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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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)

sample1.7s (36.5%)

Memory

22.9MiB live, 2 394.5MiB allocated; 563ms collecting garbage

Samples

576.0ms	2 570×	1	valid
543.0ms	5 113×	0	valid
203.0ms	573×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 969.0ms

ival-pow2: 415.0ms (42.8% of total)

ival-<=: 145.0ms (15% of total)

adjust: 130.0ms (13.4% of total)

ival-add: 130.0ms (13.4% of total)

ival-sub: 106.0ms (10.9% of total)

ival-and: 23.0ms (2.4% of total)

exact: 17.0ms (1.8% of total)

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

Bogosity

explain146.0ms (3.1%)

Memory

-9.5MiB live, 194.2MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
79	2	(-4.601369631774366e-148 7.183649445902451e-176)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	81	0

Confusion

	Predicted +	Predicted -
+	79	0
-	2	175

Precision

0.9753086419753086

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	79	0	0
-	2	0	175

Precision?

0.9753086419753086

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	292×	0	valid
24.0ms	186×	1	valid
6.0ms	34×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-pow2: 31.0ms (55.1% of total)

ival-sub: 14.0ms (24.9% of total)

adjust: 7.0ms (12.4% of total)

ival-add: 4.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess165.0ms (3.5%)

Memory

-6.9MiB live, 130.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	30	51
2	110	51
3	486	49
4	1521	37
5	4312	37
0	7	9
0	11	9
1	16	9
2	44	9
3	157	9
4	570	7
5	1812	7
0	8588	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify119.0ms (2.5%)

Memory

-6.4MiB live, 125.2MiB allocated; 22ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 2 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
cost-diff	3	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	16	23
2	44	23
3	157	23
4	570	21
5	1812	21
0	8588	20

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (1%)

Memory

-4.5MiB live, 100.1MiB allocated; 12ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.0	(+.f64 x eps)
accuracy	0.03125	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
accuracy	17.169016360457068	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

26.0ms	146×	0	valid
13.0ms	93×	1	valid
3.0ms	17×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-pow2: 11.0ms (53.6% of total)

adjust: 5.0ms (24.4% of total)

ival-add: 2.0ms (9.7% of total)

ival-sub: 2.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 27

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)
(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 (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 (- (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) (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2))

simplify221.0ms (4.7%)

Memory

0.7MiB live, 181.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	415
1	271	401
2	924	377
3	4052	377
0	8199	364

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite65.0ms (1.4%)

Memory

1.4MiB live, 45.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	51	20
0	386	20

Stop Event

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

Counts

4 → 60

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)
(pow.f64 x #s(literal 2 binary64))

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

eval8.0ms (0.2%)

Memory: 14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 390 to 277 computations (80.1% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Accuracy

100.0%

Counts

83 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(-.f64 #s(approx (pow (+ x eps) 2) (.f64 (fma.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 eps eps))) (pow.f64 x #s(literal 2 binary64)))
▶	73.1%	(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	91.8%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
▶	65.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	69.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 196 to 132 computations (32.7% saved)

simplify252.0ms (5.3%)

Memory

-43.1MiB live, 140.5MiB allocated; 126ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 eps x) #s(literal -2 binary64))
cost-diff	0	(*.f64 eps x)
cost-diff	0	(.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
cost-diff	1	(+.f64 (+.f64 eps x) x)
cost-diff	4	(-.f64 (+.f64 eps x) x)
cost-diff	0	(*.f64 eps x)
cost-diff	0	(.f64 (.f64 eps x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x eps)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	140
0	37	130
1	65	126
2	162	118
3	517	118
4	2349	118
5	7889	118
0	8069	118

Stop Event

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

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

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

localize140.0ms (3%)

Memory

-4.8MiB live, 138.8MiB allocated; 22ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 eps x) #s(literal -2 binary64))
accuracy	0.0	(*.f64 eps x)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
accuracy	5.223805116688331	(.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
accuracy	0.0	(+.f64 eps x)
accuracy	0.0234375	(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
accuracy	0.04296875	(+.f64 (+.f64 eps x) x)
accuracy	30.955569141246972	(-.f64 (+.f64 eps x) x)
accuracy	0.0	(*.f64 eps x)
accuracy	0.0390625	(.f64 (.f64 eps x) #s(literal 2 binary64))
accuracy	22.00421879239746	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 eps eps)
accuracy	19.729515998218282	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x eps)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
accuracy	0.0234375	(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)

