Metrics for ENA, Section 1.4, Exercise 4b, n=2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.0s (40.9%)

Memory

47.6MiB live, 1 016.9MiB allocated; 248ms collecting garbage

Samples

295.0ms	5 134×	0	valid
266.0ms	2 506×	1	valid
84.0ms	616×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-pow2: 270.0ms (64.4% of total)

adjust: 75.0ms (17.9% of total)

ival-add!: 48.0ms (11.4% of total)

ival-sub!: 27.0ms (6.4% of total)

Bogosity

explain113.0ms (4.6%)

Memory

1.2MiB live, 95.8MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	2	(2.256525987857537e-102 2.4962640064499238e-222)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	74	1

Confusion

	Predicted +	Predicted -
+	72	0
-	2	182

Precision

0.972972972972973

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	2	1	181

Precision?

0.96

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	158×	1	valid
16.0ms	312×	0	valid
6.0ms	42×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

adjust: 15.0ms (44.1% of total)

ival-pow2: 15.0ms (44.1% of total)

ival-add!: 2.0ms (5.9% of total)

ival-sub!: 2.0ms (5.9% of total)

preprocess36.0ms (1.5%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	34	60
2	118	60
3	553	58
4	1771	44
5	5314	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series12.0ms (0.5%)

Memory

-43.9MiB live, 11.8MiB allocated; 8ms collecting garbage

Counts

7 → 29

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

rewrite160.0ms (6.5%)

Memory

28.8MiB live, 161.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	456
0	110	446
1	557	431
0	5462	412

Stop Event

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

Counts

36 → 120

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 eps) eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (neg.f64 x) x)) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 x (-.f64 x eps) (.f64 eps eps)))
(/.f64 (.f64 (+.f64 eps x) (fma.f64 x x (.f64 (neg.f64 eps) eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 eps x) (fma.f64 eps eps (.f64 (neg.f64 x) x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x eps) (.f64 eps eps)))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 eps) eps)) (fma.f64 x x (.f64 (neg.f64 eps) eps))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 eps) eps)) (fma.f64 eps eps (.f64 (neg.f64 x) x))) (.f64 (-.f64 x eps) (-.f64 eps x)))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 eps) eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 eps) eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 x eps) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (neg.f64 x) x)) (fma.f64 x x (.f64 (neg.f64 eps) eps))) (.f64 (-.f64 eps x) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (neg.f64 x) x)) (fma.f64 eps eps (.f64 (neg.f64 x) x))) (.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 eps x) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 eps eps (.f64 (neg.f64 x) x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 eps x) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (neg.f64 eps) eps))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (neg.f64 eps) eps))) (.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (.f64 (neg.f64 x) x))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (-.f64 eps x)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (.f64 (neg.f64 x) x))) (.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (-.f64 eps x)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 x (+.f64 eps x)))
(+.f64 (.f64 x (+.f64 eps x)) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))
(+.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 eps) eps)) (-.f64 x eps))
(/.f64 (fma.f64 eps eps (*.f64 (neg.f64 x) x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 eps eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (pow (+ x eps) 2) (*.f64 x x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 eps (/.f64 eps x) (neg.f64 (.f64 #s(literal -2 binary64) eps))) x))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) #s(literal -1 binary64)) x) x))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
#s(approx (pow (+ x eps) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) eps x) x (*.f64 eps eps)))
#s(approx eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) eps) eps))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval10.0ms (0.4%)

Memory: 22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 094 to 389 computations (81.4% saved)

prune13.0ms (0.5%)

Memory

-37.8MiB live, 13.6MiB allocated; 13ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Accuracy

100.0%

Counts

113 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
	74.5%	(-.f64 (fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x)) (pow.f64 x #s(literal 2 binary64)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
▶	66.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	71.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 218 to 144 computations (33.9% saved)

series17.0ms (0.7%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Counts

21 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
2.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
2.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)

rewrite235.0ms (9.6%)

Memory

-13.4MiB live, 216.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1179
0	193	1091
1	776	1058
0	6698	1046

