Metrics for NMSE Section 6.1 mentioned, A

analyze31.0ms (0.2%)

Memory

14.9MiB live, 52.0MiB 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)

sample2.6s (18.6%)

Memory

-120.8MiB live, 3 594.0MiB allocated

Samples

1.1s	2 228×	1	valid
793.0ms	6 028×	0	valid
119.0ms	903×	0	exit
2.0ms	13×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 530.0ms (30.4% of total)

ival-exp: 442.0ms (25.3% of total)

ival-div: 214.0ms (12.3% of total)

ival-sub: 174.0ms (10% of total)

ival-add: 149.0ms (8.5% of total)

ival-neg: 126.0ms (7.2% of total)

adjust: 85.0ms (4.9% of total)

exact: 13.0ms (0.7% of total)

ival-true: 8.0ms (0.5% of total)

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

Bogosity

preprocess412.0ms (2.9%)

Memory

12.9MiB live, 527.7MiB 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)

explain323.0ms (2.3%)

Memory

6.2MiB live, 608.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	5	(-3.507183762158729e-15 0.00035332054016252296)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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	70	0
`-.f64`	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`	nan-rescue	1	0
↳	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`	overflow	52
↳	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`	overflow	37
↳	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`	overflow	37
↳	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`	overflow	52
↳	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`	overflow	37
↳	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`	overflow	63
↳	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`	overflow	63
↳	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`	overflow	37

Confusion

	Predicted +	Predicted -
+	66	0
-	5	185

Precision

0.9295774647887324

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	5	0	185

Precision?

0.9295774647887324

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	380×	0	valid
51.0ms	132×	1	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 43.0ms (41.4% of total)

ival-exp: 23.0ms (22.1% of total)

ival-sub: 9.0ms (8.7% of total)

ival-div: 9.0ms (8.7% of total)

ival-add: 8.0ms (7.7% of total)

ival-neg: 6.0ms (5.8% of total)

adjust: 5.0ms (4.8% of total)

exact: 1.0ms (1% of total)

ival-true: 1.0ms (1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(/.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))

Status

Accuracy

Program

▶

75.0%

(/.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))

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify320.0ms (2.3%)

Memory

-1.4MiB live, 465.0MiB 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)

localize109.0ms (0.8%)

Memory

2.4MiB live, 170.8MiB 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 #s(literal 1 binary64) eps) x)
✓	accuracy	75.0%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Samples

40.0ms	190×	0	valid
30.0ms	66×	1	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-exp: 27.0ms (51.6% of total)

ival-mult: 7.0ms (13.4% of total)

ival-div: 5.0ms (9.6% of total)

ival-sub: 4.0ms (7.6% of total)

ival-neg: 3.0ms (5.7% of total)

ival-add: 3.0ms (5.7% of total)

adjust: 2.0ms (3.8% of total)

exact: 0.0ms (0% of total)

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

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

series19.0ms (0.1%)

Memory

3.8MiB live, 40.9MiB 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 #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 x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>

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)

rewrite429.0ms (3%)

Memory

21.9MiB live, 651.0MiB 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	85
0	34	85
1	131	80
2	932	79
0	8931	73

Stop Event

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

Counts

6 → 478

Calls

Call 1

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

simplify400.0ms (2.8%)

Memory

-25.9MiB live, 846.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 496×	`lower-fma.f64`
13 496×	`lower-fma.f32`
3 932×	`lower-*.f64`
3 932×	`lower-*.f32`
3 808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	2952
1	868	2574
2	2992	2247
0	8264	2101

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

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

eval88.0ms (0.6%)

Memory: 15.9MiB live, 242.0MiB allocated
Compiler: Compiled 31 545 to 2 443 computations (92.3% saved)

prune82.0ms (0.6%)

Memory

10.0MiB live, 224.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	611	9	620
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	612	9	621

Accuracy

100.0%

Counts

621 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.8%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
▶	72.4%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
	31.3%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
▶	36.8%	(/.f64 (-.f64 (+.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))
	34.4%	(/.f64 (-.f64 (.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 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	75.0%	(/.f64 #s(literal 1 binary64) (/.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))))))))
▶	98.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	55.5%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶	37.3%	#s(literal 1 binary64)

Compiler

Compiled 574 to 290 computations (49.5% saved)

simplify413.0ms (2.9%)

Memory

19.2MiB live, 754.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))
✓	cost-diff	1216	(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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.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 (+.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	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	1280	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓	cost-diff	0	(-.f64 (*.f64 x eps) x)
✓	cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	cost-diff	0	(+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

Rules

14 864×	`lower-fma.f32`
14 850×	`lower-fma.f64`
4 434×	`lower-+.f32`
4 416×	`lower-+.f64`
3 786×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1109
0	105	1107
1	248	1104
2	890	1035
3	5414	1008
0	8370	978

Stop Event

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

Calls

Call 1

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

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

localize586.0ms (4.2%)

