Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample464.0ms (12.2%)

Memory

-14.0MiB live, 934.1MiB allocated

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 70.0ms (50.3% of total)

ival-div: 56.0ms (40.2% of total)

ival-true: 6.0ms (4.3% of total)

exact: 5.0ms (3.6% of total)

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

Bogosity

explain41.0ms (1.1%)

Memory

32.1MiB live, 76.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	1	(-3.753747279086119e+161)	-	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	58

Confusion

	Predicted +	Predicted -
+	2	0
-	1	253

Precision

0.6666666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	1	0	253

Precision?

0.6666666666666666

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms

512×

valid

Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions

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

ival-mult: 4.0ms (49.9% of total)

ival-div: 3.0ms (37.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.4%)

Memory

-13.8MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`associate-/r*`
26×	`unsub-neg`
26×	`div-sub`
24×	`distribute-lft-neg-in`
20×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	24	10
2	67	10
3	135	10
4	185	10
5	223	10
6	235	10
0	4	5
0	6	5
1	10	5
0	10	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Rules

6×	`lower-/.f32`
4×	`lower-/.f64`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lift-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
0	10	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize14.0ms (0.4%)

Memory

-16.8MiB live, 21.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	0.4757765703165504	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (52.6% of total)

ival-mult: 2.0ms (52.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ 1 (* x x)) (* x x))
0.0ms	x	@	inf	((/ 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 1 (* x x)) (* x x))

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-/.f32`
6×	`lower-/.f64`
2×	`lower-*.f64`
2×	`lower-pow.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	8	96
2	10	96
0	10	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite61.0ms (1.6%)

Memory

12.9MiB live, 51.3MiB allocated

Rules

426×	`lower-*.f32`
424×	`lower-*.f64`
306×	`lower-/.f32`
304×	`lower-/.f64`
242×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	6
2	72	6
3	260	6
0	1092	6

Stop Event

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

Counts

2 → 110

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

eval19.0ms (0.5%)

Memory: -9.0MiB live, 31.6MiB allocated
Compiler: Compiled 1 308 to 259 computations (80.2% saved)

prune21.0ms (0.6%)

Memory

8.8MiB live, 47.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	8	135

Accuracy

100.0%

Counts

135 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
	99.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	99.5%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	26.6%	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))

Compiler

Compiled 152 to 92 computations (39.5% saved)

simplify95.0ms (2.5%)

Memory

-15.7MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) x)
cost-diff	0	(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
cost-diff	1920	(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x (sqrt.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	1600	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) x)
cost-diff	0	(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	128	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
cost-diff	1280	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	(pow.f64 x #s(literal -2 binary64))

Rules

4 432×	`lower-*.f32`
4 418×	`lower-*.f64`
2 494×	`lower-fma.f64`
2 494×	`lower-fma.f32`
1 332×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	147
0	38	110
1	72	95
2	225	85
3	1507	85
4	3293	85
5	6877	85
0	8110	85

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
#s(literal -1 binary64)
(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
#s(literal 1 binary64)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)

Outputs
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))
#s(literal -1 binary64)
(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 (neg.f64 x) x) x) x)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
x
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
(*.f64 x x)
(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 (neg.f64 x) x) x) x)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize57.0ms (1.5%)

Memory

18.4MiB live, 93.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.4757765703165504	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
accuracy	43.69447839336327	(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.171875	(*.f64 x (sqrt.f64 x))
accuracy	0.20931625976844204	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.4757765703165504	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0.0390625	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.1085719369779301	(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
accuracy	43.38685045400794	(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.140625	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	0	(pow.f64 x #s(literal -2 binary64))

Samples

43.0ms

256×

valid

Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.2% of total)

ival-div: 9.0ms (31.6% of total)

ival-neg: 4.0ms (14.1% of total)

ival-pow: 3.0ms (10.5% of total)

ival-sqrt: 2.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.4%)

Memory

-15.7MiB live, 22.8MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor 0 x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor 0 x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor 0 x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor 0 x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (patch (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor -inf x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor -inf x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor -inf x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 4)) (taylor -inf x) (#s(alt (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (patch (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) (patch (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((pow x -2) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (neg (* (* (* x x) x) x))) (* x x)) (/ -1 (neg (* (* (* x x) x) x))) (neg (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (/ (neg (* (* (* x x) x) x)) (* (neg x) x)) (/ 1 (/ (neg (* (* (* x x) x) x)) (* (neg x) x))) (* (* x x) x))

