Metrics for ENA, Section 1.4, Exercise 4b, n=5

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 19 computations (24% saved)

sample1.7s (21.5%)

Memory

58.1MiB live, 1 917.7MiB allocated

Samples

1.1s	6 757×	0	valid
237.0ms	1 229×	1	valid
67.0ms	270×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-pow: 462.0ms (39.6% of total)

ival-<=: 345.0ms (29.6% of total)

ival-add: 148.0ms (12.7% of total)

ival-sub: 110.0ms (9.4% of total)

adjust: 52.0ms (4.5% of total)

ival-and: 23.0ms (2% of total)

exact: 22.0ms (1.9% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain111.0ms (1.4%)

Memory

1.9MiB live, 161.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 5 binary64))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(pow.f64 x #s(literal 5 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`	cancellation	25	0

Confusion

	Predicted +	Predicted -
+	25	0
-	0	231

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	0	0	231

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	424×	0	valid
12.0ms	76×	1	valid
3.0ms	12×	2	valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-pow: 23.0ms (69.2% of total)

ival-add: 3.0ms (9% of total)

ival-sub: 3.0ms (9% of total)

adjust: 2.0ms (6% of total)

ival-true: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

preprocess38.0ms (0.5%)

Memory

-8.6MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	39	49
2	93	47
3	200	47
4	368	47
5	496	47
6	572	47
7	594	47
8	598	47
0	7	9
0	11	9
1	14	9
2	19	9
3	29	9
4	45	9
5	80	9
6	120	9
7	142	9
8	146	9
0	146	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	14	23
2	19	23
3	29	23
4	45	23
5	80	23
6	120	23
7	142	23
8	146	23
0	146	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

localize58.0ms (0.7%)

Memory

-0.3MiB live, 37.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 5 binary64))
accuracy	0.0	(+.f64 x eps)
accuracy	0.006191259768442017	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy	5.5084959083032885	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Samples

45.0ms	212×	0	valid
6.0ms	38×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 11.0ms (67.7% of total)

ival-add: 2.0ms (12.3% of total)

adjust: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 38

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))

Outputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
eps
(+ eps x)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
2.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	x	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))

simplify210.0ms (2.6%)

Memory

-32.5MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	959
1	909	859
2	4157	688
0	8532	649

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

Calls

Call 1

Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
eps
(+ eps x)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 eps eps)) x (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 eps x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x) eps) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) eps) eps (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) (.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -10 binary64) (.f64 eps eps) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -10 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -10 binary64) (.f64 eps eps) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (.f64 x x) (.f64 (.f64 #s(literal 5 binary64) x) eps)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) eps) (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -10 binary64) (.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps)))

rewrite208.0ms (2.6%)

Memory

17.9MiB live, 91.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	52	20
2	387	20
3	4411	20
0	8288	20

Stop Event

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

Counts

4 → 306

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (-.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (neg.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))
(.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))))
(.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 10 binary64)) (pow.f64 x #s(literal 20 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 30 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 45 binary64)) (pow.f64 x #s(literal 45 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 15 binary64)) (pow.f64 x #s(literal 30 binary64))) (pow.f64 (+.f64 eps x) #s(literal 30 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))
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(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(pow.f64 (neg.f64 x) #s(literal 5 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 5 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)))) (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 10 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fabs.f64 (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/2 binary64))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))))

eval53.0ms (0.7%)

Memory: -9.2MiB live, 29.0MiB allocated
Compiler: Compiled 8 740 to 1 211 computations (86.1% saved)

prune33.0ms (0.4%)

Memory

-22.4MiB live, 23.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	331	8	339
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	331	9	340

Accuracy

100.0%

Counts

340 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
✓	91.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
▶	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
	87.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
▶	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
▶	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
▶	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
	81.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))))

Compiler

Compiled 351 to 257 computations (26.8% saved)

simplify130.0ms (1.6%)

Memory

28.2MiB live, 66.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
cost-diff	0	(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
cost-diff	0	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff	1	(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
cost-diff	2	(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))
cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff	0	(/.f64 x eps)
cost-diff	0	(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	245
0	60	245
1	103	241
2	261	241
3	1038	238
4	3018	238
5	5748	238
6	6713	238
7	7432	238
0	8010	235

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))
#s(literal 5 binary64)
eps
(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
#s(literal -10 binary64)
(*.f64 eps eps)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 10 binary64)
eps
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 5/4 binary64)

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
x
eps
#s(literal 5 binary64)
#s(literal 1 binary64)
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)
#s(literal 5 binary64)
eps
(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 10 binary64) x) eps) eps)
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
#s(literal -10 binary64)
(*.f64 eps eps)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(.f64 (fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 10 binary64)
eps
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 5 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 5/4 binary64)

localize231.0ms (2.8%)

Memory

-11.9MiB live, 106.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.006191259768442017	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy	0.05859375	(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
accuracy	2.4746500938846787	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
accuracy	0.0625	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
accuracy	0.09110128162065376	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
accuracy	0.22236254884221007	(.f64 #s(literal -10 binary64) (.f64 eps eps))
accuracy	0.2522566809983966	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
accuracy	17.44825718429293	(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
accuracy	0.0	(pow.f64 eps #s(literal 5 binary64))
accuracy	5.949753348764481	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
accuracy	0.0	(/.f64 x eps)
accuracy	0.1328125	(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
accuracy	0.37966023864058873	(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
accuracy	5.931679472651423	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))

Samples

126.0ms	201×	0	valid
74.0ms	46×	1	valid
6.0ms	9×	2	valid

Compiler

Compiled 452 to 74 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-pow: 67.0ms (49.4% of total)

ival-add: 38.0ms (28% of total)

ival-mult: 16.0ms (11.8% of total)

adjust: 5.0ms (3.7% of total)

ival-div: 4.0ms (2.9% of total)

ival-sub: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series157.0ms (1.9%)

Memory

20.8MiB live, 211.2MiB allocated

Counts

20 → 77

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))
(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))

Outputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
1
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 10 (pow x 3))
eps
(+ eps x)
(pow x 5)
(* 5 (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 2 (pow x 5))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (pow x 5))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* 5 x)))
(/ (+ eps (* 5 x)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(* -10 (pow eps 2))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	x	@	0	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (/ (* -10 (* eps eps)) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (pow (+ x eps) 5) (+ x eps) (pow (pow x 4) 5/4) (* -10 (* eps eps)) (* (pow x 4) 5))
20.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (/ (* -10 (* eps eps)) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (pow (+ x eps) 5) (+ x eps) (pow (pow x 4) 5/4) (* -10 (* eps eps)) (* (pow x 4) 5))
20.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (/ (* -10 (* eps eps)) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (pow (+ x eps) 5) (+ x eps) (pow (pow x 4) 5/4) (* -10 (* eps eps)) (* (pow x 4) 5))
18.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (/ (* -10 (* eps eps)) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (pow (+ x eps) 5) (+ x eps) (pow (pow x 4) 5/4) (* -10 (* eps eps)) (* (pow x 4) 5))
18.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (/ (* -10 (* eps eps)) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) eps) (+ (* (* (pow x 3) 10) eps) (* (pow x 4) 5)) (* (pow x 3) 10) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (pow (+ x eps) 5) (+ x eps) (pow (pow x 4) 5/4) (* -10 (* eps eps)) (* (pow x 4) 5))

simplify206.0ms (2.5%)

Memory

10.6MiB live, 208.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	1409
1	1214	1265
2	5198	1210
0	8603	1126

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

Calls

Call 1

Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
1
(+ 1 (* 5 (/ x eps)))
(/ x eps)
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 10 (pow x 3))
eps
(+ eps x)
(pow x 5)
(* 5 (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* 2 (pow x 5))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (pow x 5))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* 5 x)))
(/ (+ eps (* 5 x)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(* -10 (pow eps 2))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 10 binary64)) (.f64 eps eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 5 (/ x eps)))
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/ x eps)
(/.f64 x eps)
(* 10 (/ (pow eps 2) x))
(.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 10 (* (pow eps 2) (pow x 3)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))))
(* 10 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* 10 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
eps
(+ eps x)
(+.f64 eps x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) eps) eps (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* (pow eps 4) x))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)
(* 5 (/ x eps))
(*.f64 (/.f64 #s(literal 5 binary64) eps) x)
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) (.f64 #s(literal 5 binary64) eps)) x)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) eps)) x)) (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) eps) x) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (fma.f64 (.f64 eps eps) #s(literal -6 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* 2 (pow x 5))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5 binary64) eps) x (.f64 (.f64 x x) #s(literal 10 binary64))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(/ (+ eps (* 5 x)) eps)
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(* -10 (pow eps 2))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) eps) (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) eps)) eps)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x (/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) eps)) eps) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 8 binary64)) eps) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps)
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps)
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) (.f64 (.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (.f64 #s(literal -10 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps)))

rewrite239.0ms (3%)

Memory

-1.4MiB live, 280.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	203
0	60	199
1	209	195
2	1484	195
0	8377	195

Stop Event

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

Counts

20 → 613

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))
(/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(.f64 (pow.f64 eps #s(literal 5/2 binary64)) (.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))))
(+.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))))
(.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 x eps)) #s(literal 5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (/.f64 x eps)) #s(literal 5 binary64)) (.f64 (neg.f64 (/.f64 x eps)) #s(literal 5 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 x eps)) #s(literal 5 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -5 binary64) (/.f64 x eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -5 binary64) (/.f64 x eps)) (.f64 #s(literal -5 binary64) (/.f64 x eps)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (/.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))) (-.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 5 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 5 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x eps) #s(literal 5 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -3 binary64)) #s(literal 125 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 5 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x 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 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (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 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (-.f64 (.f64 eps eps) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 (neg.f64 eps))) x)
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (/.f64 (.f64 eps (neg.f64 eps)) (-.f64 x eps)))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)) (-.f64 x eps)))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 eps eps)) (-.f64 x eps)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) eps)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) eps)
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(exp.f64 (log.f64 (+.f64 eps x)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (.f64 x x) (.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 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps (neg.f64 eps)) (-.f64 x eps)))
(+.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)) (-.f64 x eps)))
(+.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(+.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (neg.f64 (.f64 eps eps)) (-.f64 x eps)))
(+.f64 eps x)
(+.f64 x eps)
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 5/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 5/2 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 x x)) #s(literal 5/4 binary64)) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 5 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (exp.f64 #s(literal 5/4 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 5/8 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))
(pow.f64 x #s(literal 5 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64)))))))
(sqrt.f64 (pow.f64 x #s(literal 10 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(fabs.f64 (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/8 binary64) (.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/8 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/8 binary64) (.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/8 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 5/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 5 binary64))))
(.f64 (.f64 #s(literal -10 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal -10 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -10 binary64)))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal -10 binary64) eps))
(.f64 (fabs.f64 (.f64 #s(literal 5 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 #s(literal 5 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (fabs.f64 (.f64 (.f64 x x) #s(literal 5 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 25 binary64) (pow.f64 x #s(literal 8 binary64))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5 binary64)))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))

eval83.0ms (1%)

Memory: -13.7MiB live, 141.6MiB allocated
Compiler: Compiled 24 150 to 2 863 computations (88.1% saved)

prune31.0ms (0.4%)

Memory

-1.4MiB live, 37.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	698	5	703
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	703	9	712

Accuracy

100.0%

Counts

712 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.2%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
✓	91.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
▶	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
✓	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
	87.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
▶	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
▶	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
▶	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
▶	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

Compiler

Compiled 327 to 235 computations (28.1% saved)

simplify122.0ms (1.5%)

Memory

-32.6MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
cost-diff	0	(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	1	(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
cost-diff	0	(*.f64 #s(literal 5 binary64) eps)
cost-diff	0	#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
cost-diff	0	(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
cost-diff	2	(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
cost-diff	4	(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x))
cost-diff	0	(pow.f64 eps #s(literal 4 binary64))
cost-diff	0	(fma.f64 #s(literal 5 binary64) x eps)
cost-diff	0	(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	295
0	69	295
1	132	289
2	371	278
3	1679	274
4	6187	274
0	8027	264