Memory

-40.8MiB live, 865.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(.f64 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	92.5%	(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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓	accuracy	60.0%	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))
✓	accuracy	40.3%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	76.5%	(-.f64 (+.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	94.9%	(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	94.8%	(.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓	accuracy	88.8%	(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 x (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	58.6%	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(-.f64 (*.f64 x eps) x)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))

Samples

216.0ms	121×	1	valid
81.0ms	34×	2	valid
72.0ms	89×	1	exit
6.0ms	4×	3	valid
3.0ms	7×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 1 145 to 61 computations (94.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

const: 100.0ms (33% of total)

ival-mult: 72.0ms (23.7% of total)

adjust: 40.0ms (13.2% of total)

ival-add: 36.0ms (11.9% of total)

ival-div: 29.0ms (9.6% of total)

ival-exp: 12.0ms (4% of total)

ival-sub: 10.0ms (3.3% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series84.0ms (0.6%)

Memory

21.1MiB live, 93.1MiB allocated

Counts

25 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(+ (* x (* 1/2 (+ (+ (- -1 eps) (/ (+ eps 1) eps)) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* 1/2 (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))))))) 1)
9.0ms	x	@	inf	(exp (neg (* (+ 1 eps) x)))
6.0ms	eps	@	-inf	(+ (+ (- -1 eps) (/ (+ eps 1) eps)) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (+ (* x (* 1/6 (+ (* (+ eps 1) (* (+ eps 1) (+ (- -1 eps) (/ (+ eps 1) eps)))) (* (+ -1 eps) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))))))) (* 1/2 (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))))))
3.0ms	eps	@	0	(- (* x eps) x)
2.0ms	x	@	0	(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))

rewrite717.0ms (5.1%)

Memory

-1.7MiB live, 668.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 870×	`lower-fma.f32`
5 856×	`lower-fma.f64`
5 434×	`lower-*.f32`
5 400×	`lower-*.f64`
2 358×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	815
0	105	796
1	485	772
2	5632	772
0	8404	755

Stop Event

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

Counts

25 → 730

Calls

Call 1

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

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

simplify706.0ms (5%)

Memory

-5.8MiB live, 440.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 914×	`lower-fma.f64`
7 914×	`lower-fma.f32`
4 720×	`lower-+.f64`
4 720×	`lower-+.f32`
4 716×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1252	13314
1	4387	12120
2	7039	12069
0	8102	11389

