Metrics for NMSE Section 6.1 mentioned, A

analyze51.0ms (0.4%)

Memory

1.2MiB live, 39.3MiB 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)

sample2.4s (16.7%)

Memory

50.7MiB live, 3 848.3MiB allocated

Samples

916.0ms	2 313×	1	valid
784.0ms	5 943×	0	valid
137.0ms	987×	0	exit
3.0ms	20×	1	exit

Precisions

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

ival-exp: 343.0ms (22.4% of total)

ival-mult: 338.0ms (22.1% of total)

ival-sub: 260.0ms (17% of total)

ival-div: 222.0ms (14.5% of total)

ival-neg: 136.0ms (8.9% of total)

ival-add: 124.0ms (8.1% of total)

adjust: 85.0ms (5.6% of total)

exact: 11.0ms (0.7% of total)

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

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

Bogosity

preprocess427.0ms (3%)

Memory

-12.1MiB live, 476.5MiB 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)

explain344.0ms (2.4%)

Memory

-4.6MiB live, 649.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
65	4	(-6.744998250855206e-60 0.0028472790919747393)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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	69	0

Confusion

	Predicted +	Predicted -
+	65	0
-	4	187

Precision

0.9420289855072463

Recall

1.0

Confusion?

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

Precision?

0.9420289855072463

Recall?

1.0

Freqs

test

number	freq
0	187
1	69

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms	382×	0	valid
47.0ms	130×	1	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

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

ival-exp: 19.0ms (25.5% of total)

ival-mult: 15.0ms (20.2% of total)

ival-add: 10.0ms (13.4% of total)

ival-sub: 9.0ms (12.1% of total)

ival-div: 9.0ms (12.1% of total)

ival-neg: 6.0ms (8.1% of total)

adjust: 5.0ms (6.7% of total)

exact: 1.0ms (1.3% of total)

ival-true: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

75.4%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify293.0ms (2%)

Memory

-28.4MiB live, 575.2MiB 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)

localize80.0ms (0.6%)

Memory

18.3MiB live, 172.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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	75.4%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.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

29.0ms	191×	0	valid
23.0ms	65×	1	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

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

ival-exp: 9.0ms (24.1% of total)

ival-sub: 8.0ms (21.5% of total)

ival-mult: 7.0ms (18.8% of total)

ival-div: 5.0ms (13.4% of total)

ival-neg: 3.0ms (8% of total)

ival-add: 3.0ms (8% of total)

adjust: 2.0ms (5.4% 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

1.8MiB live, 38.4MiB 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 (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))>
#<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 (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<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>
#<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 (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(neg (* (- 1 eps) x))
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)

rewrite349.0ms (2.4%)

Memory

26.8MiB live, 633.6MiB 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	79
0	34	79
1	131	75
2	932	73
0	8931	67

Stop Event

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

Counts

6 → 435

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

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

simplify770.0ms (5.3%)

Memory

-55.3MiB live, 779.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 834×	`lower-fma.f64`
11 834×	`lower-fma.f32`
3 970×	`lower-*.f64`
3 970×	`lower-*.f32`
3 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	2720
1	830	2409
2	2837	2108
3	7911	2108
0	8015	1965

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

eval143.0ms (1%)

Memory: -7.7MiB live, 146.4MiB allocated
Compiler: Compiled 29 439 to 2 290 computations (92.2% saved)

prune148.0ms (1%)

Memory

-30.9MiB live, 172.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	568	9	577
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	569	9	578

Accuracy

100.0%

Counts

578 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps))))) #s(literal 1 binary64))
▶	32.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	54.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	35.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	38.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	55.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	75.4%	(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)))
▶	40.6%	#s(literal 1 binary64)

Compiler

Compiled 526 to 288 computations (45.2% saved)

simplify488.0ms (3.4%)

Memory

1.2MiB live, 428.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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))) (.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	(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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	cost-diff	0	(.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps)))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps))))) #s(literal 1 binary64))
✓	cost-diff	640	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps)))
✓	cost-diff	1408	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps))))
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal -1 binary64) eps))
✓	cost-diff	0	(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
✓	cost-diff	0	(+.f64 (exp.f64 (.f64 x (+.f64 #s(literal -1 binary64) 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 (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