Samples

37.0ms	109×	1	valid
18.0ms	121×	0	valid
12.0ms	26×	2	valid

Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 14.0ms (29.3% of total)

adjust: 12.0ms (25.1% of total)

ival-pow2: 8.0ms (16.8% of total)

ival-add: 7.0ms (14.7% of total)

ival-sub: 4.0ms (8.4% of total)

ival-div: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.5%)

Memory

-17.5MiB live, 25.0MiB allocated; 16ms collecting garbage

Counts

15 → 58

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2))
3.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2))
2.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2))
2.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2))
2.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2))

simplify146.0ms (3.1%)

Memory

8.6MiB live, 156.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	726
1	279	724
2	744	660
3	2634	660
4	7395	660
0	8090	588

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

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

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

rewrite72.0ms (1.5%)

Memory

5.1MiB live, 50.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	37	119
1	151	112
0	1182	112

Stop Event

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

Counts

15 → 253

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

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

eval31.0ms (0.7%)

Memory: -9.1MiB live, 36.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 595 to 742 computations (86.7% saved)

prune8.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	257	4	261
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	261	6	267

Accuracy

100.0%

Counts

267 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	65.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	69.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 93 to 62 computations (33.3% saved)

simplify163.0ms (3.5%)

Memory

18.2MiB live, 113.9MiB allocated; 11ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (+ eps x) x) eps)
cost-diff	0	(+.f64 eps x)
cost-diff	0	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
cost-diff	1	(+.f64 (+.f64 eps x) x)
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(*.f64 eps x)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
cost-diff	2	(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(*.f64 (+.f64 eps x) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
cost-diff	2	(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
cost-diff	0	(*.f64 eps #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 eps #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	127
0	35	123
1	70	119
2	184	109
3	525	109
4	1735	109
5	5637	109
0	8227	100

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (2.6%)

Memory

7.8MiB live, 98.6MiB allocated; 7ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 eps x)
accuracy	0.0	#s(approx (- (+ eps x) x) eps)
accuracy	0.0234375	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
accuracy	0.04296875	(+.f64 (+.f64 eps x) x)
accuracy	0.0	(*.f64 eps x)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
accuracy	0.046875	(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
accuracy	0.0	(+.f64 eps x)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
accuracy	0.01171875	(*.f64 (+.f64 eps x) eps)
accuracy	0.03515625	(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
accuracy	0.0	(.f64 (.f64 eps #s(literal 2 binary64)) x)
accuracy	0.0	(*.f64 eps #s(literal 2 binary64))
accuracy	22.00421879239746	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))

Samples

77.0ms	109×	1	valid
17.0ms	121×	0	valid
15.0ms	26×	2	valid

Compiler

Compiled 103 to 22 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-pow2: 49.0ms (53.2% of total)

ival-mult: 15.0ms (16.3% of total)

adjust: 12.0ms (13% of total)

ival-add: 12.0ms (13% of total)

ival-sub: 4.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory

-30.7MiB live, 13.1MiB allocated; 8ms collecting garbage

Counts

14 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (- (+ eps x) x))
2.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (- (+ eps x) x))
2.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (- (+ eps x) x))
1.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (- (+ eps x) x))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps) (+ (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (- (+ eps x) x))

simplify176.0ms (3.7%)

Memory

13.0MiB live, 208.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	680
1	303	678
2	793	620
3	2592	620
4	7318	620
0	8004	560

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

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

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

rewrite72.0ms (1.5%)

Memory

-12.7MiB live, 47.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	35	110
1	155	106
0	1225	97

Stop Event

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

Counts

14 → 248

Calls

Call 1

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

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

eval30.0ms (0.6%)

Memory: -8.0MiB live, 38.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 021 to 689 computations (86.3% saved)

prune6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	217	7	224

Accuracy

100.0%

Counts

224 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
▶	65.6%	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
▶	72.8%	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	69.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 108 to 67 computations (38% saved)

simplify145.0ms (3.1%)

Memory

22.4MiB live, 110.3MiB allocated; 10ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (+ eps x) x) eps)
cost-diff	0	#s(approx (+ eps x) x)
cost-diff	0	(+.f64 #s(approx (+ eps x) x) x)
cost-diff	0	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
cost-diff	0	#s(approx (- (+ eps x) x) eps)
cost-diff	0	#s(approx (+ eps x) eps)
cost-diff	0	(+.f64 #s(approx (+ eps x) eps) x)
cost-diff	0	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	72
0	15	72
1	22	64
2	40	56
3	66	56
4	143	56
5	340	56
6	1030	56
7	1936	56
8	3102	56
9	7626	56
0	8129	56