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 575

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (neg x)) (exp (* -1 x)))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) 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 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(/ (+ (* -1/2 x) (* 1/2 x)) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps)))))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps)))))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps))))
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1
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x
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1
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(* (pow eps 2) (- (+ 1/2 (+ (* -2/3 x) (+ (* 2/3 (/ x (pow eps 2))) (* 1/2 (/ 1 eps))))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))
(* (pow eps 2) (+ 1/2 (* -2/3 x)))
(* (pow eps 2) (+ 1/2 (+ (* -2/3 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 2) (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 2/3 x) 1/2) eps)) 1/2) eps)) (* -2/3 x))))
(* (pow eps 2) (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 2/3 x) (+ 1/2 (* 1/2 (/ 1 eps)))) eps)) 1/2) eps)) (* -2/3 x))))
(/ (+ (* -1/2 x) (* 1/2 x)) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (+ (* eps (+ x (* -1 x))) (* x (- (* 2/3 x) 1/2)))))))) eps)
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(* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* x (+ 1/2 (* -2/3 x))) (/ x eps)))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ x eps) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))))))
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(* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 x)) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1) eps)))) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
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(- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)
(- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)
(- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)
(- (+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))) eps)
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)))))
(* (pow x 2) (- (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (+ (/ 1 (* eps (pow x 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2)))))) (/ eps (pow x 2))))
(* (pow x 2) (- (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (+ (/ 1 (* eps (pow x 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2)))))) (/ eps (pow x 2))))
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
1
(+ 1 (* 1/2 (* x (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)))))
(+ 1 (* x (+ (* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)) (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 3) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/2 (/ (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) x))))
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(* (pow x 3) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) x)) (+ (* 1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) (pow x 2))) (/ 1 (pow x 3))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* -1 (* (pow x 3) (+ (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/2 (/ (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))) (* 1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)) (/ 1 x)) x)) (* -1/2 (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) eps))
(/ (+ (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))) (* eps (+ 1 (* 1/2 (* x (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))))))) eps)
(/ (+ (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))) (* eps (+ 1 (+ (* 1/2 (* eps (* x (+ x (* -1 x))))) (* 1/2 (* x (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))))))))) eps)
(/ (+ (* 1/2 (* x (+ (* -1/2 x) (* 1/2 x)))) (* eps (+ 1 (+ (* 1/2 (* x (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))))) (* eps (+ (* 1/2 (* eps (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))) (* 1/2 (* x (+ x (* -1 x)))))))))) eps)
(* 1/2 (* (pow eps 2) (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))
(* (pow eps 2) (+ (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))) (* 1/2 (/ (* x (+ x (* -1 x))) eps))))
(* (pow eps 2) (+ (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))) (+ (* 1/2 (/ (* x (+ x (* -1 x))) eps)) (+ (* 1/2 (/ (* x (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))) (pow eps 2))) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))) (+ (* 1/2 (/ (* x (+ x (* -1 x))) eps)) (+ (* 1/2 (/ (* x (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))) (pow eps 2))) (+ (* 1/2 (/ (* x (+ (* -1/2 x) (* 1/2 x))) (pow eps 3))) (/ 1 (pow eps 2)))))))
(* 1/2 (* (pow eps 2) (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))
(* (pow eps 2) (+ (* -1/2 (/ (* x (+ x (* -1 x))) eps)) (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (* x (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1)))) eps)) (* 1/2 (* x (+ x (* -1 x))))) eps)) (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (* x (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1)) eps)) (* 1/2 (* x (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1))))) eps)) (* 1/2 (* x (+ x (* -1 x))))) eps)) (* 1/2 (* x (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))))
(* 1/2 (/ (+ (* -1/2 x) (* 1/2 x)) eps))
(/ (+ (* 1/2 (* eps (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))))) (* 1/2 (+ (* -1/2 x) (* 1/2 x)))) eps)
(/ (+ (* 1/2 (+ (* -1/2 x) (* 1/2 x))) (* eps (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))))))) eps)
(/ (+ (* 1/2 (+ (* -1/2 x) (* 1/2 x))) (* eps (+ (* 1/2 (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))) (* 1/2 (+ x (* -1 x)))))))) eps)
(* 1/2 (* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (pow eps 2) (+ (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))) (* 1/2 (/ (+ x (* -1 x)) eps))))
(* (pow eps 2) (+ (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))) (+ (* 1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (/ (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) (pow eps 2))))))
(* (pow eps 2) (+ (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))) (+ (* 1/2 (/ (+ x (* -1 x)) eps)) (+ (* 1/2 (/ (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) (pow eps 2))) (* 1/2 (/ (+ (* -1/2 x) (* 1/2 x)) (pow eps 3)))))))
(* 1/2 (* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (pow eps 2) (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1) eps)) (* 1/2 (+ x (* -1 x)))) eps)) (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (* 1/2 (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1))) eps)) (* 1/2 (+ x (* -1 x)))) eps)) (* 1/2 (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))))
(* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps))
(+ (* 1/2 (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)))
(+ (* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)) (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))))))
(+ (* 1/2 (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps)) (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))))))
(* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/2 (/ (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) x))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) x)) (* 1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) (pow x 2))))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) x)) (* 1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) (pow x 2))))))
(* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))) x)) (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (* 1/2 (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))) x)) (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)) eps) x)) (* 1/2 (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))) x)) (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps))))))))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps))))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))))))
(- 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)))
(/ (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))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
4
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (+ (* eps (+ 1 (+ x (* -1 x)))) (* x (- (* 2/3 x) 1/2)))))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* 1/2 x) (+ (* eps (+ 1 (+ x (+ (* -1 x) (* eps (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))))) (* x (- (* 2/3 x) 1/2)))))))) 1) eps)
(* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ 1 eps) (/ x eps))))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ 1 eps) (+ (/ x eps) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2))))))))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (* x (+ 1/2 (* -2/3 x))) (+ (/ 1 eps) (+ (/ x eps) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2))))))))))) (/ 1 (pow eps 3))))
(* (pow eps 2) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 x)) 1) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2)))) 1) eps)))) 1) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* 1/2 x) (* x (- (* 2/3 x) 1/2))))) 1) eps)))) 1) eps)) (+ (* 1/2 x) (* x (+ 1/2 (* -2/3 x))))))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (+ (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (+ (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (+ (* 1/2 (/ (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)) x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) (pow x 2))))))
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps)))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (- (/ 1 eps) eps))))) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* -1/2 (* x (* (+ 1 eps) (- (/ 1 eps) eps))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* x (+ (* -1/2 (* (+ 1 eps) (- (/ 1 eps) eps))) (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* 1/6 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* (pow x 2) (+ (* -1/2 (/ (* (+ 1 eps) (- (/ 1 eps) eps)) x)) (* 1/6 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))))
(* -1/2 (/ x eps))
(/ (+ (* -1/2 x) (* eps (* x (- (* 2/3 x) 1/2)))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* 1/2 (* eps x)) (* x (- (* 2/3 x) 1/2))))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* eps (+ (* 1/2 x) (* eps (* x (+ 1/2 (* -2/3 x)))))) (* x (- (* 2/3 x) 1/2))))) eps)
(* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x eps)) (+ (* x (+ 1/2 (* -2/3 x))) (/ (* x (- (* 2/3 x) 1/2)) (pow eps 2))))))
(* (pow eps 2) (* x (+ 1/2 (* -2/3 x))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 2/3 x) 1/2)) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* x (- (* 2/3 x) 1/2))) eps)) (* -1/2 x)) eps)) (* x (+ 1/2 (* -2/3 x)))))

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

eval527.0ms (3.7%)

Memory: 38.8MiB live, 466.9MiB allocated
Compiler: Compiled 94 339 to 4 928 computations (94.8% saved)

prune187.0ms (1.3%)