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
#s(literal -5 binary64)
(/.f64 eps x)
eps
x
#s(literal -2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
(.f64 (.f64 (*.f64 x x) eps) (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)))
(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps)
(/.f64 (*.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(literal 10 binary64)
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))))
(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)))
#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)))
(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
(fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
(fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal -2 binary64))
#s(literal -5 binary64)
(/.f64 eps x)
eps
x
#s(literal -2 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

localize145.0ms (1.8%)

Memory

32.6MiB live, 189.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
accuracy	0.01171875	(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.171875	(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
accuracy	13.489432951004435	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.02734375	(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
accuracy	0.029628759768442016	(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
accuracy	7.98059141079417	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
accuracy	0.0	(*.f64 #s(literal 5 binary64) eps)
accuracy	0.2522566809983966	(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
accuracy	30.637558777781994	#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
accuracy	0.18485128162065376	(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
accuracy	3.8447393062048696	(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
accuracy	17.499821217202783	(/.f64 (*.f64 eps eps) x)
accuracy	0.0	(fma.f64 #s(literal 5 binary64) x eps)
accuracy	0.0	(pow.f64 eps #s(literal 4 binary64))
accuracy	0.046875	(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
accuracy	5.931679472651423	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))

Samples

81.0ms	197×	0	valid
27.0ms	48×	1	valid
12.0ms	11×	2	valid

Compiler

Compiled 523 to 91 computations (82.6% saved)

Precisions

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

ival-pow: 39.0ms (42.2% of total)

ival-mult: 22.0ms (23.8% of total)

ival-add: 10.0ms (10.8% of total)

ival-div: 9.0ms (9.7% of total)

adjust: 5.0ms (5.4% of total)

ival-sub: 3.0ms (3.2% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series152.0ms (1.9%)

Memory

-30.1MiB live, 250.4MiB allocated

Counts

21 → 79

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
(pow.f64 eps #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x))
(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
(/.f64 (*.f64 eps eps) x)

Outputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
eps
(+ eps (* 5 x))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* eps (pow x 4))
(pow x 4)
(* 5 (/ eps x))
(/ (- (* 2 x) (* -5 eps)) x)
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(* -5 (/ eps x))
(/ (+ (* -5 eps) (* -2 x)) x)
(/ (pow eps 2) x)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
2
(+ 2 (* 5 (/ eps x)))
(* 2 (pow x 5))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
-2
(- (* -5 (/ eps x)) 2)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 4)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x))))
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(* -1 (* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps)))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps))))
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(* -1 (* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
51.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (neg (+ (* -5 (/ eps x)) -2)) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (+ (* -5 (/ eps x)) -2) (/ (* eps eps) x))
29.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (neg (+ (* -5 (/ eps x)) -2)) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (+ (* -5 (/ eps x)) -2) (/ (* eps eps) x))
19.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (neg (+ (* -5 (/ eps x)) -2)) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (+ (* -5 (/ eps x)) -2) (/ (* eps eps) x))
18.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (neg (+ (* -5 (/ eps x)) -2)) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (+ (* -5 (/ eps x)) -2) (/ (* eps eps) x))
15.0ms	eps	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (pow eps 4) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (pow x 4)) (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* (pow x 4) eps) 5) (* (pow x 4) eps) (pow x 4) (neg (+ (* -5 (/ eps x)) -2)) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (+ (* -5 (/ eps x)) -2) (/ (* eps eps) x))

simplify221.0ms (2.7%)

Memory

1.4MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1260
1	1216	1139
2	5157	1109
0	8110	1035

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
eps
(+ eps (* 5 x))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 5 (* eps (pow x 4)))
(* eps (pow x 4))
(pow x 4)
(* 5 (/ eps x))
(/ (- (* 2 x) (* -5 eps)) x)
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(* -5 (/ eps x))
(/ (+ (* -5 eps) (* -2 x)) x)
(/ (pow eps 2) x)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 x)
(* x (+ 5 (/ eps x)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
2
(+ 2 (* 5 (/ eps x)))
(* 2 (pow x 5))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
-2
(- (* -5 (/ eps x)) 2)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 4)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x))))
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(* -1 (* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps)))))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps))))
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(* -1 (* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x)))))

Outputs
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
eps
(+ eps (* 5 x))
(fma.f64 #s(literal 5 binary64) x eps)
(* 10 (* (pow eps 2) (pow x 3)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) (pow.f64 x #s(literal 3 binary64)))
(* 10 (/ (pow eps 2) x))
(.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (*.f64 eps eps))) x)
(* 10 (* (pow eps 2) x))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 5 (/ eps x))
(*.f64 (/.f64 eps x) #s(literal 5 binary64))
(/ (- (* 2 x) (* -5 eps)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps)) x)
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* -5 (/ eps x))
(*.f64 #s(literal -5 binary64) (/.f64 eps x))
(/ (+ (* -5 eps) (* -2 x)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -5 binary64) eps)) x)
(/ (pow eps 2) x)
(/.f64 (*.f64 eps eps) x)
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) eps) eps (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* (pow eps 4) x))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* x (+ 5 (/ eps x)))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) eps)
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)
2
#s(literal 2 binary64)
(+ 2 (* 5 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64))
(* 2 (pow x 5))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
-2
#s(literal -2 binary64)
(- (* -5 (/ eps x)) 2)
(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (fma.f64 (.f64 eps eps) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -5 binary64) (/.f64 eps x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 10 binary64) (.f64 (.f64 eps x) #s(literal 5 binary64))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps)
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) eps) (.f64 x (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (.f64 (.f64 x (/.f64 x eps)) #s(literal 8 binary64))) eps)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x)) eps) (+.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 8 binary64) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* eps (+ 1 (* 5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps)
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps)
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps)
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(.f64 (.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x)) eps) eps)
(* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -2 binary64) eps)) eps)
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* -1 (* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -2 binary64) eps)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) (.f64 (.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))
(* eps (+ (* 5 (/ 1 x)) (* 2 (/ 1 eps))))
(*.f64 (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -2 binary64) eps)) eps)
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* eps (+ (* 2 (/ 1 eps)) (* 5 (/ 1 x)))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal -2 binary64) eps)))

rewrite187.0ms (2.3%)