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (1%)

Memory

-5.6MiB live, 47.8MiB allocated; 6ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (+ eps x) x) eps)
accuracy	0.0234375	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
accuracy	0.04296875	(+.f64 #s(approx (+ eps x) x) x)
accuracy	28.8458203287363	#s(approx (+ eps x) x)
accuracy	0.0	#s(approx (- (+ eps x) x) eps)
accuracy	0.0234375	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
accuracy	0.04296875	(+.f64 #s(approx (+ eps x) eps) x)
accuracy	35.45023095651287	#s(approx (+ eps x) eps)

Samples

30.0ms	109×	1	valid
6.0ms	121×	0	valid
5.0ms	26×	2	valid

Compiler

Compiled 54 to 8 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 6.0ms (34% of total)

adjust: 5.0ms (28.4% of total)

ival-add: 4.0ms (22.7% of total)

ival-mult: 2.0ms (11.3% of total)

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

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

series3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

7 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	((* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
0.0ms	eps	@	inf	((* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
0.0ms	x	@	-inf	((* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
0.0ms	x	@	inf	((* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x))
0.0ms	x	@	0	((* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x) (- (+ eps x) x) (* (+ (+ eps x) x) (- (+ eps x) x)) (+ (+ eps x) x) (+ eps x))

simplify152.0ms (3.2%)

Memory

-27.9MiB live, 107.5MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	260
1	198	234
2	551	218
3	1895	218
4	6875	218
0	8005	194

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite204.0ms (4.3%)

Memory

26.6MiB live, 164.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	61
0	15	61
1	65	55
2	511	49
3	7124	49
0	8499	49

Stop Event

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

Counts

7 → 175

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(approx (+ eps x) eps) x) (+.f64 #s(approx (+ eps x) eps) x)) #s(approx (- (+ eps x) x) eps)) (-.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(approx (+ eps x) eps) x) (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 #s(approx (+ eps x) eps) x) (+.f64 #s(approx (+ eps x) eps) x)) #s(approx (- (+ eps x) x) 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 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64))) #s(approx (- (+ eps x) x) eps)) (-.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) eps)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)) (.f64 (-.f64 x #s(approx (+ eps x) eps)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64))) #s(approx (- (+ eps x) x) eps)) (+.f64 (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) eps)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) eps) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x #s(approx (+ eps x) eps)) x) (-.f64 (*.f64 (-.f64 x #s(approx (+ eps x) eps)) x) (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64))) (pow.f64 #s(approx (+ eps x) eps) #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 #s(approx (+ eps x) eps) x) (+.f64 #s(approx (+ eps x) eps) x)) (/.f64 #s(approx (- (+ eps x) x) eps) (-.f64 #s(approx (+ eps x) eps) x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64))) (/.f64 #s(approx (- (+ eps x) x) eps) (fma.f64 (-.f64 x #s(approx (+ eps x) eps)) x (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)))))
(*.f64 #s(approx (- (+ eps x) x) eps) (+.f64 #s(approx (+ eps x) eps) x))
(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
(/.f64 (.f64 (.f64 (+.f64 #s(approx (+ eps x) eps) x) (-.f64 x #s(approx (+ eps x) eps))) #s(approx (- (+ eps x) x) eps)) (-.f64 x #s(approx (+ eps x) eps)))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 #s(approx (+ eps x) eps) x)) (-.f64 #s(approx (+ eps x) eps) x)) #s(approx (- (+ eps x) x) eps)) (neg.f64 (-.f64 #s(approx (+ eps x) eps) x)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) eps) #s(literal 3 binary64)))) #s(approx (- (+ eps x) x) eps)) (neg.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) eps)) x (pow.f64 #s(approx (+ eps x) eps) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(approx (+ eps x) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (fma.f64 (.f64 x (/.f64 x (-.f64 #s(approx (+ eps x) x) x))) (.f64 x (/.f64 x (-.f64 #s(approx (+ eps x) x) x))) (.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (*.f64 x (/.f64 x (-.f64 #s(approx (+ eps x) x) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 x #s(approx (+ eps x) x)))) (neg.f64 (-.f64 x #s(approx (+ eps x) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ eps x) x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (.f64 (-.f64 #s(approx (+ eps x) x) x) (.f64 x x))) (.f64 (-.f64 #s(approx (+ eps x) x) x) (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (*.f64 (+.f64 #s(approx (+ eps x) x) x) (-.f64 x #s(approx (+ eps x) x))) (-.f64 x #s(approx (+ eps x) x)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64))) (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 #s(approx (+ eps x) x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x)) (neg.f64 (-.f64 #s(approx (+ eps x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(approx (+ eps x) x) x) (+.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x))
(/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x)) (-.f64 #s(approx (+ eps x) x) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(approx (+ eps x) x) x) (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(approx (+ eps x) x) x) (+.f64 #s(approx (+ eps x) x) x))) (+.f64 #s(approx (+ eps x) x) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (.f64 (-.f64 x #s(approx (+ eps x) x)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) (-.f64 (*.f64 (-.f64 x #s(approx (+ eps x) x)) x) (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (.f64 (-.f64 x #s(approx (+ eps x) x)) x)) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (+ eps x) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x #s(approx (+ eps x) x)) x) (-.f64 (*.f64 (-.f64 x #s(approx (+ eps x) x)) x) (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64))) (pow.f64 #s(approx (+ eps x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 #s(approx (+ eps x) x)) (/.f64 (neg.f64 #s(approx (+ eps x) x)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(fma.f64 (fabs.f64 #s(approx (+ eps x) x)) (/.f64 (fabs.f64 #s(approx (+ eps x) x)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(fma.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (/.f64 #s(approx (+ eps x) x) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 #s(approx (+ eps x) x) (/.f64 #s(approx (+ eps x) x) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(fma.f64 #s(approx (+ eps x) x) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ eps x) x))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.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 x (/.f64 x (-.f64 #s(approx (+ eps x) x) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(approx (+ eps x) x)) x (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 #s(approx (+ eps x) x) #s(literal 2 binary64)) (-.f64 #s(approx (+ eps x) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(approx (+ eps x) x) x)))
(+.f64 #s(approx (+ eps x) x) x)
(+.f64 x #s(approx (+ eps x) x))
#s(approx (+ eps x) x)