Memory

-43.4MiB live, 465.6MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 407	21	1 428
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	1 413	24	1 437

Accuracy

100.0%

Counts

1 437 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
	74.4%	(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
	36.3%	(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
▶	61.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
	60.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
	62.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
	72.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
	38.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
	33.2%	(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
	47.4%	(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
	51.5%	(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
	31.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	75.0%	(/.f64 #s(literal 1 binary64) (/.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))))))))
	39.0%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
	36.2%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
	56.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
▶	80.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	60.3%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶	34.6%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
	55.5%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	14.1%	(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
▶	69.4%	(exp.f64 (neg.f64 x))
✓	37.3%	#s(literal 1 binary64)
▶	20.6%	#s(literal 0 binary64)

Compiler

Compiled 1 049 to 613 computations (41.6% saved)

simplify297.0ms (2.1%)

Memory

2.1MiB live, 597.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))
✓	cost-diff	384	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
✓	cost-diff	832	(.f64 (.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(.f64 x (.f64 eps eps))
✓	cost-diff	0	(.f64 (.f64 x (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
✓	cost-diff	192	(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(exp.f64 (*.f64 x eps))
✓	cost-diff	0	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

Rules

14 686×	`lower-fma.f32`
14 682×	`lower-fma.f64`
3 048×	`lower-*.f32`
3 028×	`lower-*.f64`
1 936×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	225
0	59	225
1	125	221
2	374	213
3	1389	213
4	4141	201
5	7012	201
0	8164	191

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (1.1%)

Memory

-2.9MiB live, 271.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))))
✓	accuracy	92.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
✓	accuracy	92.5%	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
✓	accuracy	72.4%	(.f64 (.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	99.9%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))
✓	accuracy	91.0%	(.f64 x (.f64 eps eps))
✓	accuracy	89.6%	(.f64 (.f64 x (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))
✓	accuracy	100.0%	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))

Samples

79.0ms	237×	0	valid
10.0ms	19×	1	valid

Compiler

Compiled 233 to 36 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 19.0ms (40.2% of total)

ival-add: 10.0ms (21.2% of total)

ival-exp: 6.0ms (12.7% of total)

ival-div: 4.0ms (8.5% of total)

const: 4.0ms (8.5% of total)

adjust: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series23.0ms (0.2%)

Memory

9.4MiB live, 49.3MiB allocated

Counts

18 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* 1/2 (+ (+ (- -1 eps) (/ (+ eps 1) eps)) (* (* eps eps) (+ x (/ 1 eps)))))
1.0ms	eps	@	0	(* 1/2 (* (* x (* eps eps)) (* x (+ 1/2 (+ (* x -2/3) 1/2)))))
1.0ms	x	@	0	(* 1/2 (* (* x (* eps eps)) (* x (+ 1/2 (+ (* x -2/3) 1/2)))))
1.0ms	x	@	inf	(* 1/2 (* (* x (* eps eps)) (* x (+ 1/2 (+ (* x -2/3) 1/2)))))
1.0ms	x	@	-inf	(* 1/2 (* (* x (* eps eps)) (* x (+ 1/2 (+ (* x -2/3) 1/2)))))

rewrite334.0ms (2.4%)

Memory

31.3MiB live, 775.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 092×	`lower-fma.f32`
6 088×	`lower-fma.f64`
3 934×	`lower-*.f32`
3 914×	`lower-*.f64`
3 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	173
0	58	173
1	242	169
2	2164	157
0	8907	146

Stop Event

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

Counts

18 → 450

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (.f64 x eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))))) (neg.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (.f64 x eps)))) (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x (neg.f64 eps))) (exp.f64 (.f64 x eps)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 (neg.f64 eps) x)) (exp.f64 (.f64 x eps)))
(fma.f64 (exp.f64 (.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x eps)))
(fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))) (exp.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (/.f64 eps #s(literal 2 binary64))))) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x (/.f64 eps #s(literal 2 binary64))))) (exp.f64 (*.f64 x eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (.f64 x (+.f64 eps eps)))) (-.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (.f64 x (+.f64 eps eps))))) (neg.f64 (-.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (fma.f64 (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64))
(.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 x (.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/3 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/3 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x) (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) x) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)) x)

simplify486.0ms (3.4%)

Memory

-4.3MiB live, 1 040.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 790×	`lower-fma.f64`
18 790×	`lower-fma.f32`
6 656×	`lower-+.f64`
6 656×	`lower-+.f32`
5 106×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	3447
1	1040	3299
2	3245	3149
0	8165	2952

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

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

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

eval106.0ms (0.8%)

Memory: -24.4MiB live, 247.3MiB allocated
Compiler: Compiled 21 756 to 2 109 computations (90.3% saved)

prune100.0ms (0.7%)

Memory

13.7MiB live, 256.0MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	801	18	819
Fresh	5	13	18
Picked	2	3	5
Done	0	1	1
Total	808	35	843

