Metrics for NMSE Section 6.1 mentioned, A

analyze31.0ms (0.2%)

Memory

-14.1MiB live, 64.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (19.3%)

Memory

9.1MiB live, 4 084.0MiB allocated

Samples

933.0ms	2 292×	1	valid
776.0ms	5 964×	0	valid
118.0ms	927×	0	exit
3.0ms	17×	1	exit

Precisions

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

ival-exp: 379.0ms (25.8% of total)

ival-mult: 300.0ms (20.4% of total)

ival-sub: 203.0ms (13.8% of total)

ival-div: 190.0ms (12.9% of total)

adjust: 128.0ms (8.7% of total)

ival-neg: 126.0ms (8.6% of total)

ival-add: 122.0ms (8.3% of total)

exact: 11.0ms (0.7% of total)

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

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

Bogosity

preprocess316.0ms (2.2%)

Memory

25.7MiB live, 670.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs eps)

explain352.0ms (2.5%)

Memory

-61.2MiB live, 610.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	2	(6.925571604987221e-15 0.004846687427239698)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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	74	0

Confusion

	Predicted +	Predicted -
+	73	0
-	1	182

Precision

0.9864864864864865

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	1	0	182

Precision?

0.9864864864864865

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	144×	1	valid
47.0ms	368×	0	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

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

ival-exp: 19.0ms (26.7% of total)

ival-mult: 15.0ms (21.1% of total)

ival-sub: 9.0ms (12.6% of total)

ival-div: 9.0ms (12.6% of total)

ival-add: 7.0ms (9.8% of total)

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

adjust: 5.0ms (7% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(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

▶

72.7%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify323.0ms (2.3%)

Memory

-1.0MiB live, 475.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.6%)

Memory

31.7MiB live, 186.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	72.7%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

26.0ms	72×	1	valid
26.0ms	184×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

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

ival-exp: 11.0ms (29.1% of total)

ival-mult: 8.0ms (21.2% of total)

ival-sub: 5.0ms (13.2% of total)

ival-div: 5.0ms (13.2% of total)

adjust: 3.0ms (7.9% of total)

ival-neg: 3.0ms (7.9% of total)

ival-add: 3.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

-0.4MiB live, 37.0MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify581.0ms (4.1%)

Memory

18.3MiB live, 791.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 366×	`lower-fma.f64`
16 366×	`lower-fma.f32`
4 512×	`lower-+.f64`
4 512×	`lower-+.f32`
4 372×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	3116
1	975	2807
2	3409	2490
0	8370	2351

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite470.0ms (3.3%)

Memory

-8.0MiB live, 518.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	34	93
1	131	87
2	932	86
0	8931	78

Stop Event

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

Counts

6 → 500

Calls

Call 1

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

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

eval202.0ms (1.4%)

Memory: 1.0MiB live, 153.7MiB allocated
Compiler: Compiled 32 777 to 2 465 computations (92.5% saved)

prune234.0ms (1.7%)

Memory

-30.8MiB live, 85.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	637	6	643
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	638	6	644

Accuracy

100.0%

Counts

644 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶	37.4%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	74.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
▶	45.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
▶	63.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
▶	45.4%	#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 292 to 158 computations (45.9% saved)

simplify754.0ms (5.4%)

Memory

10.1MiB live, 515.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	cost-diff	128	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
✓	cost-diff	512	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	cost-diff	512	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
✓	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	192	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	cost-diff	256	(neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓	cost-diff	1216	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))

Rules

21 922×	`lower-fma.f32`
21 908×	`lower-fma.f64`
3 598×	`lower-*.f32`
3 574×	`lower-*.f64`
3 050×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	760
0	105	759
1	244	742
2	872	703
3	4236	644
0	8197	621

Stop Event

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

Calls

Call 1

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

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

localize400.0ms (2.8%)

Memory

25.0MiB live, 788.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	72.7%	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	accuracy	44.6%	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	accuracy	63.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
✓	accuracy	100.0%	(.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	accuracy	95.1%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
✓	accuracy	45.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
✓	accuracy	45.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
✓	accuracy	94.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	accuracy	84.0%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓	accuracy	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
✓	accuracy	49.7%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))

Samples

148.0ms	170×	1	valid
138.0ms	86×	2	valid

Compiler

Compiled 679 to 54 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 62.0ms (27.4% of total)

ival-add: 61.0ms (27% of total)

adjust: 37.0ms (16.4% of total)

ival-div: 29.0ms (12.8% of total)

ival-exp: 20.0ms (8.8% of total)

ival-neg: 10.0ms (4.4% of total)

ival-sub: 8.0ms (3.5% of total)

exact: 1.0ms (0.4% of total)