Stop Event

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

Counts

87 → 409

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 (-.f64 eps x) x))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) eps) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 (-.f64 eps x) x))
(/.f64 (.f64 eps (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (-.f64 eps x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) eps) eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (.f64 #s(literal 1 binary64) (neg.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (.f64 eps eps) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 eps x)) (*.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 (-.f64 eps x) x)) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
(+.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (-.f64 eps x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 (-.f64 eps x) x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (-.f64 eps x) x))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 (-.f64 eps x) x))))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (.f64 eps eps) (-.f64 (-.f64 eps x) x)) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (-.f64 eps x) x)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 (-.f64 eps x) x)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x)))))
(+.f64 (+.f64 eps x) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
x
eps
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 #s(literal 1 binary64) (fabs.f64 eps)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (.f64 (.f64 eps eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps x) (.f64 eps x))) (-.f64 (.f64 eps x) (.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps x) (.f64 eps x)))))
(fma.f64 (.f64 eps x) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps x) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (.f64 eps x) (.f64 (neg.f64 eps) x))
(-.f64 (.f64 eps x) (.f64 (neg.f64 x) eps))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))
(+.f64 (.f64 eps x) (.f64 eps x))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) (-.f64 (neg.f64 (+.f64 eps x)) x))
(*.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) (-.f64 (fabs.f64 (+.f64 eps x)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) (-.f64 (+.f64 eps x) x))
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(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps) (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps)) (.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps) eps))))
(fma.f64 (*.f64 (/.f64 x eps) eps) #s(literal 2 binary64) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 x eps) eps)
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) eps eps)
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) eps) eps)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) eps) eps)
(fma.f64 eps (*.f64 (/.f64 x eps) #s(literal 2 binary64)) eps)
(-.f64 eps (.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) eps))
(-.f64 eps (.f64 (neg.f64 eps) (.f64 (/.f64 x eps) #s(literal 2 binary64))))
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(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)) x)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps)))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 x eps)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))) eps)
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)) eps))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps (-.f64 (-.f64 eps x) x))) eps))
(/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)) (neg.f64 eps))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (.f64 eps eps))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 eps)) eps))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 eps)))
(fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal 1 binary64))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 1 binary64) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) eps) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (pow.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(-.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) (.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) eps) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) eps) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) (/.f64 x eps))
(+.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) eps) #s(literal -2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))
(*.f64 (/.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) eps))
(*.f64 #s(literal 1 binary64) (/.f64 x eps))
(*.f64 x (pow.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 eps))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 eps)))
(/.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) (neg.f64 eps))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) eps))
(/.f64 x eps)
(neg.f64 (/.f64 (neg.f64 x) eps))
#s(literal 1 binary64)
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx x x)
#s(approx (* (* eps x) 2) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (*.f64 eps eps))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) eps)
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* (/ x eps) 2) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x))
#s(approx (+ (* (/ x eps) 2) 1) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ eps x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) x #s(literal 0 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) x (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 eps eps)))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal -1 binary64))))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 0 binary64) eps)) eps)) eps) eps))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal -1 binary64))))

eval44.0ms (1.8%)

Memory: 7.3MiB live, 95.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 9 563 to 1 348 computations (85.9% saved)

prune20.0ms (0.8%)

Memory

-37.5MiB live, 27.9MiB allocated; 22ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	412	6	418
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	417	8	425

Accuracy

100.0%

Counts

425 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
▶	66.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
✓	71.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
▶	40.6%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 229 to 150 computations (34.5% saved)

series10.0ms (0.4%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

18 → 65

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* x eps) (* (+ eps x) eps)) x eps (* (+ eps x) eps) (+ eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
2.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* x eps) (* (+ eps x) eps)) x eps (* (+ eps x) eps) (+ eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
2.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* x eps) (* (+ eps x) eps)) x eps (* (+ eps x) eps) (+ eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* x eps) (* (+ eps x) eps)) x eps (* (+ eps x) eps) (+ eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (+ (* x eps) (* (+ eps x) eps)) x eps (* (+ eps x) eps) (+ eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) 0 (- (pow (+ x eps) 2) (pow x 2)) (* (* 2 x) eps) (* 2 x) 2 (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps x) eps) (* eps x)) (* eps x))

rewrite190.0ms (7.8%)

