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)

sample1.8s (49.2%)

Memory

42.3MiB live, 2 451.4MiB allocated; 610ms collecting garbage

Samples

585.0ms	2 557×	1	valid
580.0ms	5 072×	0	valid
202.0ms	627×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 907.0ms

ival-pow2: 304.0ms (33.5% of total)

ival-<=: 190.0ms (21% of total)

ival-add: 185.0ms (20.4% of total)

adjust: 125.0ms (13.8% of total)

ival-sub: 61.0ms (6.7% of total)

ival-and: 23.0ms (2.5% of total)

exact: 16.0ms (1.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain135.0ms (3.7%)

Memory

1.9MiB live, 188.7MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
57	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	-	`eps`
0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	-	-	`(+.f64 x eps)`
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	57	0

Confusion

	Predicted +	Predicted -
+	57	0
-	0	199

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	0	0	199

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	199
1	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	338×	0	valid
22.0ms	154×	1	valid
4.0ms	20×	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: 17.0ms (57.5% of total)

adjust: 5.0ms (16.9% of total)

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

ival-sub: 3.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess153.0ms (4.2%)

Memory

4.5MiB live, 154.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	30	51
2	110	51
3	486	49
4	1521	37
5	4312	37
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: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.8%	(-.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)

series9.0ms (0.3%)

Memory

-32.2MiB live, 11.8MiB allocated; 6ms 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
4.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

simplify222.0ms (6%)

Memory

32.7MiB live, 318.1MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	421
1	273	407
2	926	383
3	4057	383
0	8216	370

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

rewrite58.0ms (1.6%)

Memory

12.1MiB live, 58.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	51	23
0	386	23

Stop Event

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

Counts

7 → 63

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

eval17.0ms (0.5%)

Memory: -34.4MiB live, 11.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 468 to 287 computations (80.4% saved)

prune4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Accuracy

100.0%

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(-.f64 (fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps)) (pow.f64 x #s(literal 2 binary64)))
▶	80.9%	(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	90.7%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
▶	62.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	78.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 176 to 116 computations (34.1% saved)

series15.0ms (0.4%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

20 → 61

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

Calls

6 calls:

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

simplify141.0ms (3.8%)

Memory

2.7MiB live, 138.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	743
1	282	739
2	748	673
3	2644	673
4	7413	673
0	8108	601

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 61

Calls

Call 1

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

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

rewrite87.0ms (2.4%)

Memory

16.0MiB live, 59.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	37	126
1	151	119
0	1182	119

Stop Event

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

Counts

20 → 262

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

eval40.0ms (1.1%)

Memory: -10.6MiB live, 53.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 6 148 to 787 computations (87.2% saved)

prune15.0ms (0.4%)

Memory

-12.3MiB live, 31.7MiB allocated; 8ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	290	5	295
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	293	8	301

Accuracy

100.0%

Counts

301 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
▶	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 x eps (*.f64 (+.f64 eps x) eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	62.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	62.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	78.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 208 to 137 computations (34.1% saved)

series11.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

20 → 64

Calls

Call 1

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

Calls

6 calls:

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

simplify203.0ms (5.5%)

Memory

-28.6MiB live, 207.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	814
1	313	810
2	806	736
3	2616	736
4	7292	736
0	8557	664

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

rewrite99.0ms (2.7%)

Memory

-12.5MiB live, 90.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	148
0	40	142
1	178	138
0	1342	126

Stop Event

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

Counts

20 → 357

Calls

Call 1

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

eval25.0ms (0.7%)

Memory: 39.5MiB live, 39.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 305 to 785 computations (87.5% saved)

prune54.0ms (1.5%)

Memory

-29.1MiB live, 17.0MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	273	8	281

Accuracy

100.0%

Counts

281 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
▶	62.9%	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
▶	80.7%	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	62.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
✓	78.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 123 to 77 computations (37.4% saved)

series8.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

13 → 40

Calls

Call 1

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

Calls

6 calls:

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

simplify143.0ms (3.9%)

Memory

-7.2MiB live, 135.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	520
1	239	486
2	645	440
3	2184	440
4	7039	440
0	9086	392

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite22.0ms (0.6%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	28	95
0	145	95

Stop Event

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

Counts

13 → 35

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 168 to 153 computations (86.9% saved)

prune6.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	59	8	67

Accuracy

100.0%

Counts

67 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
✓	62.9%	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
✓	80.7%	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	62.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
✓	78.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 350 to 134 computations (61.7% saved)

regimes48.0ms (1.3%)

Memory

-26.2MiB live, 20.3MiB allocated; 3ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	eps
4.0ms	x
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)

regimes7.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
92.9%	3	`x`
88.7%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	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
80.7%	1	`eps`
80.7%	1	`x`
80.7%	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)

regimes15.0ms (0.4%)

Memory

-40.8MiB live, 6.5MiB allocated; 1ms 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 eps eps))

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

Calls

3 calls:

13.0ms	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
78.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
78.0%	1	`x`
78.0%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.7583e-318

Compiler

Compiled 12 to 12 computations (0% saved)

simplify40.0ms (1.1%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	104
1	42	98
2	76	86
3	211	86
4	847	86
5	4666	86

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps)) (.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps)))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

derivations253.0ms (6.9%)

Memory

-25.0MiB live, 74.3MiB allocated; 22ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 104 to 33 computations (68.3% saved)

preprocess22.0ms (0.6%)

Memory: 34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 226 to 80 computations (64.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (49.2%)

explain135.0ms (3.7%)

preprocess153.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.3%)

simplify222.0ms (6%)

rewrite58.0ms (1.6%)

eval17.0ms (0.5%)

prune4.0ms (0.1%)

series15.0ms (0.4%)

simplify141.0ms (3.8%)

rewrite87.0ms (2.4%)

eval40.0ms (1.1%)

prune15.0ms (0.4%)

series11.0ms (0.3%)

simplify203.0ms (5.5%)

rewrite99.0ms (2.7%)

eval25.0ms (0.7%)

prune54.0ms (1.5%)

series8.0ms (0.2%)

simplify143.0ms (3.9%)

rewrite22.0ms (0.6%)

eval5.0ms (0.1%)

prune6.0ms (0.2%)

regimes48.0ms (1.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes15.0ms (0.4%)

bsearch0.0ms (0%)

simplify40.0ms (1.1%)

derivations253.0ms (6.9%)

preprocess22.0ms (0.6%)

end0.0ms (0%)

Profiling