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

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

series39.0ms (0.3%)

Memory

-25.0MiB live, 90.3MiB allocated

Counts

22 → 444

Calls

Call 1

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

Outputs
#<alt (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (* -1/2 x)) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (- x 1)) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (- x 1)) (* -1 (/ (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x))) eps))) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (- (* -1/2 (* eps (+ (* -1 x) (* 2 x)))) (* 1/2 x)) eps)>
#<alt (/ (- (* eps (- (* -1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)>
#<alt (/ (- (* eps (- (* eps (- (* 1/2 (* eps x)) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ x (* -2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x (pow eps 3))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/2 (/ x eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* 1/2 x)) eps)) (* -1/2 x)))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
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#<alt (* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>

Calls

111 calls:

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

simplify408.0ms (2.9%)

Memory

8.2MiB live, 878.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 926×	`lower-fma.f64`
14 926×	`lower-fma.f32`
5 032×	`lower-+.f64`
5 032×	`lower-+.f32`
4 688×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	661	10372
1	2188	9433
0	8279	8827

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

Calls

Call 1

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

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

rewrite444.0ms (3.1%)

Memory

4.3MiB live, 573.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 308×	`lower-*.f32`
4 284×	`lower-*.f64`
3 988×	`lower-fma.f32`
3 974×	`lower-fma.f64`
3 094×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	530
0	105	522
1	445	493
2	4434	493
0	8329	475

Stop Event

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

Counts

22 → 497

Calls

Call 1

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

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

eval228.0ms (1.6%)

Memory: 29.0MiB live, 258.0MiB allocated
Compiler: Compiled 39 700 to 2 893 computations (92.7% saved)

prune179.0ms (1.3%)

Memory

-33.9MiB live, 212.6MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	926	12	938
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	929	15	944

Accuracy

100.0%

Counts

944 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶	35.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	37.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
▶	75.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
	72.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (+.f64 (neg.f64 x) (fma.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (neg.f64 x)) #s(literal 0 binary64))))) #s(literal 1 binary64)))
▶	75.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
	40.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) #s(literal 1 binary64)))
✓	63.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
▶	73.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	54.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	20.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x)))))
✓	45.4%	#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 500 to 295 computations (41% saved)

simplify697.0ms (4.9%)

Memory

-3.1MiB live, 793.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
✓	cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps))))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	64	(fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))
✓	cost-diff	128	(+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64)))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x))
✓	cost-diff	384	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))

Rules

18 778×	`lower-fma.f32`
18 764×	`lower-fma.f64`
4 424×	`lower--.f32`
4 420×	`lower--.f64`
3 150×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1037
0	117	1019
1	277	1000
2	912	921
3	3750	860
0	8563	818

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (2.3%)

Memory

17.8MiB live, 809.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))
✓	accuracy	63.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
✓	accuracy	57.6%	#s(approx (+ (+ x 2) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	72.7%	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
✓	accuracy	44.6%	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	44.6%	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	96.3%	(fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))
✓	accuracy	89.5%	(.f64 x (.f64 eps eps))
✓	accuracy	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64)))
✓	accuracy	53.9%	#s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	64.6%	#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	63.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	92.7%	(/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)
✓	accuracy	83.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x))
✓	accuracy	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
✓	accuracy	49.7%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))

Samples

119.0ms	121×	1	valid
44.0ms	35×	2	valid
43.0ms	100×	0	valid

Compiler

Compiled 749 to 64 computations (91.5% saved)

Precisions

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

ival-mult: 69.0ms (41.2% of total)

ival-add: 33.0ms (19.7% of total)

adjust: 24.0ms (14.3% of total)

ival-exp: 13.0ms (7.8% of total)

ival-sub: 11.0ms (6.6% of total)

ival-div: 10.0ms (6% of total)

ival-neg: 6.0ms (3.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series40.0ms (0.3%)

Memory

4.7MiB live, 122.8MiB allocated

Counts

26 → 516

Calls

Call 1

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

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

Calls

129 calls:

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

simplify525.0ms (3.7%)

Memory

-16.0MiB live, 829.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 916×	`lower-fma.f64`
13 916×	`lower-fma.f32`
5 310×	`lower-*.f64`
5 310×	`lower-*.f32`
4 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	12024
1	2290	10719
0	8502	10073

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

Calls

Call 1

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

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

rewrite341.0ms (2.4%)