Memory

10.6MiB live, 203.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1205
0	187	1102
1	794	1071
0	7054	958

Stop Event

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

Counts

83 → 386

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (-.f64 x (neg.f64 (+.f64 eps x))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)) eps) (-.f64 (+.f64 eps x) x))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (*.f64 eps (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64))) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 eps) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (+.f64 eps x)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (.f64 (.f64 eps x) (*.f64 (neg.f64 (+.f64 eps x)) eps)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (*.f64 eps (-.f64 (+.f64 eps x) x)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 eps (-.f64 (+.f64 eps x) x)) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps (-.f64 x (+.f64 eps x))) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 eps #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (pow.f64 eps #s(literal 3 binary64)))))))
(fma.f64 (.f64 (neg.f64 eps) #s(literal -1 binary64)) eps (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (neg.f64 eps)) (fabs.f64 (neg.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 (neg.f64 eps) eps) #s(literal -1 binary64) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 eps) eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (.f64 eps eps) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal -1 binary64) (neg.f64 eps)) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps eps (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps x (*.f64 (neg.f64 (neg.f64 (+.f64 eps x))) eps))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(fma.f64 x eps (*.f64 (neg.f64 (neg.f64 (+.f64 eps x))) eps))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(-.f64 (/.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 eps (-.f64 x (+.f64 eps x)))) (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (.f64 eps (-.f64 x (+.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (.f64 eps (-.f64 (+.f64 eps x) x))) (/.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 eps (-.f64 (+.f64 eps x) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (.f64 (+.f64 eps x) eps) (.f64 (neg.f64 eps) x))
(-.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (.f64 eps x) (.f64 (neg.f64 eps) (+.f64 eps x)))
(-.f64 (.f64 eps x) (.f64 (neg.f64 (+.f64 eps x)) eps))
(-.f64 (.f64 eps eps) (.f64 (*.f64 (neg.f64 eps) x) #s(literal 2 binary64)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (/.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 eps (-.f64 (+.f64 eps x) x)) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 eps (-.f64 (+.f64 eps x) x)) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (.f64 eps x) (.f64 eps (-.f64 x (+.f64 eps x))) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (fma.f64 (.f64 eps x) (.f64 eps (-.f64 x (+.f64 eps x))) (pow.f64 (.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (pow.f64 eps #s(literal 3 binary64))))))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (pow.f64 eps #s(literal 3 binary64))))))))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
(+.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (.f64 eps x) (.f64 (neg.f64 (neg.f64 (+.f64 eps x))) eps))
(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps x)
(*.f64 x eps)
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx x x)
#s(approx (* (+ eps x) eps) (*.f64 eps eps))
#s(approx (* (+ eps x) eps) (*.f64 (+.f64 eps x) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* 2 x) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (* (+ eps x) eps) (*.f64 eps x))
#s(approx (* (+ eps x) eps) (*.f64 (fma.f64 eps (/.f64 eps x) eps) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (* (+ eps x) eps) (*.f64 (neg.f64 (fma.f64 eps (/.f64 eps x) eps)) (neg.f64 x)))
#s(approx (+ eps x) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ (+ eps x) x) (*.f64 (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x)) (neg.f64 x)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (* (+ eps x) eps) (*.f64 (+.f64 eps x) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) x #s(literal 0 binary64)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps #s(literal 0 binary64)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (* (+ eps x) eps) (*.f64 (fma.f64 (/.f64 x eps) eps eps) eps))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) (pow.f64 (/.f64 x eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ eps x) eps) (* eps x)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ eps x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 eps)))
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 0 binary64) eps)) eps)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 eps)))

eval40.0ms (1.6%)

Memory: -4.9MiB live, 42.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 993 to 979 computations (86% saved)

prune36.0ms (1.5%)

Memory

-31.9MiB live, 15.7MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	267	9	276