Rules

10 312×	`lower-fma.f32`
10 298×	`lower-fma.f64`
4 122×	`lower-+.f32`
4 106×	`lower-+.f64`
3 756×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	724
0	100	720
1	239	714
2	830	682
3	4342	682
0	8159	652

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

localize422.0ms (2.9%)

Memory

-10.8MiB live, 390.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.9%	(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))
✓	accuracy	93.3%	(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))
✓	accuracy	60.1%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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))) (.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%	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	99.9%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x))
✓	accuracy	66.8%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
✓	accuracy	98.1%	(.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps)))))
✓	accuracy	92.6%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps)))
✓	accuracy	59.9%	(fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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)))
✓	accuracy	56.6%	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #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 eps #s(literal 1 binary64)) eps))))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal -1 binary64) eps))

Samples

177.0ms	103×	1	valid
55.0ms	122×	0	valid
35.0ms	28×	2	valid
4.0ms	3×	3	valid

Compiler

Compiled 726 to 59 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

adjust: 67.0ms (35% of total)

ival-mult: 45.0ms (23.5% of total)

ival-add: 28.0ms (14.6% of total)

ival-exp: 20.0ms (10.4% of total)

ival-div: 13.0ms (6.8% of total)

ival-sub: 11.0ms (5.7% of total)

const: 5.0ms (2.6% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series68.0ms (0.5%)

Memory

22.9MiB live, 98.8MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(* x 1/6)
6.0ms	x	@	inf	(/ (- (* (+ 1 (/ 1 eps)) (- (+ (* x eps) 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
5.0ms	x	@	inf	(- (* (+ 1 (/ 1 eps)) (+ (* x (+ (* x (* (* (- 1 eps) (- 1 eps)) (+ (* (* x 1/6) (+ -1 eps)) 1/2))) (+ -1 eps))) 1)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
3.0ms	eps	@	0	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (+ (- -1 eps) (/ (+ eps 1) eps))))
2.0ms	x	@	0	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (+ (- -1 eps) (/ (+ eps 1) eps))))

rewrite511.0ms (3.5%)

Memory

13.8MiB live, 674.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 076×	`lower-fma.f32`
5 062×	`lower-fma.f64`
4 864×	`lower-*.f32`
4 838×	`lower-*.f64`
2 182×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	493
0	100	484
1	485	480
2	5180	480
0	8150	475

Stop Event

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

Counts

22 → 650

Calls

Call 1

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

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

simplify430.0ms (3%)

Memory

18.8MiB live, 841.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 252×	`lower-fma.f64`
8 252×	`lower-fma.f32`
6 988×	`lower-+.f64`
6 988×	`lower-+.f32`
6 358×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	10020
1	3562	9448
0	8611	8823

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 503

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

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

eval223.0ms (1.5%)

Memory: 2.5MiB live, 488.4MiB allocated
Compiler: Compiled 63 107 to 4 056 computations (93.6% saved)

prune179.0ms (1.2%)

Memory

-18.3MiB live, 438.0MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 242	20	1 262
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	1 249	22	1 271

Accuracy

100.0%

Counts

1 271 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.6%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
▶	73.9%	(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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
▶	74.1%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))) #s(literal 1 binary64))
	75.2%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (/.f64 (fma.f64 eps (-.f64 (.f64 eps (fma.f64 x eps #s(literal -1 binary64))) x) #s(literal 1 binary64)) eps))) #s(literal 1 binary64))
	74.3%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))) #s(literal 1 binary64))
	74.2%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
	28.1%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	36.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	22.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (fma.f64 x eps #s(literal 1 binary64)) x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	42.8%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
	45.8%	(.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
	22.7%	(.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x)))
	36.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (+.f64 (fma.f64 x (fma.f64 x (fma.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 1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 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 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64)))
	55.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 (.f64 x #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 1/2 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	59.4%	(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	59.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
▶	83.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	63.4%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶	9.3%	(.f64 #s(literal 1/2 binary64) (.f64 x eps))
	75.4%	(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)))
▶	71.6%	(exp.f64 (neg.f64 x))
✓	40.6%	#s(literal 1 binary64)

Compiler

Compiled 1 057 to 585 computations (44.7% saved)

simplify879.0ms (6.1%)