Memory

31.1MiB live, 558.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 188×	`lower-fma.f32`
5 174×	`lower-fma.f64`
4 950×	`lower-*.f32`
4 936×	`lower-*.f64`
2 222×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	770
0	117	747
1	551	717
2	5523	717
0	8139	691

Stop Event

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

Counts

26 → 370

Calls

Call 1

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

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

eval136.0ms (1%)

Memory: 15.3MiB live, 240.8MiB allocated
Compiler: Compiled 32 122 to 2 630 computations (91.8% saved)

prune105.0ms (0.7%)

Memory

-24.6MiB live, 250.9MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	918	12	930
Fresh	3	5	8
Picked	3	2	5
Done	0	2	2
Total	924	21	945

Accuracy

100.0%

Counts

945 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.0%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	34.2%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (.f64 x eps) x))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	35.1%	(.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
▶	72.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	38.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
	63.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (/.f64 (.f64 (.f64 (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 eps x x)))) eps) (-.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 eps x x))))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
▶	75.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
	62.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) #s(literal -1 binary64)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
	40.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) #s(literal 1 binary64)))
	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x))) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x))))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
✓	63.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
✓	73.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
▶	44.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	55.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x eps)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	54.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
▶	20.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x)))))
✓	45.4%	#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 887 to 441 computations (50.3% saved)

simplify456.0ms (3.2%)

Memory

14.1MiB live, 660.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(*.f64 x (exp.f64 (neg.f64 x)))
✓	cost-diff	0	#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	0	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))))
✓	cost-diff	0	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))
✓	cost-diff	0	(.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x))))
✓	cost-diff	0	(fma.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))) #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
✓	cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
✓	cost-diff	64	(fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))
✓	cost-diff	128	(+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64)))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x))

Rules

22 166×	`lower-fma.f32`
22 154×	`lower-fma.f64`
4 696×	`lower--.f32`
4 692×	`lower--.f64`
3 746×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1087
0	113	1069
1	272	1052
2	872	971
3	3471	926
0	8749	880

Stop Event

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

Calls

Call 1

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

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

localize363.0ms (2.6%)

Memory

-4.9MiB live, 516.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 x (exp.f64 (neg.f64 x)))
✓	accuracy	63.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x)))))
✓	accuracy	44.5%	#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))
✓	accuracy	72.7%	(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))))
✓	accuracy	47.2%	#s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	44.6%	#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	44.6%	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	99.7%	(.f64 eps (.f64 eps x))
✓	accuracy	96.3%	(.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x))))
✓	accuracy	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	53.9%	#s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))
✓	accuracy	100.0%	(*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))
✓	accuracy	63.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
✓	accuracy	58.1%	#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	57.6%	#s(approx (+ (+ x 2) x) #s(literal 2 binary64))
✓	accuracy	83.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x))
✓	accuracy	68.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
✓	accuracy	49.7%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))
✓	accuracy	47.2%	#s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))

Samples

111.0ms	121×	1	valid
79.0ms	35×	2	valid
38.0ms	100×	0	valid

Compiler

Compiled 748 to 64 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 63.0ms (33.6% of total)

adjust: 54.0ms (28.8% of total)

ival-add: 33.0ms (17.6% of total)

ival-exp: 13.0ms (6.9% of total)

ival-div: 10.0ms (5.3% of total)

ival-sub: 8.0ms (4.3% of total)

ival-neg: 6.0ms (3.2% of total)

exact: 1.0ms (0.5% of total)

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

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

series20.0ms (0.1%)

Memory

-9.9MiB live, 28.1MiB allocated

Counts

25 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* eps (* eps x))
1.0ms	x	@	-inf	(* x (exp (neg x)))
0.0ms	x	@	-inf	(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))
0.0ms	x	@	inf	(* x (exp (neg x)))
0.0ms	x	@	0	(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))

simplify394.0ms (2.8%)

Memory

41.8MiB live, 585.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 892×	`lower-fma.f64`
13 892×	`lower-fma.f32`
5 016×	`lower-*.f64`
5 016×	`lower-*.f32`
4 326×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	11650
1	2137	10447
2	7781	10447
0	8191	9822

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 488

Calls

Call 1

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

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

rewrite548.0ms (3.9%)

Memory

-23.6MiB live, 522.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`lower-*.f32`
4 802×	`lower-*.f64`
4 542×	`lower-fma.f32`
4 530×	`lower-fma.f64`
2 186×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	788
0	113	766
1	538	737
2	5379	737
0	8125	711

Stop Event

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

Counts

25 → 279

Calls

Call 1

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

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

eval129.0ms (0.9%)