Accuracy

100.0%

Counts

276 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
▶	66.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
▶	74.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
✓	71.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	40.6%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 152 to 98 computations (35.5% saved)

series8.0ms (0.3%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

15 → 39

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (+ eps x) x) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (* eps x) 2) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

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

rewrite114.0ms (4.7%)

Memory

7.8MiB live, 149.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	665
0	114	637
1	475	634
0	3704	594

Stop Event

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

Counts

54 → 194

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps)
(*.f64 eps (+.f64 #s(approx (+ eps x) eps) x))
(/.f64 (.f64 (.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x)) eps) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(/.f64 (.f64 eps (.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x))) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (.f64 eps (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(fma.f64 #s(approx (+ eps x) eps) eps (*.f64 eps x))
(fma.f64 eps #s(approx (+ eps x) eps) (*.f64 eps x))
(fma.f64 eps x (*.f64 #s(approx (+ eps x) eps) eps))
(fma.f64 eps x (*.f64 eps #s(approx (+ eps x) eps)))
(fma.f64 x eps (*.f64 #s(approx (+ eps x) eps) eps))
(fma.f64 x eps (*.f64 eps #s(approx (+ eps x) eps)))
(+.f64 (.f64 #s(approx (+ eps x) eps) eps) (.f64 eps x))
(+.f64 (.f64 eps #s(approx (+ eps x) eps)) (.f64 eps x))
(+.f64 (.f64 eps x) (.f64 #s(approx (+ eps x) eps) eps))
(+.f64 (.f64 eps x) (.f64 eps #s(approx (+ eps x) eps)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64))) (-.f64 x #s(approx (+ eps x) eps)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x))) (neg.f64 (-.f64 #s(approx (+ eps x) eps) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 #s(approx (+ eps x) eps) x)) (-.f64 #s(approx (+ eps x) eps) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)) (*.f64 #s(approx (+ eps x) eps) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (*.f64 x (-.f64 x #s(approx (+ eps x) eps)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) eps) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ eps x) eps) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (.f64 x (-.f64 x #s(approx (+ eps x) eps))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) eps) #s(approx (+ eps x) eps) (.f64 x (-.f64 x #s(approx (+ eps x) eps))))))
(+.f64 #s(approx (+ eps x) eps) x)
(+.f64 x #s(approx (+ eps x) eps))
#s(approx (+ eps x) eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
(*.f64 (+.f64 #s(approx (+ eps x) x) x) eps)
(*.f64 eps (+.f64 #s(approx (+ eps x) x) x))
(/.f64 (.f64 (.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x)) eps) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(/.f64 (.f64 eps (.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x))) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (.f64 eps (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(fma.f64 #s(approx (+ eps x) x) eps (*.f64 eps x))
(fma.f64 eps #s(approx (+ eps x) x) (*.f64 eps x))
(fma.f64 eps x (*.f64 #s(approx (+ eps x) x) eps))
(fma.f64 eps x (*.f64 eps #s(approx (+ eps x) x)))
(fma.f64 x eps (*.f64 #s(approx (+ eps x) x) eps))
(fma.f64 x eps (*.f64 eps #s(approx (+ eps x) x)))
(+.f64 (.f64 #s(approx (+ eps x) x) eps) (.f64 eps x))
(+.f64 (.f64 eps #s(approx (+ eps x) x)) (.f64 eps x))
(+.f64 (.f64 eps x) (.f64 #s(approx (+ eps x) x) eps))
(+.f64 (.f64 eps x) (.f64 eps #s(approx (+ eps x) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (-.f64 x #s(approx (+ eps x) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x))) (neg.f64 (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x))))))
(/.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ eps x) x) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (*.f64 x (-.f64 x #s(approx (+ eps x) x)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ eps x) x) x)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (.f64 x (-.f64 x #s(approx (+ eps x) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ eps x) x) #s(approx (+ eps x) x) (.f64 x (-.f64 x #s(approx (+ eps x) x))))))
(+.f64 #s(approx (+ eps x) x) x)
(+.f64 x #s(approx (+ eps x) x))
#s(approx (+ eps x) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) eps) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (.f64 x x)) eps) (-.f64 (+.f64 eps x) x))
(/.f64 (.f64 eps (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 eps (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (.f64 x x))) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) eps) eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 2 binary64))) (pow.f64 (.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (.f64 #s(literal 1 binary64) (neg.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1 binary64)) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (.f64 eps eps) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(fma.f64 (+.f64 eps x) eps (*.f64 eps x))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps eps (.f64 (.f64 eps x) #s(literal 2 binary64)))
(fma.f64 eps x (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))
(fma.f64 eps x (fma.f64 eps x (*.f64 eps eps)))
(fma.f64 eps x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps x (*.f64 eps (+.f64 eps x)))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(fma.f64 x eps (-.f64 (.f64 eps x) (.f64 (neg.f64 eps) eps)))
(fma.f64 x eps (fma.f64 eps x (*.f64 eps eps)))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
(fma.f64 x eps (*.f64 eps (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) eps))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 eps x)) #s(literal 2 binary64)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 eps x))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 eps x))
(+.f64 (fma.f64 eps eps (.f64 eps x)) (.f64 eps x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))
(+.f64 (.f64 eps x) (-.f64 (.f64 eps x) (*.f64 (neg.f64 eps) eps)))
(+.f64 (.f64 eps x) (fma.f64 eps x (.f64 eps eps)))
(+.f64 (.f64 eps x) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 2 binary64)))
(*.f64 eps x)
(*.f64 x eps)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (*.f64 #s(literal 1 binary64) (neg.f64 eps)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (*.f64 #s(literal 1 binary64) (fabs.f64 eps)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 eps) #s(literal 1 binary64)) (*.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1 binary64)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 (.f64 (.f64 eps eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 eps eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx x x)
#s(approx (* (+ (+ eps x) x) eps) (*.f64 eps eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x))))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64))))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) eps (/.f64 (.f64 (neg.f64 eps) eps) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps eps)
#s(approx (* (+ (+ eps x) x) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (* (+ (+ eps x) x) eps) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval17.0ms (0.7%)