Memory

3.2MiB live, 709.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	1280	(fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
✓	cost-diff	1408	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	192	(+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
✓	cost-diff	192	(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))))
✓	cost-diff	320	(.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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))
✓	cost-diff	384	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x eps))
✓	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

17 090×	`lower-fma.f32`
17 078×	`lower-fma.f64`
4 636×	`lower-+.f32`
4 616×	`lower-+.f64`
4 316×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	527
0	83	523
1	200	496
2	692	441
3	4370	436
0	8169	407

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

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

localize301.0ms (2.1%)

Memory

13.2MiB live, 771.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))) #s(literal 1 binary64))
✓	accuracy	98.1%	(.f64 x (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))))
✓	accuracy	85.4%	(fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
✓	accuracy	56.6%	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (-.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 1/2 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
✓	accuracy	97.9%	(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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	accuracy	92.6%	(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 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
✓	accuracy	49.0%	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	100.0%	(*.f64 x eps)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.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%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))

Samples

150.0ms	203×	1	valid
29.0ms	27×	2	valid
7.0ms	6×	3	valid
6.0ms	18×	0	valid
4.0ms	2×	4	valid

Compiler

Compiled 529 to 49 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 55.0ms (36.6% of total)

ival-add: 47.0ms (31.3% of total)

adjust: 28.0ms (18.6% of total)

ival-exp: 9.0ms (6% of total)

ival-div: 7.0ms (4.7% of total)

ival-sub: 3.0ms (2% of total)

ival-neg: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series35.0ms (0.2%)

Memory

12.0MiB live, 90.3MiB allocated

Counts

22 → 456

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

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

Calls

114 calls:

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

rewrite466.0ms (3.2%)

Memory

-20.5MiB live, 801.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 878×	`lower-fma.f32`
5 866×	`lower-fma.f64`
4 768×	`lower-*.f32`
4 746×	`lower-*.f64`
2 202×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	409
0	83	395
1	410	368
2	4929	368
0	8218	350

Stop Event

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

Counts

22 → 640

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

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

simplify536.0ms (3.7%)

Memory

-22.8MiB live, 661.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 094×	`lower-fma.f64`
15 094×	`lower-fma.f32`
5 578×	`lower-*.f64`
5 578×	`lower-*.f32`
4 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	5844
1	2014	5350
2	7363	5347
0	8146	4999

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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

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

eval172.0ms (1.2%)

Memory: 22.4MiB live, 406.1MiB allocated
Compiler: Compiled 51 887 to 3 551 computations (93.2% saved)

prune125.0ms (0.9%)

Memory

-3.8MiB live, 324.0MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1 105	17	1 122
Fresh	10	6	16
Picked	3	2	5
Done	0	1	1
Total	1 118	26	1 144

Accuracy

100.0%

Counts

1 144 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.6%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
	51.2%	(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))
	57.2%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
	73.9%	(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 eps eps #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
▶	40.8%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	47.1%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	74.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
	76.4%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64))
▶	74.2%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (*.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
	28.1%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	36.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) x (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	40.3%	(-.f64 #s(literal 1 binary64) x)
	42.8%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x x))
	22.7%	(.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x)))
	40.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (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)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 eps eps)))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)))
	57.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (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.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	83.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶	83.9%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
	59.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	63.4%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶	49.2%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
✓	9.3%	(.f64 #s(literal 1/2 binary64) (.f64 x eps))
	36.5%	(.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps (fma.f64 x x #s(literal 0 binary64)))))
✓	71.6%	(exp.f64 (neg.f64 x))
✓	40.6%	#s(literal 1 binary64)
▶	18.3%	#s(literal 0 binary64)

Compiler

Compiled 895 to 548 computations (38.8% saved)

simplify305.0ms (2.1%)

Memory

-20.9MiB live, 621.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))
✓	cost-diff	320	(.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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))
✓	cost-diff	384	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	cost-diff	704	(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))
✓	cost-diff	0	(.f64 x (.f64 eps (*.f64 eps (+.f64 x #s(literal 0 binary64)))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (*.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 x #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 x (.f64 eps eps))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 eps eps)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
✓	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 (neg.f64 eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))

Rules

9 752×	`lower-fma.f32`
9 738×	`lower-fma.f64`
2 968×	`lower-+.f32`
2 960×	`lower-+.f64`
2 782×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	387
0	76	365
1	198	365
2	570	321
3	2602	309
4	4724	309
0	8136	302

