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

0.9MiB live, 0.9MiB 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)

sample2.1s (63.1%)

Memory

-97.1MiB live, 1 536.3MiB allocated; 1.5s collecting garbage

Samples

1.1s	631×	2	valid
346.0ms	2 482×	1	valid
342.0ms	5 143×	0	valid

Precisions

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

adjust: 1.1s (70.6% of total)

ival-pow2: 358.0ms (23.2% of total)

ival-add!: 66.0ms (4.3% of total)

ival-sub!: 29.0ms (1.9% of total)

Bogosity

explain111.0ms (3.4%)

Memory

22.5MiB live, 212.8MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	1	(2.3926016902807795e-21 -5.829210857366306e-24)	-	`(-.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	0

Confusion

	Predicted +	Predicted -
+	74	0
-	0	182

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	0	0	182

Precision?

1.0

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

30.0ms	324×	0	valid
15.0ms	146×	1	valid
9.0ms	42×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-pow2: 27.0ms (72.8% of total)

adjust: 6.0ms (16.2% of total)

ival-add!: 2.0ms (5.4% of total)

ival-sub!: 2.0ms (5.4% of total)

preprocess37.0ms (1.1%)

Memory

-26.9MiB live, 19.9MiB allocated; 3ms 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
▶	74.6%	(-.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)

series6.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms 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
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	eps	@	-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))

rewrite150.0ms (4.5%)

Memory

20.5MiB live, 213.5MiB allocated; 17ms 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))))

eval12.0ms (0.4%)

Memory: -19.8MiB live, 27.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 157 to 390 computations (81.9% saved)

prune5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.3%	(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
▶	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))
▶	66.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	71.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 150 to 100 computations (33.3% saved)

series22.0ms (0.7%)

Memory

7.1MiB live, 58.5MiB allocated; 3ms collecting garbage

Counts

19 → 60

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
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)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
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)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
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)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))
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)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) (/ (* eps eps) x))

rewrite254.0ms (7.7%)

Memory

-11.1MiB live, 398.7MiB allocated; 99ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1104
0	186	1002
1	767	969
0	6695	957

Stop Event

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

Counts

79 → 356

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

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

eval77.0ms (2.4%)

Memory: 31.9MiB live, 178.8MiB allocated; 50ms collecting garbage
Compiler: Compiled 9 296 to 1 240 computations (86.7% saved)

prune17.0ms (0.5%)

Memory

-40.5MiB live, 51.6MiB allocated; 10ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	427	4	431
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	430	6	436

Accuracy

100.0%

Counts

436 → 6

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)))
▶	100.0%	#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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	66.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
✓	71.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
▶	40.8%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 94 to 63 computations (33% saved)

series9.0ms (0.3%)

Memory

38.4MiB live, 38.4MiB allocated; 0ms collecting garbage

Counts

15 → 45

Calls

Call 1

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

Calls

6 calls:

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

rewrite196.0ms (5.9%)

Memory

-2.7MiB live, 322.6MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	882
0	137	791
1	633	762
0	5746	722

Stop Event

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

Counts

60 → 256

Calls

Call 1

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

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

eval21.0ms (0.6%)

Memory: 22.5MiB live, 67.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 437 to 606 computations (86.3% saved)

prune6.0ms (0.2%)

Memory

-25.3MiB live, 20.7MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	193	6	199

Accuracy

100.0%

Counts

199 → 6

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)))
✓	100.0%	#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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	66.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	71.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	40.8%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 94 to 62 computations (34% saved)

series5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

Calls

6 calls:

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

rewrite44.0ms (1.3%)

Memory

-39.9MiB live, 66.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	180
0	48	178
0	225	173

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

16 → 21

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 403 to 74 computations (81.6% saved)

prune4.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	23	6	29

Accuracy

100.0%

Counts

29 → 6

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)))
✓	100.0%	#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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	66.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	71.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	40.8%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 258 to 107 computations (58.5% saved)

regimes11.0ms (0.3%)

Memory

-12.2MiB live, 35.5MiB allocated; 1ms collecting garbage

Counts

11 → 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 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 (fma.f64 #s(literal 2 binary64) x eps) 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 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
(-.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)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Calls

3 calls:

4.0ms	x
3.0ms	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)

regimes6.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

5 → 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 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 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps 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
97.3%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
89.8%	3	`x`
88.3%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory

-30.3MiB live, 15.1MiB allocated; 2ms 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:

3.0ms	eps
1.0ms	x
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
71.8%	1	`eps`
71.8%	1	`x`
71.8%	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)

regimes3.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB 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
40.8%	1	`x`
40.8%	1	`eps`
40.8%	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)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5e-324

Compiler

Compiled 12 to 12 computations (0% saved)

derivations190.0ms (5.8%)

Memory

-21.6MiB live, 321.1MiB allocated; 44ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 83 to 29 computations (65.1% saved)

preprocess20.0ms (0.6%)

Memory: 25.9MiB live, 71.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 184 to 72 computations (60.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (63.1%)

explain111.0ms (3.4%)

preprocess37.0ms (1.1%)

series6.0ms (0.2%)

rewrite150.0ms (4.5%)

eval12.0ms (0.4%)

prune5.0ms (0.1%)

series22.0ms (0.7%)

rewrite254.0ms (7.7%)

eval77.0ms (2.4%)

prune17.0ms (0.5%)

series9.0ms (0.3%)

rewrite196.0ms (5.9%)

eval21.0ms (0.6%)

prune6.0ms (0.2%)

series5.0ms (0.1%)

rewrite44.0ms (1.3%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations190.0ms (5.8%)

preprocess20.0ms (0.6%)

end0.0ms (0%)

Profiling