Memory

3.5MiB live, 162.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	256
0	69	246
1	246	240
2	1804	238
0	9192	237

Stop Event

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

Counts

21 → 486

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) x eps)
(pow.f64 eps #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x))
(fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) eps)
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))
(/.f64 (*.f64 eps eps) x)

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (pow.f64 eps #s(literal 4 binary64)))) (.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (pow.f64 eps #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))) (.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) (-.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)) (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x))) (.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))
(/.f64 (neg.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps)))) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))
(/.f64 (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))
(/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps))) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))
(fma.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (pow.f64 eps #s(literal 4 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) eps (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)))
(fma.f64 eps (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))) (*.f64 eps (pow.f64 eps #s(literal 4 binary64))))
(+.f64 (.f64 eps (pow.f64 eps #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 5 binary64) x)))
(.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps)) (pow.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) (-.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))) (.f64 (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 25 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 5 binary64) x eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))) (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (.f64 eps eps))) (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (fma.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 #s(literal 5 binary64) x eps))
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (neg.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 5 binary64) x) eps)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))
(/.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 5 binary64) x) eps))))
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 (neg.f64 eps))) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal 5 binary64) x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal 5 binary64) x eps)
(fma.f64 x #s(literal 5 binary64) eps)
(-.f64 (/.f64 (.f64 eps eps) (fma.f64 #s(literal 5 binary64) x eps)) (/.f64 (.f64 #s(literal 25 binary64) (*.f64 x x)) (fma.f64 #s(literal 5 binary64) x eps)))
(-.f64 (/.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))) (/.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(-.f64 eps (*.f64 #s(literal -5 binary64) x))
(-.f64 eps (*.f64 #s(literal 5 binary64) x))
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(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 eps x) #s(literal 10 binary64))))) (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))))
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 eps x) #s(literal 10 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 eps x) #s(literal 10 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 25 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 eps x) #s(literal -5 binary64)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 eps x) #s(literal -5 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 eps)) #s(literal -1 binary64)) (/.f64 eps x))
(*.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 eps x))
(.f64 (/.f64 (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 eps x))
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 eps x))
(.f64 (/.f64 (.f64 eps eps) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 eps eps) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 eps eps) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 eps eps))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) x))
(.f64 (.f64 (neg.f64 eps) eps) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 eps) (/.f64 eps x))
(*.f64 (/.f64 eps x) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 eps x) (/.f64 (neg.f64 (neg.f64 eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 eps x) (/.f64 (neg.f64 eps) #s(literal -1 binary64)))
(*.f64 (/.f64 eps x) (/.f64 eps #s(literal -1 binary64)))
(*.f64 (/.f64 eps x) eps)
(.f64 (.f64 eps eps) (pow.f64 x #s(literal -1 binary64)))
(*.f64 eps (/.f64 eps x))
(pow.f64 (/.f64 (/.f64 (/.f64 x eps) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x eps) eps) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 (*.f64 eps eps) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (*.f64 eps #s(literal 1 binary64))) (neg.f64 (/.f64 x eps)))
(/.f64 (/.f64 (*.f64 eps eps) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 eps eps) #s(literal 1 binary64)) x)
(/.f64 (*.f64 eps #s(literal 1 binary64)) (/.f64 x eps))
(/.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 x eps) eps) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x eps) eps)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 x eps) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x eps) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x eps) eps))
(/.f64 (*.f64 (neg.f64 eps) eps) x)
(/.f64 (neg.f64 eps) (neg.f64 (/.f64 x eps)))
(/.f64 (*.f64 eps eps) x)
(/.f64 eps (/.f64 x eps))
(neg.f64 (/.f64 (*.f64 eps eps) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 eps eps) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x eps) eps)) #s(literal -1 binary64)))

eval74.0ms (0.9%)

Memory: 6.6MiB live, 113.9MiB allocated
Compiler: Compiled 21 056 to 2 598 computations (87.7% saved)

prune23.0ms (0.3%)

Memory

-5.6MiB live, 44.0MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	565	13	578
Fresh	0	1	1
Picked	4	1	5
Done	0	3	3
Total	569	18	587

Accuracy

100.0%

Counts

587 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.2%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
✓	91.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
▶	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
✓	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
	87.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
▶	90.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
▶	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
	90.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
	84.3%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -10 binary64) (/.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (.f64 #s(literal -5 binary64) eps))) (.f64 x x)) (.f64 x x)))
	87.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
▶	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
✓	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
	87.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
▶	78.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

Compiler

Compiled 945 to 614 computations (35% saved)

simplify131.0ms (1.6%)

Memory

21.3MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
cost-diff	0	(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(fma.f64 #s(literal 5 binary64) x eps)
cost-diff	0	(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
cost-diff	4	(.f64 (.f64 eps eps) (*.f64 eps eps))
cost-diff	0	#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
cost-diff	4	(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
cost-diff	0	(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
cost-diff	0	#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
cost-diff	0	(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
cost-diff	0	(*.f64 #s(literal 5 binary64) x)
cost-diff	0	(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
cost-diff	1	(-.f64 eps (*.f64 #s(literal 5 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	384
0	75	380
1	157	374
2	472	352
3	1944	348
4	5654	348
0	8341	336

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
(-.f64 eps (*.f64 #s(literal 5 binary64) x))
eps
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
eps
(*.f64 eps x)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(.f64 (.f64 eps eps) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
#s(literal 2 binary64)
x
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps)))
(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps))
(-.f64 eps (*.f64 #s(literal 5 binary64) x))
(fma.f64 #s(literal -5 binary64) x eps)
eps
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 x x) #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 x #s(literal 10 binary64)) (*.f64 eps eps)))))
(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
(.f64 (.f64 x x) #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 x #s(literal 10 binary64)) (*.f64 eps eps))))
#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 x #s(literal 10 binary64)) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
(.f64 (.f64 x #s(literal 10 binary64)) (*.f64 eps eps))
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
eps
(*.f64 eps x)
x
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))))
(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)))
(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(fma.f64 #s(literal 5 binary64) x eps)
#s(literal 5 binary64)
x
eps
(.f64 (.f64 eps eps) (*.f64 eps eps))
(pow.f64 eps #s(literal 4 binary64))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)))))
#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
#s(literal 2 binary64)
x
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize215.0ms (2.6%)