eval36.0ms (0.8%)

Memory: -17.9MiB live, 27.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 633 to 608 computations (93% saved)

prune7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	183	7	190

Accuracy

100.0%

Counts

190 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(*.f64 (+.f64 (+.f64 eps x) x) #s(approx (- (+ eps x) x) eps))
✓	65.6%	(*.f64 (+.f64 #s(approx (+ eps x) x) x) #s(approx (- (+ eps x) x) eps))
✓	72.8%	(*.f64 (+.f64 #s(approx (+ eps x) eps) x) #s(approx (- (+ eps x) x) eps))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	69.2%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 309 to 121 computations (60.8% saved)

regimes12.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes31.0ms (0.7%)

Memory

-52.8MiB live, 11.5MiB allocated; 11ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.7%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
91.0%	3	`x`
86.3%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.8%	1	`eps`
72.8%	1	`x`
72.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.2%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
69.2%	1	`x`
69.2%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.9005824434137415e-299

Compiler

Compiled 12 to 12 computations (0% saved)

simplify45.0ms (1%)

Memory

-1.8MiB live, 43.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	38	80
2	72	70
3	206	70
4	840	70
5	4662	70

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations230.0ms (4.9%)

Memory

-10.7MiB live, 178.9MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 86 to 29 computations (66.3% saved)

preprocess20.0ms (0.4%)

Memory: 32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 190 to 72 computations (62.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.7s (36.5%)

explain146.0ms (3.1%)

preprocess165.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify119.0ms (2.5%)

localize49.0ms (1%)

series5.0ms (0.1%)

simplify221.0ms (4.7%)

rewrite65.0ms (1.4%)

eval8.0ms (0.2%)

prune4.0ms (0.1%)

simplify252.0ms (5.3%)

localize140.0ms (3%)

series21.0ms (0.5%)

simplify146.0ms (3.1%)

rewrite72.0ms (1.5%)

eval31.0ms (0.7%)

prune8.0ms (0.2%)

simplify163.0ms (3.5%)

localize123.0ms (2.6%)

series30.0ms (0.6%)

simplify176.0ms (3.7%)

rewrite72.0ms (1.5%)

eval30.0ms (0.6%)

prune6.0ms (0.1%)

simplify145.0ms (3.1%)

localize48.0ms (1%)

series3.0ms (0.1%)

simplify152.0ms (3.2%)

rewrite204.0ms (4.3%)

eval36.0ms (0.8%)

prune7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes31.0ms (0.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify45.0ms (1%)

derivations230.0ms (4.9%)

preprocess20.0ms (0.4%)

end0.0ms (0%)

Profiling