Accuracy

100.0%

Counts

843 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
	60.9%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
	53.0%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
	61.9%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
	36.3%	(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
	28.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
▶	38.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
	60.4%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
	60.5%	(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
✓	61.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
	60.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
▶	72.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
	38.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
	64.9%	(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
	47.4%	(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
	31.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	63.0%	(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
	2.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
	75.0%	(/.f64 #s(literal 1 binary64) (/.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))))))))
▶	36.9%	(-.f64 #s(literal 1 binary64) x)
	28.3%	(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
	39.0%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
	31.6%	(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
	36.2%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
	21.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
▶	80.6%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 eps (neg.f64 x)))))
	56.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	60.3%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	23.7%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
	55.5%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	33.8%	(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
	14.1%	(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
✓	69.4%	(exp.f64 (neg.f64 x))
✓	37.3%	#s(literal 1 binary64)
✓	20.6%	#s(literal 0 binary64)

Compiler

Compiled 1 363 to 784 computations (42.5% saved)

simplify604.0ms (4.3%)

Memory

20.2MiB live, 579.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	cost-diff	384	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 x (*.f64 x eps))) eps x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))
✓	cost-diff	0	(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
✓	cost-diff	128	(+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 x (.f64 eps eps))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(exp.f64 (*.f64 x eps))
✓	cost-diff	0	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 eps (neg.f64 x))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 eps (neg.f64 x)))))

Rules

14 680×	`lower-fma.f32`
14 666×	`lower-fma.f64`
3 966×	`lower-+.f32`
3 960×	`lower-+.f64`
3 020×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	380
0	76	384
1	186	384
2	562	346
3	1959	346
4	4364	346
5	7841	346
0	8240	320

Stop Event

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

Calls

Call 1

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

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

localize515.0ms (3.7%)

Memory

-2.8MiB live, 350.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.7%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
✓	accuracy	91.0%	(.f64 x (.f64 eps eps))
✓	accuracy	78.2%	(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))
✓	accuracy	70.1%	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	99.8%	(.f64 x (.f64 x eps))
✓	accuracy	98.5%	(fma.f64 (.f64 eps (.f64 x (*.f64 x eps))) eps x)
✓	accuracy	97.0%	(.f64 eps (.f64 x (*.f64 x eps)))
✓	accuracy	90.8%	(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps)))
✓	accuracy	93.7%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
✓	accuracy	91.0%	(.f64 x (.f64 eps eps))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 eps (neg.f64 x)))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))
✓	accuracy	100.0%	(exp.f64 (*.f64 eps (neg.f64 x)))

Samples

122.0ms	130×	0	valid
68.0ms	73×	1	valid
20.0ms	51×	1	exit
2.0ms	2×	2	valid

Compiler

Compiled 406 to 47 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 75.0ms (40.8% of total)

ival-sub: 25.0ms (13.6% of total)

ival-div: 23.0ms (12.5% of total)

ival-exp: 20.0ms (10.9% of total)

ival-add: 16.0ms (8.7% of total)

const: 13.0ms (7.1% of total)

adjust: 10.0ms (5.4% of total)

ival-neg: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series43.0ms (0.3%)

Memory

-1.0MiB live, 117.3MiB allocated

Counts

23 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(+ (* 1/2 (* eps eps)) (+ (* (* (+ 1 eps) (+ 1 eps)) (+ (* (* x -1/6) (+ 1 eps)) 1/2)) (* 1/6 (* eps (* x (* eps eps))))))
3.0ms	x	@	-inf	(+ (* x (* 1/2 (+ (* x (+ (* 1/2 (* eps eps)) (+ (* (* (+ 1 eps) (+ 1 eps)) (+ (* (* x -1/6) (+ 1 eps)) 1/2)) (* 1/6 (* eps (* x (* eps eps))))))) (+ eps (- -1 eps))))) 1)
2.0ms	x	@	-inf	(* 1/2 (* x (* eps eps)))
1.0ms	x	@	0	(+ (* 1/2 (* eps eps)) (+ (* (* (+ 1 eps) (+ 1 eps)) (+ (* (* x -1/6) (+ 1 eps)) 1/2)) (* 1/6 (* eps (* x (* eps eps))))))
1.0ms	eps	@	0	(+ (* x (* 1/2 (+ (* x (+ (* 1/2 (* eps eps)) (+ (* (* (+ 1 eps) (+ 1 eps)) (+ (* (* x -1/6) (+ 1 eps)) 1/2)) (* 1/6 (* eps (* x (* eps eps))))))) (+ eps (- -1 eps))))) 1)

rewrite393.0ms (2.8%)

Memory

-9.0MiB live, 669.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 290×	`lower-*.f32`
5 262×	`lower-*.f64`
4 436×	`lower-fma.f32`
4 422×	`lower-fma.f64`
3 084×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	245
0	76	237
1	337	212
2	2960	212
0	8588	205

Stop Event

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

Counts

23 → 546

Calls

Call 1

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

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

simplify369.0ms (2.6%)