2.0ms

((pow x -2) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (neg (* (* (* x x) x) x))) (* x x)) (/ -1 (neg (* (* (* x x) x) x))) (neg (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (/ (neg (* (* (* x x) x) x)) (* (neg x) x)) (/ 1 (/ (neg (* (* (* x x) x) x)) (* (neg x) x))) (* (* x x) x))

2.0ms

inf

((pow x -2) (/ (/ 1 x) x) (/ 1 x) (* (/ -1 (neg (* (* (* x x) x) x))) (* x x)) (/ -1 (neg (* (* (* x x) x) x))) (neg (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (/ (neg (* (* (* x x) x) x)) (* (neg x) x)) (/ 1 (/ (neg (* (* (* x x) x) x)) (* (neg x) x))) (* (* x x) x))

simplify73.0ms (1.9%)

Memory

10.5MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Rules

612×	`lower-*.f64`
612×	`lower-fma.f64`
612×	`lower-fma.f32`
612×	`lower-*.f32`
404×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	660
1	49	660
2	124	660
3	283	660
4	672	660
5	1114	660
6	1459	660
7	1882	660
8	2118	660
9	2155	660
10	2155	660
11	2155	660
12	2155	660
13	2155	660
0	2155	660

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(* -1 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)

rewrite125.0ms (3.3%)

Memory

-0.6MiB live, 155.3MiB allocated

Rules

1 430×	`lower-*.f32`
1 416×	`lower-*.f64`
1 234×	`lower-/.f32`
1 224×	`lower-/.f64`
880×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	105
0	38	60
1	117	44
2	594	42
0	3644	42

Stop Event

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

Counts

14 → 1 372

Calls

Call 1

Inputs
(pow.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (*.f64 x x) x) x)))
(neg.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
(.f64 (.f64 x x) x)

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

eval182.0ms (4.8%)

Memory: 40.6MiB live, 291.5MiB allocated
Compiler: Compiled 28 117 to 2 502 computations (91.1% saved)

prune162.0ms (4.3%)

Memory

-10.0MiB live, 249.2MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 819	7	1 826
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 822	12	1 834

Accuracy

100.0%

Counts

1 834 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
▶	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	34.0%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
▶	27.0%	(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
▶	81.5%	(/.f64 x (.f64 (.f64 x x) x))
	81.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
✓	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	81.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)

Compiler

Compiled 204 to 117 computations (42.6% saved)

simplify190.0ms (5%)

Memory

-1.8MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
cost-diff	1984	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
cost-diff	384	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
cost-diff	1280	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	960	(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	320	(/.f64 x (.f64 (.f64 x x) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
cost-diff	1984	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))

Rules

7 060×	`lower-*.f32`
7 050×	`lower-*.f64`
2 604×	`fabs-mul`
1 998×	`lower-/.f32`
1 982×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	129
0	32	117
1	61	87
2	115	85
3	395	85
4	2079	85
5	2957	85
6	5261	85
7	6164	85
8	6834	85
9	7458	85
10	7923	85
11	7972	85
0	9622	85

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 x (.f64 (.f64 x x) x))
x
(.f64 (.f64 x x) x)
(*.f64 x x)
(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x

Outputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(/.f64 x (.f64 (.f64 x x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
x
(.f64 (.f64 x x) x)
(*.f64 x x)
(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x

localize62.0ms (1.6%)

Memory

-12.1MiB live, 62.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.171875	(*.f64 (sqrt.f64 x) x)
accuracy	0.1875	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
accuracy	0.6203511860628186	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.140625	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
accuracy	41.42858855947146	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	43.21412008377468	(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	11.8522070942681	(/.f64 x (.f64 (.f64 x x) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.1875	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.262382519536884	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))

Samples

37.0ms

256×

valid

Compiler

Compiled 131 to 19 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 13.0ms (50% of total)

ival-mult: 11.0ms (42.3% of total)

ival-sqrt: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 (.f64 x x) x)) (patch (/.f64 x (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) (patch (/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) (patch (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ 1 x) (sqrt x) (/ x (* (* x x) x)) (* (* x x) x) (* x x) (/ (* x x) (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (/ 1 (* (* x x) x)) (* x x)) (/ (* (/ 1 (* (* x x) x)) (* x x)) x) (/ 1 (* (* x x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x))

2.0ms

inf

((/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ 1 x) (sqrt x) (/ x (* (* x x) x)) (* (* x x) x) (* x x) (/ (* x x) (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (/ 1 (* (* x x) x)) (* x x)) (/ (* (/ 1 (* (* x x) x)) (* x x)) x) (/ 1 (* (* x x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x))

