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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 25 to 18 computations (28% saved)

sample2.5s (55.4%)

Memory

-93.4MiB live, 2 497.0MiB allocated; 1.6s collecting garbage

Samples

1.2s	5 054×	0	valid
540.0ms	2 573×	1	valid
226.0ms	629×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-pow2: 345.0ms (38.2% of total)

ival-<=: 161.0ms (17.8% of total)

ival-add: 156.0ms (17.3% of total)

adjust: 138.0ms (15.3% of total)

ival-sub: 62.0ms (6.9% of total)

ival-and: 22.0ms (2.4% of total)

exact: 17.0ms (1.9% of total)

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

Bogosity

explain160.0ms (3.6%)

Memory

2.2MiB live, 281.8MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	1	(-3.759256083853879e-152 -3.6873057237874874e-172)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	74	0

Confusion

	Predicted +	Predicted -
+	73	0
-	1	182

Precision

0.9864864864864865

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	1	0	182

Precision?

0.9864864864864865

Recall?

1.0

Freqs

test

number	freq
0	182
1	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	304×	0	valid
25.0ms	36×	2	valid
22.0ms	172×	1	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

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

adjust: 24.0ms (49.8% of total)

ival-pow2: 15.0ms (31.1% of total)

ival-add: 4.0ms (8.3% of total)

ival-sub: 4.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess31.0ms (0.7%)

Memory

-28.7MiB live, 26.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	30	51
2	97	51
3	472	49
4	1479	37
5	4095	35

Stop Event

1×	node limit

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(-.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)

simplify0.0ms (0%)

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

localize32.0ms (0.7%)

Memory

16.8MiB live, 62.6MiB allocated; 4ms 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	0.03515625	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
accuracy	15.913354979694656	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

11.0ms	86×	1	valid
9.0ms	152×	0	valid
3.0ms	18×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow2: 7.0ms (47.6% of total)

adjust: 3.0ms (20.4% of total)

ival-add: 2.0ms (13.6% of total)

ival-sub: 2.0ms (13.6% 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

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

4 → 23

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
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
eps
(+ eps x)
(pow x 2)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
x
(* x (+ 1 (/ eps x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ eps (* 2 x)))
(+ (* 2 (* eps x)) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(* eps (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
(* -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))

simplify5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	217

Stop Event

1×	iter limit

Counts

23 → 21

Calls

Call 1

Inputs
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
eps
(+ eps x)
(pow x 2)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
x
(* x (+ 1 (/ eps x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ eps (* 2 x)))
(+ (* 2 (* eps x)) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(* eps (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

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

rewrite168.0ms (3.8%)

Memory

4.1MiB live, 236.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	51	20
2	364	20
3	5050	20
0	8368	20

Stop Event

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

Counts

4 → 311

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 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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))) (pow.f64 (+.f64 eps x) #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) (-.f64 (neg.f64 (+.f64 eps x)) x))
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(*.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.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 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))))
(/.f64 (-.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 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) #s(literal 2 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (fabs.f64 (-.f64 eps x)))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps))) (fabs.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (fabs.f64 (-.f64 x eps)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (exp.f64 (log.f64 (-.f64 x eps))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 (fma.f64 eps eps (.f64 x x)) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps)) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 eps x)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (+.f64 eps x) eps (.f64 x x)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) eps)
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) eps)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(-.f64 eps (neg.f64 x))
(fabs.f64 (-.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps)))))
(fabs.f64 (neg.f64 (+.f64 eps x)))
(fabs.f64 (+.f64 eps x))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (+.f64 eps x)))
(+.f64 (cosh.f64 (log.f64 (+.f64 eps x))) (sinh.f64 (log.f64 (+.f64 eps x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(+.f64 eps x)
(+.f64 x eps)
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #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)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.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))))

eval36.0ms (0.8%)

Memory: 11.4MiB live, 56.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 818 to 1 154 computations (85.2% saved)

prune50.0ms (1.1%)

Memory

-17.2MiB live, 35.1MiB allocated; 40ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	327	5	332
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	328	5	333