Memory: -12.4MiB live, 33.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 332 to 606 computations (86% saved)

prune7.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	171	9	180

Accuracy

100.0%

Counts

180 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
✓	66.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
✓	74.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
✓	71.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	40.6%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 408 to 163 computations (60% saved)

regimes14.0ms (0.6%)

Memory

-19.4MiB live, 27.8MiB allocated; 2ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))

Calls

3 calls:

5.0ms	x
4.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.0%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
91.0%	3	`x`
87.6%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.3%)

Memory

-42.4MiB live, 11.7MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))

Calls

3 calls:

4.0ms	eps
2.0ms	x
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
74.8%	1	`eps`
74.8%	1	`x`
74.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
71.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
71.5%	1	`x`
71.5%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Outputs
#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
40.6%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
40.6%	1	`x`
40.6%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.5845e-320

Compiler

Compiled 12 to 12 computations (0% saved)

derivations272.0ms (11.1%)

Memory

-37.5MiB live, 172.6MiB allocated; 89ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 131 to 38 computations (71% saved)

preprocess50.0ms (2%)

Memory: 0.2MiB live, 49.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 280 to 90 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (40.9%)

explain113.0ms (4.6%)

preprocess36.0ms (1.5%)

series12.0ms (0.5%)

rewrite160.0ms (6.5%)

eval10.0ms (0.4%)

prune13.0ms (0.5%)

series17.0ms (0.7%)

rewrite235.0ms (9.6%)

eval44.0ms (1.8%)

prune20.0ms (0.8%)

series10.0ms (0.4%)

rewrite190.0ms (7.8%)

eval40.0ms (1.6%)

prune36.0ms (1.5%)

series8.0ms (0.3%)

rewrite114.0ms (4.7%)

eval17.0ms (0.7%)

prune7.0ms (0.3%)

regimes14.0ms (0.6%)

regimes8.0ms (0.3%)

regimes6.0ms (0.3%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations272.0ms (11.1%)

preprocess50.0ms (2%)

end0.0ms (0%)

Profiling