Memory

19.1MiB live, 209.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.05078125	(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0546875	(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
accuracy	13.489432951004435	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.046875	(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
accuracy	0.0859375	(.f64 (.f64 eps eps) (*.f64 eps eps))
accuracy	5.931679472651423	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
accuracy	0.02734375	(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
accuracy	3.8447393062048696	(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
accuracy	30.637558777781994	#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
accuracy	0.02734375	(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
accuracy	0.0703125	(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
accuracy	7.915274049729697	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
accuracy	10.739200681514925	#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
accuracy	0.0	(*.f64 #s(literal 5 binary64) x)
accuracy	0.03125	(-.f64 eps (*.f64 #s(literal 5 binary64) x))
accuracy	0.05078125	(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
accuracy	5.937709988479468	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))

Samples

121.0ms	182×	0	valid
43.0ms	63×	1	valid
8.0ms	11×	2	valid

Compiler

Compiled 636 to 102 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-pow: 93.0ms (62.3% of total)

ival-mult: 31.0ms (20.8% of total)

adjust: 7.0ms (4.7% of total)

ival-add: 7.0ms (4.7% of total)

ival-sub: 5.0ms (3.3% of total)

ival-div: 4.0ms (2.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series128.0ms (1.6%)

Memory

-39.4MiB live, 166.7MiB allocated

Counts

21 → 85

Calls

Call 1

Inputs
(-.f64 eps (*.f64 #s(literal 5 binary64) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
(.f64 (.f64 eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps eps)

Outputs
eps
(+ eps (* -5 x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* -5 (* (pow eps 4) x)) (pow eps 5))
(* 5 x)
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ eps (* 5 x))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(* 5 eps)
(+ (* 2 x) (* 5 eps))
(* -5 x)
(* x (- (/ eps x) 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* -5 (* (pow eps 4) x))
(* x (+ (* -5 (pow eps 4)) (/ (pow eps 5) x)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ 5 (/ eps x)))
(* 2 (pow x 5))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
(* 2 x)
(* x (+ 2 (* 5 (/ eps x))))
(* -1 (* x (+ 5 (* -1 (/ eps x)))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -1 (/ (pow eps 5) x)) (* 5 (pow eps 4)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(* -1 (* x (- (* -5 (/ eps x)) 2)))
(- eps (* 5 x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* -5 x)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(pow eps 4)
(* (pow eps 4) (+ eps (* 5 x)))
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(pow eps 2)
(* eps (+ 1 (* -5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* -5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(* eps (+ 5 (* 2 (/ x eps))))
(* -1 (* eps (- (* 5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* 5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 5)))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- eps (* 5 x)) (pow eps 4)) (* 5 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* (* 10 eps) (* eps x)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (* (+ (* 2 x) (* 5 eps)) (pow x 4)) (+ (* 2 x) (* 5 eps)) (* eps eps))
22.0ms	eps	@	0	((- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- eps (* 5 x)) (pow eps 4)) (* 5 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* (* 10 eps) (* eps x)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (* (+ (* 2 x) (* 5 eps)) (pow x 4)) (+ (* 2 x) (* 5 eps)) (* eps eps))
18.0ms	eps	@	-inf	((- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- eps (* 5 x)) (pow eps 4)) (* 5 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* (* 10 eps) (* eps x)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (* (+ (* 2 x) (* 5 eps)) (pow x 4)) (+ (* 2 x) (* 5 eps)) (* eps eps))
16.0ms	eps	@	inf	((- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- eps (* 5 x)) (pow eps 4)) (* 5 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* (* 10 eps) (* eps x)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (* (+ (* 2 x) (* 5 eps)) (pow x 4)) (+ (* 2 x) (* 5 eps)) (* eps eps))
15.0ms	x	@	-inf	((- eps (* 5 x)) (- (pow (+ x eps) 5) (pow x 5)) (* (- eps (* 5 x)) (pow eps 4)) (* 5 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* (* 10 eps) (* eps x)) (* (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (* x x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* (* eps eps) (* eps eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 x) eps) (* (* eps eps) (* eps eps))) (+ (* 5 x) eps) (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (* (+ (* 2 x) (* 5 eps)) (pow x 4)) (+ (* 2 x) (* 5 eps)) (* eps eps))

simplify241.0ms (3%)

Memory

36.0MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	1344
1	1290	1217
2	5455	1199
0	8186	1108

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 84

Calls

Call 1

Inputs
eps
(+ eps (* -5 x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(+ (* -5 (* (pow eps 4) x)) (pow eps 5))
(* 5 x)
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ eps (* 5 x))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(* 5 eps)
(+ (* 2 x) (* 5 eps))
(* -5 x)
(* x (- (/ eps x) 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* -5 (* (pow eps 4) x))
(* x (+ (* -5 (pow eps 4)) (/ (pow eps 5) x)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ 5 (/ eps x)))
(* 2 (pow x 5))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
(* 2 x)
(* x (+ 2 (* 5 (/ eps x))))
(* -1 (* x (+ 5 (* -1 (/ eps x)))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* -1 (* x (+ (* -1 (/ (pow eps 5) x)) (* 5 (pow eps 4)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(* -1 (* x (- (* -5 (/ eps x)) 2)))
(- eps (* 5 x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* (pow eps 4) (+ eps (* -5 x)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(pow eps 4)
(* (pow eps 4) (+ eps (* 5 x)))
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(pow eps 2)
(* eps (+ 1 (* -5 (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* (pow eps 5) (+ 1 (* -5 (/ x eps))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* eps (+ 1 (* 5 (/ x eps))))
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(* eps (+ 5 (* 2 (/ x eps))))
(* -1 (* eps (- (* 5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* 5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 5)))