Memory: 18.8MiB live, 213.2MiB allocated
Compiler: Compiled 26 312 to 2 116 computations (92% saved)

prune88.0ms (0.6%)

Memory

8.6MiB live, 179.8MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	770	10	780
Fresh	6	6	12
Picked	3	2	5
Done	0	4	4
Total	779	22	801

Accuracy

100.0%

Counts

801 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.5%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (.f64 eps x) x))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	20.3%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	22.0%	(.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))
✓	72.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 eps (.f64 eps x)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	38.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 (.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x)) (.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (fma.f64 x (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
	75.5%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps #s(approx (+ (neg x) (+ (* eps (+ (- 1 x) (+ (* x eps) x))) 0)) (fma.f64 eps (*.f64 eps x) eps)) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
	76.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps #s(approx (+ (neg x) (+ (* eps (+ (- 1 x) (+ (* x eps) x))) 0)) (.f64 eps (.f64 eps x))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64)))
	40.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))) #s(literal 1 binary64)))
	45.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(approx (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps))))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64))))
	45.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) (.f64 x #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))))
✓	63.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
✓	73.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
✓	44.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	26.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))) 1/2) 1) (.f64 eps (.f64 eps (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
	41.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
	45.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	54.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	44.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	11.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x #s(approx (exp (neg x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))))
	3.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x #s(approx (exp (neg x)) #s(literal 1 binary64)))))
✓	45.4%	#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 1 297 to 401 computations (69.1% saved)

regimes56.0ms (0.4%)

Memory

-15.4MiB live, 98.4MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

15.0ms	x
14.0ms	(-.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)))))
12.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
11.0ms	eps

Results

Accuracy	Segments	Branch
95.5%	2	`x`
100.0%	2	`eps`
100.0%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
100.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes90.0ms (0.6%)

Memory

-9.0MiB live, 72.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

64.0ms

eps

13.0ms

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

9.0ms

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

Results

Accuracy	Segments	Branch
94.8%	2	`eps`
95.9%	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))`
95.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes62.0ms (0.4%)

Memory

13.2MiB live, 52.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

34.0ms	x
9.0ms	eps
8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
93.5%	2	`eps`
85.6%	3	`x`
94.7%	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))`
94.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes47.0ms (0.3%)

Memory

17.7MiB live, 56.9MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

21.0ms	eps
9.0ms	x
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.6%	3	`x`
76.2%	1	`eps`
77.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
77.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes10.0ms (0.1%)

Memory

-28.9MiB live, 13.3MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
82.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-6.7MiB live, 31.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms	x
3.0ms	eps
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
71.3%	2	`eps`
76.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
76.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
73.3%	3	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes12.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`eps`
54.1%	1	`x`
54.1%	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))`
54.1%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes196.0ms (1.4%)

Memory

-14.7MiB live, 22.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

188.0ms	x
3.0ms	eps
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
53.6%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
53.6%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
48.8%	2	`eps`
53.9%	2	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes35.0ms (0.2%)

Memory

-16.4MiB live, 21.5MiB allocated

Accuracy

Total -27.6b remaining (-78.9%)

Threshold costs -27.6b (-78.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	eps
2.0ms	x
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
45.4%	1	`eps`
45.4%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
45.4%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
45.4%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000000000000284	2.0000000063469043

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000000000284

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000000000284

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch38.0ms (0.3%)

Memory

-3.2MiB live, 79.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.266008553048876e+128	2.09563433104352e+128
23.0ms	7.036056807721808e+59	4.936674822005232e+64

Samples

24.0ms

208×

valid

Compiler

Compiled 559 to 295 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.9% of total)

ival-div: 3.0ms (15.4% of total)

ival-exp: 3.0ms (15.4% of total)

ival-sub: 3.0ms (15.4% of total)

ival-add: 2.0ms (10.3% of total)

ival-neg: 2.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory

25.1MiB live, 64.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.266008553048876e+128	2.09563433104352e+128
23.0ms	2875.7876543667717	23429757530.31595

Samples

17.0ms

144×

valid

Compiler

Compiled 433 to 241 computations (44.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (28.5% of total)

ival-exp: 3.0ms (21.4% of total)

ival-div: 2.0ms (14.2% of total)

ival-sub: 2.0ms (14.2% of total)

ival-add: 1.0ms (7.1% of total)

ival-neg: 1.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory

4.9MiB live, 43.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.007189900042966266	0.0344697295014376