1.0ms

((/ (/ (/ 1 x) (sqrt x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ 1 x) (sqrt x) (/ x (* (* x x) x)) (* (* x x) x) (* x x) (/ (* x x) (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (/ 1 (* (* x x) x)) (* x x)) (/ (* (/ 1 (* (* x x) x)) (* x x)) x) (/ 1 (* (* x x) x)) (/ (/ 1 (* (sqrt x) x)) (sqrt x)) (/ 1 (* (sqrt x) x)) (* (sqrt x) x))

simplify156.0ms (4.1%)

Memory

1.7MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 470×	`associate-/r*`
1 258×	`pow-sqr`
816×	`pow-plus`
736×	`lower-*.f64`
736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	756
1	42	756
2	97	756
3	190	756
4	390	756
5	524	756
6	734	756
7	1432	756
8	1881	756
9	2598	756
10	2759	756
11	2802	756
12	2848	756
13	3046	756
14	3273	756
15	3573	756
16	3747	756
17	3895	756
18	4133	756
19	4519	756
20	5143	756
21	5143	756
22	6870	756
23	6870	756
24	6870	756
0	6870	756

Stop Event

1×	iter limit
1×	saturated

Counts

180 → 180

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))

Outputs
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(sqrt (/ 1 (pow x 3)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))

rewrite314.0ms (8.3%)

Memory

0.9MiB live, 271.6MiB allocated

Rules

3 182×	`lower-*.f32`
3 172×	`lower-*.f64`
2 588×	`lower-/.f32`
2 572×	`lower-/.f64`
2 118×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	103
0	32	85
1	119	44
2	561	44
3	3132	44
0	8445	44

Stop Event

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

Counts

15 → 1 846

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
(/.f64 x (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)

Outputs
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 x) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) x) (.f64 (.f64 x x) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (*.f64 x x) x)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 (sqrt.f64 x) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
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(/.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) x) (*.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 x x) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)))

eval554.0ms (14.6%)

Memory: 4.2MiB live, 711.9MiB allocated
Compiler: Compiled 50 657 to 5 603 computations (88.9% saved)

prune432.0ms (11.4%)

Memory

27.0MiB live, 615.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	3 220	3	3 223
Fresh	0	3	3
Picked	2	3	5
Done	2	2	4
Total	3 224	11	3 235

Accuracy

100.0%

Counts

3 235 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
▶	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	21.6%	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
✓	27.0%	(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
▶	89.4%	(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
✓	81.5%	(/.f64 x (.f64 (.f64 x x) x))
▶	81.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	81.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)

Compiler

Compiled 188 to 101 computations (46.3% saved)

simplify92.0ms (2.4%)

Memory

-30.0MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	1600	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 x) x) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	1600	(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
cost-diff	640	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	704	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
cost-diff	1152	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))

Rules

3 226×	`lower-*.f32`
3 210×	`lower-*.f64`
1 832×	`div-sub`
1 506×	`lower-fma.f64`
1 506×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	155
0	41	155
1	83	101
2	223	97
3	1940	95
4	4242	95
0	8206	95

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) x)
x
(.f64 (.f64 x x) x)
(*.f64 x x)
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
(sqrt.f64 x)
x
(.f64 (.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
(.f64 (.f64 (*.f64 x x) x) x)

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(neg.f64 x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)
x
(.f64 (.f64 x x) x)
(*.f64 x x)
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 x)
x
(.f64 (.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
(.f64 (.f64 (*.f64 x x) x) x)

localize87.0ms (2.3%)

Memory

27.1MiB live, 100.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.0546875	(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	46.10722724047632	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.09375	(.f64 (.f64 (sqrt.f64 x) x) x)
accuracy	0.171875	(*.f64 (sqrt.f64 x) x)
accuracy	6.75073010628665	(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.4757765703165504	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
accuracy	11.683780883059114	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	12.014584048934013	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 x)
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
accuracy	0.4757765703165504	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

71.0ms

256×

valid

Compiler

Compiled 157 to 24 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 13.0ms (46.4% of total)

ival-div: 12.0ms (42.8% of total)

ival-sqrt: 2.0ms (7.1% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.7%)

Memory

-5.3MiB live, 36.5MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 x) x) x) (patch (.f64 (.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (patch (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
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#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (patch (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) (patch (/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) x) x) (patch (.f64 (.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) x) x) (patch (.f64 (.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) x) x) (patch (.f64 (.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) x) x) (patch (.f64 (.f64 (sqrt.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (patch (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (patch (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (patch (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (patch (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