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

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

localize208.0ms (1.4%)

Memory

33.2MiB live, 505.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.9%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	accuracy	92.6%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
✓	accuracy	62.8%	(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
✓	accuracy	49.0%	(+.f64 eps (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	100.0%	(*.f64 eps (+.f64 x #s(literal 0 binary64)))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (*.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
✓	accuracy	95.3%	(.f64 x (.f64 eps (*.f64 eps (+.f64 x #s(literal 0 binary64)))))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.7%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
✓	accuracy	95.3%	(.f64 x (.f64 x (*.f64 eps eps)))
✓	accuracy	88.4%	(.f64 x (.f64 eps eps))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(exp.f64 (*.f64 x (neg.f64 eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))

Samples

85.0ms	126×	1	valid
41.0ms	130×	0	valid

Compiler

Compiled 389 to 46 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 42.0ms (49.3% of total)

ival-add: 21.0ms (24.6% of total)

adjust: 11.0ms (12.9% of total)

ival-exp: 5.0ms (5.9% of total)

ival-sub: 2.0ms (2.3% of total)

ival-div: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series39.0ms (0.3%)

Memory

-29.5MiB live, 94.7MiB allocated

Counts

21 → 432

Calls

Call 1

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

Calls

108 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(* 1/2 (+ (* x (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (/ (* (+ (* eps (* eps eps)) -1) (+ (* eps eps) -1)) (* (+ (* eps (+ eps 1)) 1) (+ eps 1)))))) (+ (+ eps (- -1 eps)) -1)))
2.0ms	eps	@	0	(* 1/2 (* x (* x (* eps eps))))
1.0ms	eps	@	-inf	(* 1/2 (+ (* x (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (/ (* (+ (* eps (* eps eps)) -1) (+ (* eps eps) -1)) (* (+ (* eps (+ eps 1)) 1) (+ eps 1)))))) (+ (+ eps (- -1 eps)) -1)))
1.0ms	eps	@	inf	(* 1/2 (+ (* x (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (/ (* (+ (* eps (* eps eps)) -1) (+ (* eps eps) -1)) (* (+ (* eps (+ eps 1)) 1) (+ eps 1)))))) (+ (+ eps (- -1 eps)) -1)))
1.0ms	x	@	inf	(* 1/2 (+ (* x (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (/ (* (+ (* eps (* eps eps)) -1) (+ (* eps eps) -1)) (* (+ (* eps (+ eps 1)) 1) (+ eps 1)))))) (+ (+ eps (- -1 eps)) -1)))

rewrite535.0ms (3.7%)

Memory

37.2MiB live, 504.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 920×	`lower-fma.f32`
3 906×	`lower-fma.f64`
3 558×	`lower-*.f32`
3 544×	`lower-/.f32`
3 542×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	257
0	76	240
1	349	204
2	3391	204
0	8441	199

Stop Event

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

Counts

21 → 689

Calls

Call 1

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

simplify365.0ms (2.5%)

Memory

6.8MiB live, 528.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 544×	`lower-fma.f64`
10 544×	`lower-fma.f32`
4 580×	`lower-*.f64`
4 580×	`lower-*.f32`
2 810×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	3793
1	774	3690
2	2559	3640
3	6059	3500
0	8260	3289

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

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

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

eval151.0ms (1%)

Memory: -8.0MiB live, 265.7MiB allocated
Compiler: Compiled 32 289 to 2 646 computations (91.8% saved)

prune159.0ms (1.1%)

Memory

-7.0MiB live, 231.6MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 119	12	1 131
Fresh	9	9	18
Picked	3	2	5
Done	0	3	3
Total	1 131	26	1 157