Samples

14.0ms	43×	1	valid
6.0ms	53×	0	valid

Compiler

Compiled 208 to 126 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 4.0ms (23.9% of total)

ival-sub: 3.0ms (17.9% of total)

ival-mult: 3.0ms (17.9% of total)

adjust: 2.0ms (12% of total)

ival-div: 2.0ms (12% of total)

ival-neg: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000000063469043	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch39.0ms (0.3%)

Memory

-66.5MiB live, 15.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	8.360114539045166e+99	1.4760932729921232e+105

Samples

30.0ms

144×

valid

Compiler

Compiled 214 to 141 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 17.0ms (64% of total)

ival-mult: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% of total)

ival-exp: 2.0ms (7.5% of total)

ival-add: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify51.0ms (0.4%)

Memory

9.4MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Rules

228×	`distribute-lft-neg-in_binary64`
130×	`neg-mul-1_binary64`
120×	`neg-sub0_binary64`
94×	`sub-neg_binary64`
88×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1505
1	208	1503
2	252	1493
3	304	1493
4	346	1493
5	424	1493
6	503	1493
7	575	1493
8	654	1493
9	728	1493
10	782	1493
11	813	1493
12	826	1493
13	829	1493

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4503599638629495/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1319999999999999976008449373316501336140590498022555387953152 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (+ ( (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))) (/.f64 (fma.f64 eps #s(approx (+ (neg x) (+ (* eps (+ (- 1 x) (+ (* x eps) x))) 0)) (.f64 eps (.f64 eps x))) #s(literal -1 binary64)) eps)))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 145000000000000001280670183853519349548044689881974726824226099513397868743086385280430292789738730709787466096621008698562576384 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))))
(if (<=.f64 x #s(literal 21000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 145000000000000001280670183853519349548044689881974726824226099513397868743086385280430292789738730709787466096621008698562576384 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (+ -1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))))
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Outputs
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(if (<=.f64 x #s(literal 1224979098644775/36028797018963968 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))) (.f64 x (.f64 eps eps)))) #s(literal 1 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* x (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))) 1) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 8499999999999999843774240599099942760187401255825653184953102566264734768572962440855806707197018112 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 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x #s(approx (exp (neg x)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

soundness1.1s (7.8%)

Memory

26.0MiB live, 1 014.5MiB allocated

Rules

16 366×	`lower-fma.f64`
16 366×	`lower-fma.f32`
14 926×	`lower-fma.f64`
14 926×	`lower-fma.f32`
13 916×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	11650
1	2137	10447
2	7781	10447
0	8191	9822
0	299	3116
1	975	2807
2	3409	2490
0	8370	2351
0	680	12024
1	2290	10719
0	8502	10073
0	661	10372
1	2188	9433
0	8279	8827

Stop Event

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

Compiler

Compiled 570 to 202 computations (64.6% saved)

preprocess343.0ms (2.4%)

Memory: 9.1MiB live, 127.2MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 048 to 272 computations (74% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.2%)

sample2.7s (19.3%)

preprocess316.0ms (2.2%)

explain352.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify323.0ms (2.3%)

localize81.0ms (0.6%)

series19.0ms (0.1%)

simplify581.0ms (4.1%)

rewrite470.0ms (3.3%)

eval202.0ms (1.4%)

prune234.0ms (1.7%)

simplify754.0ms (5.4%)

localize400.0ms (2.8%)

series39.0ms (0.3%)

simplify408.0ms (2.9%)

rewrite444.0ms (3.1%)

eval228.0ms (1.6%)

prune179.0ms (1.3%)

simplify697.0ms (4.9%)

localize323.0ms (2.3%)

series40.0ms (0.3%)

simplify525.0ms (3.7%)

rewrite341.0ms (2.4%)

eval136.0ms (1%)

prune105.0ms (0.7%)

simplify456.0ms (3.2%)

localize363.0ms (2.6%)

series20.0ms (0.1%)

simplify394.0ms (2.8%)

rewrite548.0ms (3.9%)

eval129.0ms (0.9%)

prune88.0ms (0.6%)

regimes56.0ms (0.4%)

regimes90.0ms (0.6%)

regimes62.0ms (0.4%)

regimes47.0ms (0.3%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes196.0ms (1.4%)

regimes35.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.3%)

bsearch27.0ms (0.2%)

bsearch26.0ms (0.2%)

bsearch0.0ms (0%)

bsearch39.0ms (0.3%)

simplify51.0ms (0.4%)

soundness1.1s (7.8%)

preprocess343.0ms (2.4%)

end0.0ms (0%)

Profiling