Outputs
eps
(+ eps (* -5 x))
(fma.f64 #s(literal -5 binary64) x eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) eps) (.f64 x eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* -5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps))
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 10 (* (pow eps 2) (pow x 3)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps)
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 10 (* (pow eps 2) x))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 x eps))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 eps (/.f64 eps x)) #s(literal 10 binary64))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(+ eps (* 5 x))
(fma.f64 #s(literal 5 binary64) x eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ (* 2 x) (* 5 eps)))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(* 5 eps)
(*.f64 #s(literal 5 binary64) eps)
(+ (* 2 x) (* 5 eps))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
(* -5 x)
(*.f64 #s(literal -5 binary64) x)
(* x (- (/ eps x) 5))
(*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) eps (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 8 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(.f64 (+.f64 (fma.f64 (.f64 eps (/.f64 eps x)) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) eps) eps (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x)) x) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(* -5 (* (pow eps 4) x))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)
(* x (+ (* -5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) eps)
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 5 (* (pow eps 4) x))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)
(* x (+ 5 (/ eps x)))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)
(* 2 (pow x 5))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2 (* 5 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 5 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)
(* -1 (* x (+ 5 (* -1 (/ eps x)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 5 binary64) (/.f64 eps x)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (fma.f64 (.f64 eps eps) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ (* -1 (/ (pow eps 5) x)) (* 5 (pow eps 4)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))))
(* -1 (* x (- (* -1 (/ eps x)) 5)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -6 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) x)))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -5 (/ eps x)) 2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (* -5 (/ eps x)) 2)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -5 binary64) #s(literal -2 binary64)))
(- eps (* 5 x))
(fma.f64 #s(literal -5 binary64) x eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 10 binary64) (.f64 (.f64 x eps) #s(literal 5 binary64))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps)) eps)
(* (pow eps 4) (+ eps (* -5 x)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(pow eps 4)
(pow.f64 eps #s(literal 4 binary64))
(* (pow eps 4) (+ eps (* 5 x)))
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))
(+ (* 2 (pow x 5)) (* 5 (* eps (pow x 4))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(pow eps 2)
(*.f64 eps eps)
(* eps (+ 1 (* -5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal 1 binary64)) eps)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) (/.f64 x eps) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (.f64 (.f64 x (/.f64 x eps)) #s(literal 8 binary64))) eps)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x)) eps) (+.f64 (/.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 8 binary64) x) eps) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (* -5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) eps)
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(.f64 (.f64 (fma.f64 (.f64 x (/.f64 x eps)) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x)) eps) eps)
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal -10 binary64) x)) eps) eps)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* eps (+ 1 (* 5 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) eps)
(* eps (+ (* 2 (/ (pow x 5) eps)) (* 5 (pow x 4))))
(.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ 5 (* 2 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 5 binary64)) eps)
(* -1 (* eps (- (* 5 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) (.f64 (.f64 x x) #s(literal -6 binary64))) (neg.f64 eps))) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) x) x (neg.f64 (fma.f64 #s(literal 6 binary64) (.f64 x x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)))) (neg.f64 eps))) eps) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 5 (/ x eps)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64))) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* eps (- (* -5 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))
(* -1 (* eps (+ (* -5 (pow x 4)) (* -2 (/ (pow x 5) eps)))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* eps (- (* -2 (/ x eps)) 5)))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -5 binary64)))

rewrite198.0ms (2.4%)

Memory

1.5MiB live, 83.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	342
0	75	320
1	272	318
2	1859	318
0	8159	306