Accuracy

100.0%

Counts

333 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.9%	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 x eps)) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (*.f64 (neg.f64 x) x))
▶	75.1%	(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
▶	88.5%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
▶	67.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 178 to 112 computations (37.1% saved)

simplify0.0ms (0%)

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

localize169.0ms (3.8%)

Memory

-4.0MiB live, 182.8MiB allocated; 42ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
accuracy	0.1328125	(*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 x eps))
accuracy	23.845261955630786	(fma.f64 (/.f64 (.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 x eps)) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (*.f64 (neg.f64 x) x))
accuracy	27.77692737177873	(/.f64 (.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 x eps)) (.f64 (-.f64 x eps) (+.f64 eps x)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (/.f64 x eps))
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
accuracy	7.3689755954030804	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
accuracy	0.0	(+.f64 eps x)
accuracy	0.01171875	(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
accuracy	0.03515625	(+.f64 (+.f64 eps x) x)
accuracy	31.588129407001276	(-.f64 (+.f64 eps x) x)
accuracy	0.0	(*.f64 eps x)
accuracy	0.03125	(.f64 #s(literal 2 binary64) (.f64 eps x))
accuracy	20.89151525345805	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))
accuracy	0.0	(+.f64 eps (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
accuracy	0.01171875	(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))

Samples

87.0ms	112×	1	valid
27.0ms	118×	0	valid
19.0ms	26×	2	valid

Compiler

Compiled 196 to 33 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow2: 38.0ms (34.8% of total)

adjust: 24.0ms (22% of total)

ival-mult: 22.0ms (20.1% of total)

ival-add: 12.0ms (11% of total)

ival-div: 6.0ms (5.5% of total)

ival-sub: 6.0ms (5.5% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory

3.7MiB live, 47.4MiB allocated; 7ms collecting garbage

Counts

19 → 60

Calls

Call 1

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

Outputs
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 x)
eps
(+ eps (* 2 x))
(* 2 (* eps x))
(* eps x)
(+ eps x)
1
(+ 1 (* 2 (/ x eps)))
(* 2 (/ x eps))
(* -1 (pow eps 3))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (pow eps 2))))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (+ (* x (+ (* -1 eps) (* 2 eps))) (pow eps 2)))))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (+ (* x (+ x (+ (* -1 eps) (* 2 eps)))) (pow eps 2)))))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ 2 (/ eps x)))
x
(* x (+ 1 (/ eps x)))
(* x (+ (* 2 (/ 1 eps)) (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ eps x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ eps x)) (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 3) (pow x 3))) (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ eps x)) (/ eps x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow eps 2) x)) (+ (* -1 (+ eps (* -2 eps))) (/ (pow eps 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ eps (* -2 eps))) (* -1 (/ (+ (* -1 (+ (* -2 (pow eps 2)) (pow eps 2))) (/ (pow eps 3) x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(* eps (+ eps (* 2 x)))
(/ (+ eps (* 2 x)) eps)
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* eps (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* eps (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* eps (+ x (* -2 x)))))) (pow x 3))
(+ (* eps (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* eps (+ x (+ (* -2 x) (* -1 eps))))))) (pow x 3))
(+ (* 2 (* eps x)) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (/ x eps)) 1))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ x eps)))) 1))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 3) (pow eps 3)))))) 1))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (* -2 x)) eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) eps)))) eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) eps)) (pow x 2))) eps)))) eps)))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))

Calls

6 calls:

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

simplify8.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	859

Stop Event

1×	iter limit

Counts

60 → 58

Calls

Call 1

Inputs
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 x)
eps
(+ eps (* 2 x))
(* 2 (* eps x))
(* eps x)
(+ eps x)
1
(+ 1 (* 2 (/ x eps)))
(* 2 (/ x eps))
(* -1 (pow eps 3))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (pow eps 2))))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (+ (* x (+ (* -1 eps) (* 2 eps))) (pow eps 2)))))
(+ (* -1 (pow eps 3)) (* x (+ (* -2 (pow eps 2)) (+ (* x (+ x (+ (* -1 eps) (* 2 eps)))) (pow eps 2)))))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ 2 (/ eps x)))
x
(* x (+ 1 (/ eps x)))
(* x (+ (* 2 (/ 1 eps)) (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (+ (* -1 (/ eps x)) (* 2 (/ eps x)))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ eps x)) (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (+ (* -2 (/ (pow eps 2) (pow x 2))) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 3) (pow x 3))) (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* (pow x 3) (- (+ (* -2 (/ eps x)) (/ eps x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -2 (/ (pow eps 2) x)) (+ (* -1 (+ eps (* -2 eps))) (/ (pow eps 2) x))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (+ eps (* -2 eps))) (* -1 (/ (+ (* -1 (+ (* -2 (pow eps 2)) (pow eps 2))) (/ (pow eps 3) x)) x))) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(* eps (+ eps (* 2 x)))
(/ (+ eps (* 2 x)) eps)
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* eps (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 3))
(+ (* eps (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* eps (+ x (* -2 x)))))) (pow x 3))
(+ (* eps (+ (* -1 (pow x 2)) (+ (* 2 (pow x 2)) (* eps (+ x (+ (* -2 x) (* -1 eps))))))) (pow x 3))
(+ (* 2 (* eps x)) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (/ x eps)) 1))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (/ x eps)))) 1))
(* (pow eps 3) (- (+ (* -2 (/ x eps)) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 3) (pow eps 3)))))) 1))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (* -2 x)) eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (pow x 2)) eps)))) eps)))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (/ (+ x (+ (* -2 x) (* -1 (/ (+ (* -2 (pow x 2)) (+ (* -1 (/ (pow x 3) eps)) (pow x 2))) eps)))) eps)))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))

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

rewrite225.0ms (5.1%)

Memory

-25.0MiB live, 306.6MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	179
0	56	151
1	251	145
2	2324	145
0	9083	133

Stop Event

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

Counts

19 → 1 664

Calls

Call 1

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

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

eval280.0ms (6.3%)

Memory: 3.4MiB live, 295.7MiB allocated; 118ms collecting garbage
Compiler: Compiled 64 846 to 5 828 computations (91% saved)

prune33.0ms (0.7%)

Memory

-15.9MiB live, 88.3MiB allocated; 11ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 618	4	1 622
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 622	5	1 627

Accuracy

100.0%

Counts

1 627 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 x eps) #s(literal 2 binary64))))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
▶	67.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 x #s(literal 2 binary64)) eps))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x eps) x)))
✓	67.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 81 to 56 computations (30.9% saved)

simplify0.0ms (0%)

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

localize68.0ms (1.5%)

Memory

11.1MiB live, 103.0MiB allocated; 7ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x eps)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 x eps) #s(literal 2 binary64))))
accuracy	0.00390625	(fma.f64 eps eps (.f64 (.f64 x eps) #s(literal 2 binary64)))
accuracy	0.03125	(.f64 (.f64 x eps) #s(literal 2 binary64))
accuracy	0.0	(fma.f64 x #s(literal 2 binary64) eps)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
accuracy	0.01171875	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) eps)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	20.89151525345805	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 x #s(literal 2 binary64)) eps))
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x eps) x)))
accuracy	0.01171875	(*.f64 eps (+.f64 (+.f64 x eps) x))
accuracy	0.03515625	(+.f64 (+.f64 x eps) x)

Samples

29.0ms	86×	1	valid
20.0ms	152×	0	valid
7.0ms	18×	2	valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 12.0ms (29.9% of total)

ival-pow2: 12.0ms (29.9% of total)

adjust: 7.0ms (17.5% of total)

ival-add: 7.0ms (17.5% of total)

ival-sub: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

14 → 21

Calls

Call 1

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

Outputs
eps
(+ eps (* 2 x))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ eps x)
(* 2 x)
(* 2 (* eps x))
(* eps x)
(* x (+ 2 (/ eps x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
x
(* x (+ 1 (/ eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ eps (* 2 x)))
(* eps (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory

3.1MiB live, 3.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	148

Stop Event

1×	iter limit

Counts

21 → 19

Calls

Call 1

Inputs
eps
(+ eps (* 2 x))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ eps x)
(* 2 x)
(* 2 (* eps x))
(* eps x)
(* x (+ 2 (/ eps x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
x
(* x (+ 1 (/ eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ eps (* 2 x)))
(* eps (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

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

rewrite159.0ms (3.6%)

Memory

-14.1MiB live, 171.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	32	116
1	126	108
2	922	108
0	8444	108

Stop Event

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

Counts

14 → 686

Calls

Call 1

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

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

eval59.0ms (1.3%)

Memory: 1.5MiB live, 45.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 914 to 1 369 computations (87.5% saved)

prune8.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	332	1	333
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	333	5	338

Accuracy

100.0%

Counts

338 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 x eps) #s(literal 2 binary64))))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
▶	67.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x eps) x)))
✓	67.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 81 to 55 computations (32.1% saved)

simplify0.0ms (0%)

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

localize73.0ms (1.6%)

Memory

-14.1MiB live, 41.6MiB allocated; 10ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 (+.f64 x x) eps)
accuracy	20.89151525345805	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))

Samples

53.0ms	86×	1	valid
10.0ms	152×	0	valid
3.0ms	18×	2	valid

Compiler

Compiled 21 to 10 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow2: 49.0ms (83.4% of total)

adjust: 3.0ms (5.1% of total)

ival-add: 3.0ms (5.1% of total)

ival-sub: 2.0ms (3.4% of total)

ival-mult: 2.0ms (3.4% of total)

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

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

series4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

3 → 8

Calls

Call 1

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

Outputs
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* 2 x)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps (+ eps (* 2 x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))

Calls

6 calls:

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

simplify2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	61

Stop Event

1×	iter limit

Counts

8 → 8

Calls

Call 1

Inputs
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* 2 x)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps (+ eps (* 2 x)))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))

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

rewrite41.0ms (0.9%)

Memory

-23.7MiB live, 22.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	23
1	60	23
0	441	23

Stop Event

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

Counts

3 → 21

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 529 to 104 computations (80.3% saved)

prune4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	29	5	34

Accuracy

100.0%

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 x eps) #s(literal 2 binary64))))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps))
✓	67.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 x eps) x)))
✓	67.3%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 #s(literal 2 binary64) (.f64 eps x)))

Compiler

Compiled 260 to 109 computations (58.1% saved)

regimes10.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes5.0ms (0.1%)

Memory

6.5MiB live, 6.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.4%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
67.4%	1	`x`
67.4%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

derivations292.0ms (6.6%)

Memory

-41.7MiB live, 114.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	32	116
1	126	108
2	922	108
0	8444	108
0	69	217
0	33	179
0	56	151
1	251	145
2	2324	145
0	9083	133

Stop Event

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

Compiler

Compiled 48 to 18 computations (62.5% saved)

preprocess15.0ms (0.3%)

Memory: 17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 114 to 50 computations (56.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (55.4%)

explain160.0ms (3.6%)

preprocess31.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize32.0ms (0.7%)

series5.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite168.0ms (3.8%)

eval36.0ms (0.8%)

prune50.0ms (1.1%)

simplify0.0ms (0%)

localize169.0ms (3.8%)

series22.0ms (0.5%)

simplify8.0ms (0.2%)

rewrite225.0ms (5.1%)

eval280.0ms (6.3%)

prune33.0ms (0.7%)

simplify0.0ms (0%)

localize68.0ms (1.5%)

series7.0ms (0.2%)

simplify3.0ms (0.1%)

rewrite159.0ms (3.6%)

eval59.0ms (1.3%)

prune8.0ms (0.2%)

simplify0.0ms (0%)

localize73.0ms (1.6%)

series4.0ms (0.1%)

simplify2.0ms (0%)

rewrite41.0ms (0.9%)

eval2.0ms (0.1%)

prune4.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

derivations292.0ms (6.6%)

preprocess15.0ms (0.3%)

end0.0ms (0%)

Profiling