Accuracy

100.0%

Counts

1 157 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps #s(literal 1 binary64))
	39.6%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
	73.9%	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x (fma.f64 eps eps #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
	51.2%	(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))
	57.2%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
	40.8%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) #s(literal -2 binary64))) #s(literal 1 binary64))
	47.1%	(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 (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) #s(literal 1 binary64))
	76.4%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64))
	36.4%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (/.f64 (.f64 (.f64 x (.f64 x x)) eps) (.f64 x x)))) #s(literal 1 binary64))
	74.1%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (/.f64 (.f64 (.f64 x x) eps) x))) #s(literal 1 binary64))
	34.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 eps (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
	45.0%	(/.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 (.f64 x eps) (.f64 (.f64 x eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	40.3%	(-.f64 #s(literal 1 binary64) x)
	83.9%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
	22.7%	(.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x)))
	40.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (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)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 eps eps)))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)))
	22.2%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 eps eps))) (*.f64 x x)))
	83.9%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64))))
	59.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	36.5%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) eps) eps))
	36.7%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x eps)))
✓	49.2%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
✓	9.3%	(.f64 #s(literal 1/2 binary64) (.f64 x eps))
✓	71.6%	(exp.f64 (neg.f64 x))
✓	40.6%	#s(literal 1 binary64)
✓	18.3%	#s(literal 0 binary64)

Compiler

Compiled 1 642 to 549 computations (66.6% saved)

regimes68.0ms (0.5%)

Memory

24.1MiB live, 99.9MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	x
17.0ms	eps
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))
13.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	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))`
99.7%	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)

regimes63.0ms (0.4%)

Memory

-7.2MiB live, 112.8MiB allocated

Counts

54 → 2

Calls

Call 1

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

Calls

4 calls:

18.0ms	x
15.0ms	eps
14.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
13.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.6%	3	`x`
100.0%	2	`eps`
100.0%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
100.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes44.0ms (0.3%)

Memory

1.0MiB live, 78.8MiB allocated

Counts

53 → 2

Calls

Call 1

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

3 calls:

16.0ms

eps

13.0ms

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

12.0ms

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

Results

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

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes41.0ms (0.3%)

Memory

-37.0MiB live, 67.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

19.0ms

eps

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)))))

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
99.7%	2	`eps`
99.7%	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))`
99.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes33.0ms (0.2%)

Memory

29.3MiB live, 66.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Calls

3 calls:

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))

11.0ms

eps

9.0ms

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

Results

Accuracy	Segments	Branch
92.6%	2	`eps`
94.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
94.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes43.0ms (0.3%)

Memory

-33.4MiB live, 87.6MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))

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

Calls

4 calls:

12.0ms	eps
11.0ms	x
10.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
76.4%	1	`eps`
88.3%	3	`x`
79.2%	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))`
79.2%	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)

regimes9.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.3MiB live, 18.8MiB allocated

Counts

20 → 4

Calls

Call 1

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

Outputs
(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 eps (*.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.1%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

(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 eps (*.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

17 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
86.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

14 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.3%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory

-17.0MiB live, 21.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	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
72.6%	2	`eps`
77.9%	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))`
77.9%	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)))))`
76.8%	3	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes11.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

4 calls:

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

Results

Accuracy	Segments	Branch
57.2%	1	`eps`
67.5%	2	`x`
57.2%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
57.2%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.1%)

Memory

-24.4MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
2.0ms	eps
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
46.7%	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))`
46.7%	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)))))`
43.1%	2	`eps`
56.5%	2	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

12.0MiB live, 12.0MiB 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:

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

Results

Accuracy	Segments	Branch
18.3%	1	`eps`
18.3%	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))`
18.3%	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)))))`
18.3%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.3MiB 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

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.0000000000029026

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch52.0ms (0.4%)

Memory

6.3MiB live, 83.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.923137074329875e+121	8.022347408488948e+147
19.0ms	1566915379597.6245	126236568997702.16

Samples

35.0ms

288×

valid

Compiler

Compiled 792 to 491 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 6.0ms (25.2% of total)

ival-div: 4.0ms (16.8% of total)

ival-exp: 4.0ms (16.8% of total)

ival-sub: 4.0ms (16.8% of total)

ival-add: 3.0ms (12.6% of total)

ival-neg: 2.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory

-25.8MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.991693001064179e+106	1.628439221927494e+111
9.0ms	2.9834105857073516e-6	3.3689315436019184e-6

Samples

20.0ms	149×	0	valid
3.0ms	11×	1	valid

Compiler

Compiled 330 to 214 computations (35.2% saved)

Precisions

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

ival-mult: 6.0ms (33.3% of total)

ival-exp: 3.0ms (16.6% of total)

ival-sub: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

ival-div: 2.0ms (11.1% of total)

ival-neg: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

bsearch56.0ms (0.4%)