Memory

-30.4MiB live, 792.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 092×	`lower-fma.f64`
10 092×	`lower-fma.f32`
5 268×	`lower-*.f64`
5 268×	`lower-*.f32`
4 178×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	5426
1	1967	4943
0	8025	4581

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 489

Calls

Call 1

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

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

eval171.0ms (1.2%)

Memory: 37.4MiB live, 461.7MiB allocated
Compiler: Compiled 39 667 to 3 403 computations (91.4% saved)

prune142.0ms (1%)

Memory

-0.3MiB live, 404.1MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1 124	11	1 135
Fresh	5	21	26
Picked	4	1	5
Done	0	4	4
Total	1 133	37	1 170

Accuracy

100.0%

Counts

1 170 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
	47.8%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
	60.9%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
	53.0%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
	61.9%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
	36.3%	(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
	28.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
	51.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
	60.4%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
	60.5%	(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
✓	61.1%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
	60.9%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
	47.4%	(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
	37.4%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
	31.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	27.1%	(/.f64 (+.f64 eps (/.f64 (.f64 (.f64 (fma.f64 eps (.f64 x (.f64 x (.f64 eps eps))) x) (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 eps eps)))) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 eps (.f64 x (.f64 x (*.f64 eps eps)))) x))) eps)
	51.8%	(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
	2.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
	75.0%	(/.f64 #s(literal 1 binary64) (/.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))))))))
✓	36.9%	(-.f64 #s(literal 1 binary64) x)
	9.3%	(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
	8.6%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
	34.1%	(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
	28.3%	(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
	80.6%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
	39.0%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
	31.6%	(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
	21.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
	56.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	23.7%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
	55.5%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	48.5%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
	33.8%	(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
	2.9%	(neg.f64 x)
✓	69.4%	(exp.f64 (neg.f64 x))
✓	37.3%	#s(literal 1 binary64)
✓	20.6%	#s(literal 0 binary64)

Compiler

Compiled 1 916 to 695 computations (63.7% saved)

regimes146.0ms (1%)

Memory

7.4MiB live, 166.9MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (+.f64 eps (/.f64 (.f64 (.f64 (fma.f64 eps (.f64 x (.f64 x (.f64 eps eps))) x) (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 eps eps)))) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 eps (.f64 x (.f64 x (*.f64 eps eps)))) x))) eps)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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)))
(/.f64 (-.f64 (+.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 (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 (/.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 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 eps (neg.f64 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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(literal 1 binary64) (/.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))))))))

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

Calls

4 calls:

95.0ms	eps
17.0ms	x
16.0ms	(/.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))
15.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`
98.6%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
98.6%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes70.0ms (0.5%)

Memory

-8.2MiB live, 112.1MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (+.f64 eps (/.f64 (.f64 (.f64 (fma.f64 eps (.f64 x (.f64 x (.f64 eps eps))) x) (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 eps eps)))) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 eps (.f64 x (.f64 x (*.f64 eps eps)))) x))) eps)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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)))
(/.f64 (-.f64 (+.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 (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 (/.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 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (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 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 eps (neg.f64 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

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

Calls

4 calls:

20.0ms	(-.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)))))
17.0ms	x
16.0ms	eps
14.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.9%	3	`x`
99.6%	2	`eps`
99.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
99.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes44.0ms (0.3%)

Memory

0.2MiB live, 76.3MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (+.f64 eps (/.f64 (.f64 (.f64 (fma.f64 eps (.f64 x (.f64 x (.f64 eps eps))) x) (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 eps eps)))) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 eps (.f64 x (.f64 x (*.f64 eps eps)))) x))) eps)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #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 x (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))

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

Calls

3 calls:

16.0ms

eps

14.0ms

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

11.0ms

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

Results

Accuracy	Segments	Branch
98.7%	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))`
98.7%	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)))))`
98.6%	2	`eps`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes43.0ms (0.3%)

Memory

-23.0MiB live, 63.0MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(/.f64 (+.f64 eps (/.f64 (.f64 (.f64 (fma.f64 eps (.f64 x (.f64 x (.f64 eps eps))) x) (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 eps eps)))) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 eps (.f64 x (.f64 x (*.f64 eps eps)))) x))) eps)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 #s(literal -1/6 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 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))

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

Calls

3 calls:

16.0ms

eps

15.0ms

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

11.0ms

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

Results

Accuracy	Segments	Branch
93.1%	2	`eps`
94.3%	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))`
94.3%	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)

regimes48.0ms (0.3%)

Memory

31.1MiB live, 68.7MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 eps eps)) #s(literal -1/3 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 eps))) eps) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (.f64 (.f64 x x) #s(literal -2/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps)
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64))
(/.f64 (+.f64 eps (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps (.f64 x (.f64 x eps))) eps x))) eps)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 x (*.f64 eps eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal 0 binary64)) eps)
(fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 x (/.f64 x eps)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/12 binary64))))
(.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (.f64 (*.f64 eps eps) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (*.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (fma.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal -1/2 binary64) (.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) eps)
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (fma.f64 x (*.f64 eps eps) eps))) #s(literal 1 binary64))