Stop Event

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

Counts

21 → 323

Calls

Call 1

Inputs
(-.f64 eps (*.f64 #s(literal 5 binary64) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64)))
(*.f64 #s(literal 5 binary64) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
(.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x))
#s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x)))
(.f64 (.f64 #s(literal 10 binary64) eps) (*.f64 eps x))
(.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
(.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x))
#s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps))
(.f64 (.f64 eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(fma.f64 #s(literal 5 binary64) x eps)
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
(*.f64 eps eps)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (/.f64 (-.f64 (neg.f64 eps) (*.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps (.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (-.f64 (neg.f64 eps) (.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal -5 binary64) x eps))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps))) (/.f64 (fma.f64 #s(literal -5 binary64) x eps) (pow.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -5 binary64) x eps) (pow.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 eps (fma.f64 #s(literal -5 binary64) x eps))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps))))
(.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (pow.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)))))
(/.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (-.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (fma.f64 eps eps (.f64 (*.f64 #s(literal 5 binary64) eps) x)))))
(/.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (*.f64 (neg.f64 eps) eps)) (fma.f64 x #s(literal 5 binary64) eps)))
(/.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (-.f64 (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)))))
(/.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)))))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps (.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 x #s(literal 5 binary64) eps)))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 5 binary64) eps) x) #s(literal 2 binary64)))) (fma.f64 x #s(literal 5 binary64) eps)))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (.f64 x #s(literal 5 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 5 binary64) eps) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) (.f64 (fma.f64 x #s(literal 5 binary64) eps) (.f64 #s(literal 25 binary64) (.f64 x x)))) (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 x #s(literal 5 binary64) eps)))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps))) (.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps))) (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 eps (*.f64 #s(literal -5 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps))))
(/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 x #s(literal 5 binary64) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 25 binary64) (.f64 x x)) (.f64 eps (*.f64 #s(literal -5 binary64) x)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 (neg.f64 eps))) (*.f64 #s(literal -5 binary64) x))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (*.f64 #s(literal -5 binary64) x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal -5 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 5 binary64)) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal -5 binary64) x))
(fma.f64 (neg.f64 x) #s(literal 5 binary64) eps)
(fma.f64 #s(literal -5 binary64) x eps)
(fma.f64 x #s(literal -5 binary64) eps)
(fma.f64 #s(literal 5 binary64) (neg.f64 x) eps)
(-.f64 (/.f64 (.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps)) (/.f64 (.f64 #s(literal 25 binary64) (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (.f64 eps eps))) (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 5 binary64)) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps))))
(-.f64 eps (*.f64 x #s(literal 5 binary64)))
(+.f64 (*.f64 #s(literal -5 binary64) x) eps)
(+.f64 eps (*.f64 #s(literal -5 binary64) x))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps)))
(.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (pow.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (pow.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 #s(literal -5 binary64) x eps)) (fma.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 25 binary64) (.f64 x x) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps))) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (pow.f64 eps #s(literal 3 binary64))) eps)
(.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 (neg.f64 eps) eps)) (.f64 (neg.f64 eps) eps))
(.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps))
(.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) eps) (pow.f64 eps #s(literal 3 binary64)))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 eps (fma.f64 #s(literal -5 binary64) x eps)))
(.f64 (.f64 (neg.f64 eps) eps) (.f64 (.f64 (neg.f64 eps) eps) (fma.f64 #s(literal -5 binary64) x eps)))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) x eps))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal -5 binary64) x eps)))
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(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 5 binary64) eps) (-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 x (*.f64 #s(literal 5 binary64) eps)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x (*.f64 #s(literal 5 binary64) eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (*.f64 #s(literal 5 binary64) eps)))
(fma.f64 #s(literal 1 binary64) x (-.f64 x (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 #s(literal 1 binary64) x (+.f64 x (*.f64 #s(literal 5 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 5 binary64) eps))
(fma.f64 x #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -5 binary64) eps)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 5 binary64) eps))
(fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (.f64 #s(literal 25 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (pow.f64 (.f64 #s(literal -5 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -5 binary64) eps))))) (/.f64 (.f64 #s(literal -125 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (+.f64 (pow.f64 (.f64 #s(literal -5 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -5 binary64) eps))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps))) (/.f64 (pow.f64 (.f64 #s(literal -5 binary64) eps) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -5 binary64) eps))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps))) (/.f64 (.f64 #s(literal 25 binary64) (.f64 eps eps)) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps))))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 eps) #s(literal 5 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -5 binary64) eps))
(-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal 5 binary64) eps x) x)
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) eps) (-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 125 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) eps) (-.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 (.f64 #s(literal -5 binary64) eps)))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 5 binary64) eps))
(+.f64 (.f64 #s(literal 5 binary64) eps) (.f64 #s(literal 2 binary64) x))
(+.f64 x (-.f64 x (*.f64 #s(literal -5 binary64) eps)))
(+.f64 x (+.f64 x (*.f64 #s(literal 5 binary64) eps)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 eps)))
(.f64 (sqrt.f64 (.f64 (neg.f64 eps) eps)) (sqrt.f64 (*.f64 (neg.f64 eps) eps)))
(*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 eps))
(*.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(fabs.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))

eval241.0ms (3%)

Memory: 7.8MiB live, 79.0MiB allocated
Compiler: Compiled 14 858 to 1 850 computations (87.5% saved)

prune332.0ms (4.1%)

Memory

2.3MiB live, 81.7MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	419	10	429
Fresh	4	5	9
Picked	3	2	5
Done	1	3	4
Total	427	20	447

Accuracy

100.0%

Counts

447 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.2%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))
✓	91.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
	72.1%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps)))))
	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
	69.8%	#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
✓	90.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
	87.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
	45.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
✓	90.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
	90.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
	84.3%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -10 binary64) (/.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (.f64 #s(literal -5 binary64) eps))) (.f64 x x)) (.f64 x x)))
	90.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
	87.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
	87.4%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
	87.6%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
	87.5%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
✓	78.7%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

Compiler

Compiled 1 657 to 621 computations (62.5% saved)

regimes71.0ms (0.9%)

Memory

-10.0MiB live, 28.5MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -10 binary64) (/.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (.f64 #s(literal -5 binary64) eps))) (.f64 x x)) (.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))

Outputs

(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Calls

3 calls:

50.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
10.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.1%	3	`eps`
99.9%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes9.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -10 binary64) (/.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (.f64 #s(literal -5 binary64) eps))) (.f64 x x)) (.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))

Outputs

(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Calls

1 calls:

7.0ms

(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes26.0ms (0.3%)

Memory

-22.6MiB live, 14.9MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps)))) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -5 binary64) eps)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -10 binary64) (/.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (.f64 #s(literal 25 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal 10 binary64) eps) (/.f64 eps x) (.f64 #s(literal -5 binary64) eps))) (.f64 x x)) (.f64 x x)))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Calls

1 calls:

25.0ms

(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.3%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes39.0ms (0.5%)

Memory

-42.4MiB live, 17.7MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -2 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 #s(approx (+ ( 2 x) (* 5 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.2%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
99.2%	3	`x`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes14.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (-.f64 eps (.f64 #s(literal 5 binary64) x)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes13.0ms (0.2%)

Memory

-20.4MiB live, 18.7MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)))

Calls

2 calls:

8.0ms	x
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.2%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
99.2%	3	`x`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes15.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (.f64 x #s(literal 5 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (*.f64 x x)))

Calls

3 calls:

5.0ms	x
5.0ms	eps
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
98.4%	3	`eps`
99.1%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
99.1%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes53.0ms (0.7%)

Memory

-23.5MiB live, 12.8MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (pow (+ x eps) 5) (pow (pow x 4) 5/4)) #s(approx (* (neg (+ (* -5 (/ eps x)) -2)) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 eps x) #s(literal 5 binary64) (.f64 #s(literal 10 binary64) (.f64 eps eps))) x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (fma.f64 (.f64 x eps) #s(literal 5 binary64) (.f64 (.f64 eps eps) #s(literal 10 binary64))) x)) (*.f64 x x)))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (neg.f64 x)) (neg.f64 x)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))

Calls

2 calls:

48.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
99.1%	3	`x`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes7.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) x) x) (*.f64 x x)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.1%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal -5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 eps eps)) (.f64 eps eps)))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) x) x) (*.f64 x x)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))

Calls

1 calls:

2.0ms

(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.1%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 5 binary64)))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
87.5%	1	`eps`
87.5%	1	`x`
87.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes98.0ms (1.2%)

Memory

-24.2MiB live, 14.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (*.f64 x x)))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))