Memory

16.7MiB live, 100.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	3.991693001064179e+106	1.628439221927494e+111
25.0ms	1.0723334319943489e-28	2.282390483758265e-27
24.0ms	-5.37587813274495e-223	-8.347516953262805e-224

Samples

24.0ms	82×	1	valid
17.0ms	126×	0	valid

Compiler

Compiled 643 to 435 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 8.0ms (25.3% of total)

ival-mult: 7.0ms (22.1% of total)

ival-sub: 4.0ms (12.6% of total)

ival-div: 4.0ms (12.6% of total)

adjust: 3.0ms (9.5% of total)

ival-add: 3.0ms (9.5% of total)

ival-neg: 2.0ms (6.3% 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

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1566915379597.6245	126236568997702.16
1.0ms	-5.37587813274495e-223	-8.347516953262805e-224

Compiler

Compiled 391 to 277 computations (29.2% saved)

bsearch51.0ms (0.4%)

Memory

5.6MiB live, 82.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.9834105857073516e-6	3.3689315436019184e-6
26.0ms	1.673490095932622e-163	3.5276970874851523e-161
20.0ms	-5.37587813274495e-223	-8.347516953262805e-224

Samples

26.0ms	82×	1	valid
12.0ms	110×	0	valid

Compiler

Compiled 422 to 292 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 8.0ms (24.9% of total)

ival-exp: 7.0ms (21.8% of total)

ival-sub: 4.0ms (12.4% of total)

ival-div: 4.0ms (12.4% of total)

adjust: 3.0ms (9.3% of total)

ival-add: 3.0ms (9.3% of total)

ival-neg: 2.0ms (6.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch44.0ms (0.3%)

Memory

-20.4MiB live, 62.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	2.9834105857073516e-6	3.3689315436019184e-6
40.0ms	4.066462870824153e-241	1.2515112918020593e-237
1.0ms	-5.37587813274495e-223	-8.347516953262805e-224

Samples

21.0ms	55×	1	valid
8.0ms	73×	0	valid

Compiler

Compiled 322 to 240 computations (25.5% saved)

Precisions

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

ival-exp: 9.0ms (35.6% of total)

ival-div: 4.0ms (15.8% of total)

ival-mult: 4.0ms (15.8% of total)

ival-sub: 3.0ms (11.9% of total)

adjust: 2.0ms (7.9% of total)

ival-neg: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000004683080891	308959615404.61035

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch48.0ms (0.3%)

Memory

-7.1MiB live, 68.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	3.3689315436019184e-6	83885512.77395

Samples

23.0ms	65×	1	valid
11.0ms	95×	0	valid

Compiler

Compiled 204 to 164 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 8.0ms (27.2% of total)

ival-mult: 6.0ms (20.4% of total)

ival-sub: 5.0ms (17% of total)

ival-div: 4.0ms (13.6% of total)

adjust: 3.0ms (10.2% of total)

ival-neg: 2.0ms (6.8% of total)

ival-add: 2.0ms (6.8% 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

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1566915379597.6245	126236568997702.16

Compiler

Compiled 132 to 108 computations (18.2% saved)

bsearch17.0ms (0.1%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3689315436019184e-6	83885512.77395

Samples

8.0ms	27×	1	valid
4.0ms	37×	0	valid

Compiler

Compiled 134 to 114 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 3.0ms (30% of total)

ival-mult: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

ival-div: 1.0ms (10% of total)

adjust: 1.0ms (10% of total)

ival-neg: 1.0ms (10% 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

1.2MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1566915379597.6245	126236568997702.16

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify56.0ms (0.4%)

Memory

-16.5MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Rules

380×	`distribute-lft-neg-in_binary64`
204×	`neg-mul-1_binary64`
194×	`neg-sub0_binary64`
140×	`distribute-rgt-neg-in_binary64`
138×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	580
1	195	580
2	239	570
3	298	570
4	356	570
5	505	570
6	634	570
7	778	570
8	918	570
9	1020	570
10	1083	570
11	1117	570
12	1141	570
13	1157	570
14	1167	570
15	1170	570