Outputs

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

(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))) eps)

#s(literal 0 binary64)

Calls

4 calls:

15.0ms	eps
12.0ms	x
9.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
9.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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
86.6%	3	`x`
74.4%	1	`eps`
76.4%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
76.4%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes13.0ms (0.1%)

Memory

-22.4MiB live, 15.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))) eps)

#s(literal 0 binary64)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))

#s(literal 0 binary64)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

19 → 4

Calls

Call 1

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

Outputs
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
#s(literal 0 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
#s(literal 0 binary64)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-25.8MiB live, 19.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))

Calls

4 calls:

23.0ms	x
4.0ms	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)))))
3.0ms	(/.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
73.6%	2	`eps`
74.9%	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))`
74.9%	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)))))`
76.5%	4	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes12.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps))))
#s(literal 1 binary64)
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.3%	3	`x`
60.7%	2	`eps`
65.0%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
65.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-23.8MiB live, 15.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)

Calls

3 calls:

19.0ms

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
53.0%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
53.0%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
64.9%	2	`x`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)

Outputs
(-.f64 #s(literal 1 binary64) x)
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
37.3%	1	`eps`
55.4%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(neg.f64 x)

Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-23.7MiB live, 15.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
20.6%	1	`eps`
20.6%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
20.6%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
20.6%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch25.0ms (0.2%)

Memory

17.5MiB live, 56.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.003417397673564201	0.415303577160876

Samples

12.0ms	112×	0	valid
3.0ms	26×	0	exit

Compiler

Compiled 209 to 164 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (26.3% of total)

ival-div: 2.0ms (17.5% of total)

ival-exp: 2.0ms (17.5% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	492.82765219102936	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch56.0ms (0.4%)

Memory

-6.3MiB live, 74.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2866473944819282e+251	3.968741408031656e+252
33.0ms	0.0958399353080369	50.29992301779685

Samples

19.0ms	182×	0	valid
18.0ms	58×	1	valid

Compiler

Compiled 478 to 314 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 7.0ms (23% of total)

ival-exp: 7.0ms (23% of total)

ival-sub: 4.0ms (13.1% of total)

ival-div: 4.0ms (13.1% of total)

ival-neg: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

adjust: 2.0ms (6.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.2%)

Memory

15.4MiB live, 52.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2866473944819282e+251	3.968741408031656e+252
27.0ms	50.29992301779685	824.9056007794771

Samples

15.0ms	46×	1	valid
7.0ms	66×	0	valid

Compiler

Compiled 426 to 283 computations (33.6% saved)

Precisions

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

ival-exp: 6.0ms (31% of total)

ival-mult: 4.0ms (20.7% of total)

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

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

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

adjust: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2866473944819282e+251	3.968741408031656e+252
1.0ms	50.29992301779685	824.9056007794771

Compiler

Compiled 370 to 255 computations (31.1% saved)

bsearch46.0ms (0.3%)

Memory

-6.6MiB live, 75.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.2866473944819282e+251	3.968741408031656e+252
19.0ms	7.865607552365587e+109	4.3989963820829843e+111
22.0ms	824.9056007794771	287354554.3961509

Samples

31.0ms

256×

valid

Compiler

Compiled 411 to 309 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 6.0ms (26.6% of total)

ival-exp: 5.0ms (22.2% of total)

ival-div: 4.0ms (17.8% of total)

ival-sub: 3.0ms (13.3% of total)

ival-add: 2.0ms (8.9% of total)

ival-neg: 2.0ms (8.9% 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	492.82765219102936	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch56.0ms (0.4%)

Memory

7.7MiB live, 84.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	824.9056007794771	287354554.3961509
28.0ms	-2.2840064150258737e-13	-3.507183762158729e-15

Samples

22.0ms	78×	1	valid
17.0ms	142×	0	valid
2.0ms	4×	2	valid

Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-exp: 8.0ms (23.4% of total)

ival-mult: 7.0ms (20.5% of total)

ival-div: 6.0ms (17.6% of total)

ival-sub: 4.0ms (11.7% of total)

adjust: 3.0ms (8.8% of total)

ival-neg: 3.0ms (8.8% of total)

ival-add: 3.0ms (8.8% of total)

exact: 0.0ms (0% of total)

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

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

bsearch19.0ms (0.1%)

Memory

-10.2MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0958399353080369	50.29992301779685

Samples

10.0ms	30×	1	valid
4.0ms	34×	0	valid

Compiler

Compiled 170 to 136 computations (20% saved)

Precisions

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

ival-exp: 3.0ms (24.6% of total)

ival-mult: 3.0ms (24.6% of total)

ival-sub: 1.0ms (8.2% of total)

adjust: 1.0ms (8.2% of total)

ival-div: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	824.9056007794771	287354554.3961509

Compiler

Compiled 160 to 132 computations (17.5% saved)

bsearch43.0ms (0.3%)

Memory

-41.2MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.0958399353080369	50.29992301779685

