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)

sample1.3s (46.7%)

Memory

48.5MiB live, 1 851.1MiB allocated; 236ms collecting garbage

Samples

549.0ms	5 108×	0	valid
334.0ms	2 546×	1	valid
91.0ms	602×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-pow2: 384.0ms (67.3% of total)

ival-add!: 87.0ms (15.2% of total)

adjust: 70.0ms (12.3% of total)

ival-sub!: 30.0ms (5.3% of total)

Bogosity

explain154.0ms (5.7%)

Memory

-0.2MiB live, 193.5MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
74	-	-	`(-.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	74	0

Confusion

	Predicted +	Predicted -
+	74	0
-	0	182

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	318×	0	valid
17.0ms	158×	1	valid
5.0ms	36×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow2: 15.0ms (64.6% of total)

adjust: 4.0ms (17.2% of total)

ival-add!: 2.0ms (8.6% of total)

ival-sub!: 2.0ms (8.6% of total)

preprocess215.0ms (7.9%)

Memory

-47.8MiB live, 248.2MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series6.0ms (0.2%)

Memory

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

Counts

7 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite173.0ms (6.3%)

Memory

0.1MiB live, 192.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

36 → 120

Calls

Call 1

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

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

eval22.0ms (0.8%)

Memory: -8.1MiB live, 38.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 157 to 390 computations (81.9% saved)

prune4.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Accuracy

100.0%

Counts

120 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.0%	(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) eps (/.f64 (.f64 eps eps) x)) x))
▶	100.0%	#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))
▶	63.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	72.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 190 to 128 computations (32.6% saved)

series23.0ms (0.8%)

Memory

-9.0MiB live, 37.9MiB allocated; 2ms collecting garbage

Counts

21 → 66

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
4.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) (+ eps x) (* (neg x) x) (neg x) (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)

rewrite192.0ms (7.1%)

Memory

20.0MiB live, 208.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

87 → 409

Calls

Call 1

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

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

eval64.0ms (2.3%)

Memory: -27.4MiB live, 121.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 10 054 to 1 354 computations (86.5% saved)

prune14.0ms (0.5%)

Memory

41.4MiB live, 41.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	446	5	451
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
▶	63.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
✓	72.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
▶	38.3%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 193 to 128 computations (33.7% saved)

series11.0ms (0.4%)

Memory

-23.8MiB live, 23.6MiB allocated; 2ms collecting garbage

Counts

18 → 59

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite171.0ms (6.3%)

Memory

12.6MiB live, 200.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1117
0	171	1019
1	730	989
0	6367	925

Stop Event

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

Counts

77 → 381

Calls

Call 1

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

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

eval30.0ms (1.1%)

Memory: 10.5MiB live, 63.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 490 to 872 computations (86.6% saved)

prune9.0ms (0.3%)

Memory

-25.4MiB live, 21.5MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	268	8	276

Accuracy

100.0%

Counts

276 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
▶	63.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
▶	75.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
✓	72.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	38.3%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 134 to 87 computations (35.1% saved)

series5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

10 → 30

Calls

Call 1

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

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

rewrite108.0ms (4%)

Memory

4.9MiB live, 147.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	494
0	96	487
1	434	477
0	3563	450

Stop Event

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

Counts

40 → 88

Calls

Call 1

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

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

eval12.0ms (0.4%)

Memory: -22.9MiB live, 23.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 420 to 304 computations (87.4% saved)

prune6.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	92	8	100

Accuracy

100.0%

Counts

100 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps x) eps (*.f64 eps x)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
✓	63.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) x) x) eps))
✓	75.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 #s(approx (+ eps x) eps) x) eps))
✓	72.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	38.3%	#s(approx (+ (* (+ eps x) (+ eps x)) (* (neg x) x)) #s(literal 0 binary64))

Compiler

Compiled 358 to 146 computations (59.2% saved)

regimes15.0ms (0.6%)

Memory

-16.6MiB live, 29.8MiB allocated; 4ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes8.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	eps
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)

regimes10.0ms (0.4%)

Memory

-25.7MiB live, 21.1MiB allocated; 4ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
96.8%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
93.6%	3	`x`
88.0%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.6%	1	`eps`
75.6%	1	`x`
75.6%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.4%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
72.4%	1	`x`
72.4%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
38.3%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
38.3%	1	`x`
38.3%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.4e-322

Compiler

Compiled 12 to 12 computations (0% saved)

derivations161.0ms (5.9%)

Memory

-43.4MiB live, 156.5MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 129 to 38 computations (70.5% saved)

preprocess26.0ms (1%)

Memory: 13.5MiB live, 61.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 276 to 90 computations (67.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (46.7%)

explain154.0ms (5.7%)

preprocess215.0ms (7.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

rewrite173.0ms (6.3%)

eval22.0ms (0.8%)

prune4.0ms (0.2%)

series23.0ms (0.8%)

rewrite192.0ms (7.1%)

eval64.0ms (2.3%)

prune14.0ms (0.5%)

series11.0ms (0.4%)

rewrite171.0ms (6.3%)

eval30.0ms (1.1%)

prune9.0ms (0.3%)

series5.0ms (0.2%)

rewrite108.0ms (4%)

eval12.0ms (0.4%)

prune6.0ms (0.2%)

regimes15.0ms (0.6%)

regimes8.0ms (0.3%)

regimes10.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

derivations161.0ms (5.9%)

preprocess26.0ms (1%)

end0.0ms (0%)

Profiling