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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)) (.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 2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7999999999999999823971059245261281394918591115742408646178025959754111513832859939415408395386084111758146147324296619750707458453849171162910687232 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3136042293543369/1393796574908163946345982392040522594123776 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal -3776805049873355/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5511075364920069/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x eps)) eps #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -3776805049873355/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8680566333305435/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(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 1600000000000 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 1600000000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.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)))) #s(literal 0 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 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.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)) (.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 (.f64 x (+.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)))) #s(literal 0 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 #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)))) #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 2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.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)))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7999999999999999823971059245261281394918591115742408646178025959754111513832859939415408395386084111758146147324296619750707458453849171162910687232 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7999999999999999823971059245261281394918591115742408646178025959754111513832859939415408395386084111758146147324296619750707458453849171162910687232 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps (/.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 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 eps (fma.f64 eps (fma.f64 x eps #s(literal 0 binary64)) (neg.f64 x))) eps)) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3136042293543369/1393796574908163946345982392040522594123776 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3136042293543369/1393796574908163946345982392040522594123776 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8199999999999999809458643099157567402290706092125035684991813961038865081563487301751029788849237151899975680 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 eps (+.f64 x #s(literal 0 binary64))))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal -2995397108520247/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1600000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 eps (.f64 x eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))))
(if (<=.f64 x #s(literal -3776805049873355/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5511075364920069/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x eps)) eps #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -3776805049873355/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5511075364920069/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) (fma.f64 (.f64 (.f64 x eps) (.f64 #s(literal 1/2 binary64) x)) eps #s(literal 1 binary64)) (if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -3776805049873355/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8680566333305435/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 7791904696734915/2361183241434822606848 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #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 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(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 #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)))) #s(literal 4 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(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 1600000000000 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 1600000000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.0s (13.6%)

Memory

40.2MiB live, 1 421.7MiB allocated

Rules

15 094×	`lower-fma.f64`
15 094×	`lower-fma.f32`
11 834×	`lower-fma.f64`
11 834×	`lower-fma.f32`
8 252×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	2720
1	830	2409
2	2837	2108
3	7911	2108
0	8015	1965
0	588	5844
1	2014	5350
2	7363	5347
0	8146	4999
0	38	257
0	76	240
1	349	204
2	3391	204
0	8441	199
0	1011	10020
1	3562	9448
0	8611	8823
0	50	493
0	100	484
1	485	480
2	5180	480
0	8150	475

Stop Event

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

Compiler

Compiled 1 030 to 465 computations (54.9% saved)

preprocess96.0ms (0.7%)

Memory: -1.7MiB live, 230.4MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 314 to 344 computations (73.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze51.0ms (0.4%)

sample2.4s (16.7%)

preprocess427.0ms (3%)

explain344.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify293.0ms (2%)

localize80.0ms (0.6%)

series19.0ms (0.1%)

rewrite349.0ms (2.4%)

simplify770.0ms (5.3%)

eval143.0ms (1%)

prune148.0ms (1%)

simplify488.0ms (3.4%)

localize422.0ms (2.9%)

series68.0ms (0.5%)

rewrite511.0ms (3.5%)

simplify430.0ms (3%)

eval223.0ms (1.5%)

prune179.0ms (1.2%)

simplify879.0ms (6.1%)

localize301.0ms (2.1%)

series35.0ms (0.2%)

rewrite466.0ms (3.2%)

simplify536.0ms (3.7%)

eval172.0ms (1.2%)

prune125.0ms (0.9%)

simplify305.0ms (2.1%)

localize208.0ms (1.4%)

series39.0ms (0.3%)

rewrite535.0ms (3.7%)

simplify365.0ms (2.5%)

eval151.0ms (1%)

prune159.0ms (1.1%)

regimes68.0ms (0.5%)

regimes63.0ms (0.4%)

regimes44.0ms (0.3%)

regimes41.0ms (0.3%)

regimes33.0ms (0.2%)

regimes43.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes32.0ms (0.2%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes22.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.4%)

bsearch34.0ms (0.2%)

bsearch56.0ms (0.4%)

bsearch2.0ms (0%)

bsearch51.0ms (0.4%)

bsearch44.0ms (0.3%)

bsearch0.0ms (0%)

bsearch48.0ms (0.3%)

bsearch1.0ms (0%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

simplify56.0ms (0.4%)

soundness2.0s (13.6%)

preprocess96.0ms (0.7%)

end0.0ms (0%)

Profiling