: 9.0ms (15.3% of total)

ival-sub: 7.0ms (11.9% of total)

ival-add: 7.0ms (11.9% of total)

adjust: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory

-26.1MiB live, 12.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.1948182206962703	12167.072817733499
4.0ms	-1.4606910930215627e+25	-2417162486.6109257

Compiler

Compiled 2 216 to 1 386 computations (37.5% saved)

bsearch35.0ms (0.3%)

Memory

-3.2MiB live, 73.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.1948182206962703	12167.072817733499

Samples

10.0ms	34×	1	valid
8.0ms	13×	2	valid
7.0ms	65×	0	valid

Compiler

Compiled 928 to 512 computations (44.8% saved)

Precisions

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

ival-exp: 5.0ms (23.2% of total)

adjust: 4.0ms (18.6% of total)

ival-mult: 4.0ms (18.6% of total)

ival-div: 2.0ms (9.3% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify53.0ms (0.5%)

Memory

8.4MiB live, 91.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1287
1	322	1287
2	798	1221
3	3205	1207

Stop Event

1×	node limit

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 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 #s(approx (- ( x eps) x) (.f64 x eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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)))
(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 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal -110000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) (if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (if (<=.f64 eps #s(literal 46000000000000000758813574600799780599072647010748129901690037113311991960494311700524026685101863819925134250311391875990831049639897977407370351687482998784 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps)))))))))
(if (<=.f64 eps #s(literal -110000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) (if (<=.f64 eps #s(literal 520000 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 eps #s(literal 46000000000000000758813574600799780599072647010748129901690037113311991960494311700524026685101863819925134250311391875990831049639897977407370351687482998784 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps)))))))))
(if (<=.f64 x #s(literal -2500000000 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 #s(literal 1 binary64) eps))))))))
(if (<=.f64 x #s(literal -2500000000 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (/ -1 (exp (+ (* x eps) x))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (+ (- (+ 1 x) -1) x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #s(literal 0 binary64)))))))
(if (<=.f64 x #s(literal 440 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (- eps 1) (/ (+ 1 eps) eps)) (* (+ 1 eps) (- (/ 1 eps) 1))) #s(literal 0 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Outputs
(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 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 #s(approx (- ( x eps) x) (.f64 x eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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)))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x))) (.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (.f64 (exp.f64 #s(approx (- ( x eps) x) (.f64 x eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) 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)))
(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 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) x))) (.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal -110000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) (if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (/ (* (+ (+ x 2) x) 1) (exp x)) 1/2) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))) (if (<=.f64 eps #s(literal 46000000000000000758813574600799780599072647010748129901690037113311991960494311700524026685101863819925134250311391875990831049639897977407370351687482998784 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps)))))))))
(if (<=.f64 eps #s(literal -110000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) (if (<=.f64 eps #s(literal 520000 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (/.f64 (.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 eps #s(literal 46000000000000000758813574600799780599072647010748129901690037113311991960494311700524026685101863819925134250311391875990831049639897977407370351687482998784 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) x) #s(approx ( (exp (neg x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1/2 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (- eps 1) (+ (/ 1 eps) 1)))) 1) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) #s(approx (* (+ 1 eps) (- (/ 1 eps) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) eps)))))))))
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.7s (14.6%)

Memory

23.3MiB live, 1 106.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	740	6712
1	2698	6074
0	8467	5726
0	453	2487
1	1622	2209
2	7066	2182
0	8138	2055
0	71	520
0	108	512
1	429	486
2	3573	486
0	8813	474
0	65	446
0	108	433
1	385	377
2	2843	377
0	9603	363
0	299	1956
1	1081	1768
2	5172	1643
0	8170	1553
0	450	2545
1	1578	2273
2	6756	2269
0	8258	2120

Stop Event

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

Compiler

Compiled 2 060 to 767 computations (62.8% saved)

preprocess243.0ms (2.1%)

Memory: -30.5MiB live, 86.7MiB allocated
Compiler: Compiled 2 636 to 380 computations (85.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze29.0ms (0.3%)

sample2.8s (24.6%)

explain366.0ms (3.2%)

preprocess274.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify405.0ms (3.5%)

localize541.0ms (4.7%)

series78.0ms (0.7%)

simplify204.0ms (1.8%)

rewrite206.0ms (1.8%)

eval63.0ms (0.5%)

prune41.0ms (0.4%)

simplify141.0ms (1.2%)

localize221.0ms (1.9%)

series74.0ms (0.6%)

simplify227.0ms (2%)

rewrite339.0ms (2.9%)

eval293.0ms (2.5%)

prune75.0ms (0.7%)

simplify154.0ms (1.3%)

localize370.0ms (3.2%)

series28.0ms (0.2%)

simplify208.0ms (1.8%)

rewrite230.0ms (2%)

eval156.0ms (1.4%)

prune59.0ms (0.5%)

simplify178.0ms (1.5%)

localize600.0ms (5.2%)

series34.0ms (0.3%)

simplify185.0ms (1.6%)

rewrite192.0ms (1.7%)

eval70.0ms (0.6%)

prune41.0ms (0.4%)

regimes106.0ms (0.9%)

regimes67.0ms (0.6%)

regimes32.0ms (0.3%)

regimes38.0ms (0.3%)

regimes32.0ms (0.3%)

regimes35.0ms (0.3%)

regimes39.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch72.0ms (0.6%)

bsearch50.0ms (0.4%)

bsearch103.0ms (0.9%)

bsearch6.0ms (0.1%)

bsearch35.0ms (0.3%)

simplify53.0ms (0.5%)

soundness1.7s (14.6%)

preprocess243.0ms (2.1%)

end0.0ms (0%)

Profiling