Calls

3 calls:

93.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
87.5%	1	`x`
87.5%	1	`eps`
87.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
78.7%	1	`x`
78.7%	1	`eps`
78.7%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch52.0ms (0.6%)

Memory

-20.4MiB live, 26.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.347532391581902e-84	4.405697962824701e-83
42.0ms	-1.3481584989226345e-58	-4.544011133645477e-61

Samples

14.0ms	81×	1	valid
8.0ms	127×	0	valid

Compiler

Compiled 506 to 402 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 11.0ms (68% of total)

adjust: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch16.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.347532391581902e-84	4.405697962824701e-83
14.0ms	-1.3481584989226345e-58	-4.544011133645477e-61

Samples

10.0ms	59×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 631 to 466 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-pow: 5.0ms (59.4% of total)

adjust: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

ival-sub: 1.0ms (11.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.347532391581902e-84	4.405697962824701e-83
1.0ms	-1.3481584989226345e-58	-4.544011133645477e-61

Compiler

Compiled 559 to 402 computations (28.1% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.347532391581902e-84	4.405697962824701e-83
1.0ms	-1.3481584989226345e-58	-4.544011133645477e-61

Compiler

Compiled 676 to 454 computations (32.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	5e-324
0.0ms	-8.55064504e-315	0.0

Compiler

Compiled 12 to 12 computations (0% saved)

simplify94.0ms (1.2%)

Memory

-11.0MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1046
1	194	1041
2	389	1021
3	1284	1011
4	4553	1011
5	7720	1011

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 x #s(literal -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 x #s(literal -2623414521782945/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))))
(if (<=.f64 x #s(literal -2623414521782945/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) eps) #s(literal 5 binary64))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))))
(if (<=.f64 x #s(literal -2623414521782945/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) eps) #s(literal 5 binary64))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) (.f64 x x)) (neg.f64 x)) (neg.f64 x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (.f64 x x)) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 #s(literal -10 binary64) (.f64 x x)) (neg.f64 eps))) eps)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ (* 5 eps) (/ (* -10 (* eps eps)) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))))
(if (<=.f64 x #s(literal -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))))
(if (or (<=.f64 x #s(literal -565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (not (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))))
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(if (<=.f64 x #s(literal -2623414521782945/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) eps) #s(literal 5 binary64))) (if (<=.f64 x #s(literal 2734063405978765/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (* (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) x) x)) (.f64 x x)))))
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(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1012011267/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) eps) eps) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(approx (+ ( (/ (* eps eps) x) 10) (* 5 eps)) (.f64 #s(literal 5 binary64) eps)) x) x) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) eps)) (.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx ( (+ (* (/ (* eps eps) x) 10) (* 5 eps)) (* x x)) (.f64 (.f64 #s(literal 10 binary64) eps) (.f64 eps x))) (.f64 x x)))

soundness1.5s (18.3%)

Memory

3.9MiB live, 1 057.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	342
0	75	320
1	272	318
2	1859	318
0	8159	306
0	328	1409
1	1214	1265
2	5198	1210
0	8603	1126
0	7	20
0	11	20
1	52	20
2	387	20
3	4411	20
0	8288	20
0	37	203
0	60	199
1	209	195
2	1484	195
0	8377	195
0	47	256
0	69	246
1	246	240
2	1804	238
0	9192	237
0	324	1260
1	1216	1139
2	5157	1109
0	8110	1035
0	245	959
1	909	859
2	4157	688
0	8532	649

Stop Event

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

Compiler

Compiled 1 824 to 757 computations (58.5% saved)

preprocess129.0ms (1.6%)

Memory: -7.4MiB live, 104.7MiB allocated
Compiler: Compiled 2 106 to 280 computations (86.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	51
1	39	49
2	93	47
3	200	47
4	368	47
5	496	47
6	572	47
7	594	47
8	598	47
0	7	9
0	11	9
1	14	9
2	19	9
3	29	9
4	45	9
5	80	9
6	120	9
7	142	9
8	146	9
0	146	9

Iter	Nodes	Cost
0	19	51
1	39	49
2	93	47
3	200	47
4	368	47
5	496	47
6	572	47
7	594	47
8	598	47
0	7	9
0	11	9
1	14	9
2	19	9
3	29	9
4	45	9
5	80	9
6	120	9
7	142	9
8	146	9
0	146	9

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (21.5%)

explain111.0ms (1.4%)

preprocess38.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify8.0ms (0.1%)

localize58.0ms (0.7%)

series8.0ms (0.1%)

simplify210.0ms (2.6%)

rewrite208.0ms (2.6%)

eval53.0ms (0.7%)

prune33.0ms (0.4%)

simplify130.0ms (1.6%)

localize231.0ms (2.8%)

series157.0ms (1.9%)

simplify206.0ms (2.5%)

rewrite239.0ms (3%)

eval83.0ms (1%)

prune31.0ms (0.4%)

simplify122.0ms (1.5%)

localize145.0ms (1.8%)

series152.0ms (1.9%)

simplify221.0ms (2.7%)

rewrite187.0ms (2.3%)

eval74.0ms (0.9%)

prune23.0ms (0.3%)

simplify131.0ms (1.6%)

localize215.0ms (2.6%)

series128.0ms (1.6%)

simplify241.0ms (3%)

rewrite198.0ms (2.4%)

eval241.0ms (3%)

prune332.0ms (4.1%)

regimes71.0ms (0.9%)

regimes9.0ms (0.1%)

regimes26.0ms (0.3%)

regimes15.0ms (0.2%)

regimes39.0ms (0.5%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes15.0ms (0.2%)

regimes53.0ms (0.7%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes98.0ms (1.2%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch52.0ms (0.6%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify94.0ms (1.2%)

soundness1.5s (18.3%)

preprocess129.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	51
1	39	49
2	93	47
3	200	47
4	368	47
5	496	47
6	572	47
7	594	47
8	598	47
0	7	9
0	11	9
1	14	9
2	19	9
3	29	9
4	45	9
5	80	9
6	120	9
7	142	9
8	146	9
0	146	9