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

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.1s (28%)

Memory

37.2MiB live, 1 417.4MiB allocated; 226ms collecting garbage

Samples

411.0ms	2 578×	1	valid
286.0ms	5 131×	0	valid
171.0ms	547×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-pow2: 262.0ms (40.6% of total)

adjust: 206.0ms (31.9% of total)

ival-add: 92.0ms (14.3% of total)

ival-sub: 82.0ms (12.7% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain133.0ms (3.3%)

Memory

16.5MiB live, 164.4MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
78	1	(-1.4025365704106662e-44 1.425978878102886e-279)	-	`(-.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	79	1

Confusion

	Predicted +	Predicted -
+	78	0
-	1	177

Precision

0.9873417721518988

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	1	1	176

Precision?

0.975

Recall?

1.0

Freqs

test

number	freq
0	177
1	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms	324×	0	valid
18.0ms	140×	1	valid
9.0ms	48×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

ival-pow2: 15.0ms (50.5% of total)

adjust: 6.0ms (20.2% of total)

ival-add: 4.0ms (13.5% of total)

ival-sub: 3.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess141.0ms (3.5%)

Memory

-10.1MiB live, 134.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	34	60
2	118	60
3	553	58
4	1771	44
5	5314	44
0	7	9
0	11	9
1	16	9
2	44	9
3	157	9
4	570	7
5	1812	7
0	8588	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series6.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB 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	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	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))

rewrite157.0ms (3.9%)

Memory

6.8MiB live, 144.2MiB allocated; 12ms 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 (0.3%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 157 to 390 computations (81.9% saved)

prune67.0ms (1.7%)

Memory

-0.2MiB live, 44.5MiB allocated; 5ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	2	120

Accuracy

100.0%

Counts

120 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(-.f64 (fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x)) (pow.f64 x #s(literal 2 binary64)))
▶	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))

Status

Accuracy

Program

▶

73.1%

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

▶

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))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series54.0ms (1.4%)

Memory

-30.2MiB live, 12.1MiB allocated; 9ms collecting garbage

Counts

13 → 58

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) 2 eps (/ (* eps eps) x) (* eps eps) x (- (+ (* (+ eps x) eps) (* (+ eps x) x)) (pow x 2)) (+ (* (+ eps x) eps) (* (+ eps x) x)) (+ eps x) (* (+ eps x) x) (pow x 2))
2.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) 2 eps (/ (* eps eps) x) (* eps eps) x (- (+ (* (+ eps x) eps) (* (+ eps x) x)) (pow x 2)) (+ (* (+ eps x) eps) (* (+ eps x) x)) (+ eps x) (* (+ eps x) x) (pow x 2))
2.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) 2 eps (/ (* eps eps) x) (* eps eps) x (- (+ (* (+ eps x) eps) (* (+ eps x) x)) (pow x 2)) (+ (* (+ eps x) eps) (* (+ eps x) x)) (+ eps x) (* (+ eps x) x) (pow x 2))
2.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) 2 eps (/ (* eps eps) x) (* eps eps) x (- (+ (* (+ eps x) eps) (* (+ eps x) x)) (pow x 2)) (+ (* (+ eps x) eps) (* (+ eps x) x)) (+ eps x) (* (+ eps x) x) (pow x 2))
2.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 eps) (/ (* eps eps) x)) x) (+ (* 2 eps) (/ (* eps eps) x)) 2 eps (/ (* eps eps) x) (* eps eps) x (- (+ (* (+ eps x) eps) (* (+ eps x) x)) (pow x 2)) (+ (* (+ eps x) eps) (* (+ eps x) x)) (+ eps x) (* (+ eps x) x) (pow x 2))

rewrite266.0ms (6.6%)

Memory

22.1MiB live, 204.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1094
0	179	948
1	798	908
0	7236	882

Stop Event

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

Counts

71 → 409

Calls

Call 1

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

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

eval88.0ms (2.2%)

Memory: -21.8MiB live, 107.1MiB allocated; 78ms collecting garbage
Compiler: Compiled 9 941 to 1 475 computations (85.2% saved)

prune1.4s (35.9%)

Memory

8.0MiB live, 1 372.3MiB allocated; 858ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	439	1	440
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	440	2	442

Accuracy

100.0%

Counts

442 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.1%	(-.f64 (fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x)) (pow.f64 x #s(literal 2 binary64)))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 (/.f64 (*.f64 eps eps) x) x)))

Status

Accuracy

Program

✓

73.1%

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

▶

99.9%

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

series7.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

9 → 20

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (* eps eps) x) x) #s(hole binary64 (pow eps 2)))
#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 eps) x) x)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* 2 x) 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 eps) x) x)) #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 (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) #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)) (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) (* 2 x) 2 x eps (* (/ (* eps eps) x) x) (/ (* eps eps) x) (* eps eps))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) (* 2 x) 2 x eps (* (/ (* eps eps) x) x) (/ (* eps eps) x) (* eps eps))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) (* 2 x) 2 x eps (* (/ (* eps eps) x) x) (/ (* eps eps) x) (* eps eps))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) (* 2 x) 2 x eps (* (/ (* eps eps) x) x) (/ (* eps eps) x) (* eps eps))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (+ (* (* 2 x) eps) (* (/ (* eps eps) x) x)) (* 2 x) 2 x eps (* (/ (* eps eps) x) x) (/ (* eps eps) x) (* eps eps))

rewrite71.0ms (1.8%)

Memory

-11.0MiB live, 83.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	380
0	68	363
1	275	339
0	2062	333

Stop Event

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

Counts

29 → 130

Calls

Call 1

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

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

eval14.0ms (0.4%)

Memory: 25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 586 to 538 computations (85% saved)

prune290.0ms (7.3%)

Memory

-4.0MiB live, 376.2MiB allocated; 49ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Accuracy

100.0%

Counts

137 → 2

Alt Table

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Status	Accuracy	Program
✓	73.1%	(-.f64 (fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x)) (pow.f64 x #s(literal 2 binary64)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 (/.f64 (*.f64 eps eps) x) x)))

Status

Accuracy

Program

✓

73.1%

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

✓

99.9%

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

Compiler

Compiled 101 to 47 computations (53.5% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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
99.9%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

simplify70.0ms (1.8%)

Memory

-25.8MiB live, 69.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	21	42
2	49	42
3	167	42
4	592	38
5	2060	38
6	7857	38

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

derivations45.0ms (1.1%)

Memory

-12.0MiB live, 35.5MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 42 to 17 computations (59.5% saved)

preprocess13.0ms (0.3%)

Memory: 24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 102 to 48 computations (52.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (28%)

explain133.0ms (3.3%)

preprocess141.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

rewrite157.0ms (3.9%)

eval12.0ms (0.3%)

prune67.0ms (1.7%)

series54.0ms (1.4%)

rewrite266.0ms (6.6%)

eval88.0ms (2.2%)

prune1.4s (35.9%)

series7.0ms (0.2%)

rewrite71.0ms (1.8%)

eval14.0ms (0.4%)

prune290.0ms (7.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify70.0ms (1.8%)

derivations45.0ms (1.1%)

preprocess13.0ms (0.3%)

end0.0ms (0%)

Profiling