Samples

5.0ms	16×	1	valid
3.0ms	32×	0	valid

Compiler

Compiled 114 to 96 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (29.2% of total)

ival-exp: 2.0ms (29.2% of total)

ival-sub: 1.0ms (14.6% of total)

ival-add: 1.0ms (14.6% of total)

ival-div: 1.0ms (14.6% of total)

adjust: 1.0ms (14.6% of total)

ival-neg: 1.0ms (14.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	824.9056007794771	287354554.3961509

Compiler

Compiled 106 to 96 computations (9.4% saved)

simplify42.0ms (0.3%)

Memory

1.2MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

370×	`distribute-lft-neg-in_binary64`
182×	`neg-mul-1_binary64`
168×	`neg-sub0_binary64`
144×	`distribute-rgt-neg-in_binary64`
130×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	374
1	169	374
2	217	368
3	273	368
4	321	368
5	428	368
6	587	368
7	740	368
8	887	368
9	1002	368
10	1064	368
11	1087	368
12	1091	368

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 0 binary64)) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 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 500 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 eps eps))))) eps) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 51 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 51 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 47000 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 79999999999999998548069657507198462917741207714625369983667186959192580435040426385646427395145101410106867712 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))) #s(literal 0 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 500 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(if (<=.f64 x #s(literal -4456584141427369/19807040628566084398385987584 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps)))) (if (<=.f64 x #s(literal 840 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 840 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 840 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.f64 eps #s(literal 7385903388887613/18014398509481984 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 0 binary64)) (exp.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 500 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps 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 500 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 eps eps))))) eps) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (fma.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 x eps)) (neg.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64)) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 eps eps))))) eps) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 51 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (*.f64 eps eps))))) eps) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 51 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 47000 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 79999999999999998548069657507198462917741207714625369983667186959192580435040426385646427395145101410106867712 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 3899999999999999654122964388155117574239446892108903927424711145060245005135998154556156702044689757735374216263259664252871396815977857845996939359409665249085772261246389788223221494425236694041496141042720375937501545181555493117882441225457520082944 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))) #s(literal 0 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 500 binary64)) #s(literal 1 binary64) (.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 500 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(if (<=.f64 x #s(literal -4456584141427369/19807040628566084398385987584 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps)))) (if (<=.f64 x #s(literal 840 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 840 binary64)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 840 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.4s (9.8%)

Memory

28.0MiB live, 1 160.0MiB allocated

Rules

18 790×	`lower-fma.f64`
18 790×	`lower-fma.f32`
13 496×	`lower-fma.f64`
13 496×	`lower-fma.f32`
10 092×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	245
0	76	237
1	337	212
2	2960	212
0	8588	205
0	546	5426
1	1967	4943
0	8025	4581
0	269	2952
1	868	2574
2	2992	2247
0	8264	2101
0	307	3447
1	1040	3299
2	3245	3149
0	8165	2952
0	1252	13314
1	4387	12120
2	7039	12069
0	8102	11389

Stop Event

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

Compiler

Compiled 857 to 449 computations (47.6% saved)

preprocess128.0ms (0.9%)

Memory: 42.0MiB live, 231.0MiB allocated
Compiler: Compiled 852 to 284 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.2%)

sample2.6s (18.6%)

preprocess412.0ms (2.9%)

explain323.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify320.0ms (2.3%)

localize109.0ms (0.8%)

series19.0ms (0.1%)

rewrite429.0ms (3%)

simplify400.0ms (2.8%)

eval88.0ms (0.6%)

prune82.0ms (0.6%)

simplify413.0ms (2.9%)

localize586.0ms (4.2%)

series84.0ms (0.6%)

rewrite717.0ms (5.1%)

simplify706.0ms (5%)

eval527.0ms (3.7%)

prune187.0ms (1.3%)

simplify297.0ms (2.1%)

localize162.0ms (1.1%)

series23.0ms (0.2%)

rewrite334.0ms (2.4%)

simplify486.0ms (3.4%)

eval106.0ms (0.8%)

prune100.0ms (0.7%)

simplify604.0ms (4.3%)

localize515.0ms (3.7%)

series43.0ms (0.3%)

rewrite393.0ms (2.8%)

simplify369.0ms (2.6%)

eval171.0ms (1.2%)

prune142.0ms (1%)

regimes146.0ms (1%)

regimes70.0ms (0.5%)

regimes44.0ms (0.3%)

regimes43.0ms (0.3%)

regimes48.0ms (0.3%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0%)

regimes34.0ms (0.2%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes24.0ms (0.2%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

bsearch25.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch56.0ms (0.4%)

bsearch31.0ms (0.2%)

bsearch2.0ms (0%)

bsearch46.0ms (0.3%)

bsearch0.0ms (0%)

bsearch56.0ms (0.4%)

bsearch19.0ms (0.1%)

bsearch1.0ms (0%)

bsearch43.0ms (0.3%)

bsearch1.0ms (0%)

simplify42.0ms (0.3%)

soundness1.4s (9.8%)

preprocess128.0ms (0.9%)

end0.0ms (0%)

Profiling