((* (/ -1 x) (neg x)) (/ (/ 1 (* x x)) (* (/ -1 x) (neg x))) (/ 1 (* x x)) (* x x) (* (/ 1 (* (* x x) x)) x) (/ 1 (* (* x x) x)) (* (* x x) x) (* (/ 1 x) (* (* x x) x)) (/ 1 (* (/ 1 x) (* (* x x) x))) (/ 1 x) (/ (sqrt x) (* (* (sqrt x) x) x)) (sqrt x) (* (* (sqrt x) x) x) (* (sqrt x) x) (/ (* (* x x) x) (* (* (* (* x x) x) x) x)) (* (* (* (* x x) x) x) x) (neg x) (* (* (* x x) x) x))

10.0ms

inf

((* (/ -1 x) (neg x)) (/ (/ 1 (* x x)) (* (/ -1 x) (neg x))) (/ 1 (* x x)) (* x x) (* (/ 1 (* (* x x) x)) x) (/ 1 (* (* x x) x)) (* (* x x) x) (* (/ 1 x) (* (* x x) x)) (/ 1 (* (/ 1 x) (* (* x x) x))) (/ 1 x) (/ (sqrt x) (* (* (sqrt x) x) x)) (sqrt x) (* (* (sqrt x) x) x) (* (sqrt x) x) (/ (* (* x x) x) (* (* (* (* x x) x) x) x)) (* (* (* (* x x) x) x) x) (neg x) (* (* (* x x) x) x))

2.0ms

((* (/ -1 x) (neg x)) (/ (/ 1 (* x x)) (* (/ -1 x) (neg x))) (/ 1 (* x x)) (* x x) (* (/ 1 (* (* x x) x)) x) (/ 1 (* (* x x) x)) (* (* x x) x) (* (/ 1 x) (* (* x x) x)) (/ 1 (* (/ 1 x) (* (* x x) x))) (/ 1 x) (/ (sqrt x) (* (* (sqrt x) x) x)) (sqrt x) (* (* (sqrt x) x) x) (* (sqrt x) x) (/ (* (* x x) x) (* (* (* (* x x) x) x) x)) (* (* (* (* x x) x) x) x) (neg x) (* (* (* x x) x) x))

simplify22.0ms (0.6%)

Memory

-10.8MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Rules

218×	`lower-*.f64`
218×	`lower-fma.f64`
218×	`lower-fma.f32`
218×	`lower-*.f32`
174×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	792
1	49	792
2	110	792
3	192	792
4	419	792
5	561	792
6	660	792
7	697	792
8	707	792
9	707	792
0	707	792

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 216

Calls

Call 1

Inputs
1
1
1
1
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
1
1
1
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 5))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
1
1
1
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 5))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(sqrt (pow x 3))
(sqrt.f64 (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (.f64 (.f64 x x) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))

rewrite85.0ms (2.2%)

Memory

6.8MiB live, 79.4MiB allocated

Rules

334×	`lower-/.f32`
320×	`lower-/.f64`
320×	`lower-*.f32`
304×	`lower-*.f64`
102×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	124
0	41	118
1	138	53
0	704	53

Stop Event

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

Counts

18 → 480

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
(.f64 (.f64 x x) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
(sqrt.f64 x)
(.f64 (.f64 (sqrt.f64 x) x) x)
(*.f64 (sqrt.f64 x) x)
(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(.f64 (.f64 (.f64 (.f64 x x) x) x) x)
(neg.f64 x)
(.f64 (.f64 (*.f64 x x) x) x)

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

eval108.0ms (2.8%)

Memory: 21.5MiB live, 166.1MiB allocated
Compiler: Compiled 12 681 to 918 computations (92.8% saved)

prune106.0ms (2.8%)

Memory

-10.8MiB live, 156.0MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	977	1	978
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	977	12	989

Accuracy

100.0%

Counts

989 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
✓	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	21.6%	(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
✓	27.0%	(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
✓	89.4%	(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
✓	81.5%	(/.f64 x (.f64 (.f64 x x) x))
✓	81.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
	21.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (.f64 (*.f64 x x) x))
✓	81.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)

Compiler

Compiled 329 to 118 computations (64.1% saved)

regimes44.0ms (1.2%)

Memory

-50.2MiB live, 32.1MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (.f64 (.f64 x x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -2 binary64))

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

Calls

3 calls:

32.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	x
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes16.0ms (0.4%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (.f64 (.f64 x x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(/.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) x) x))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) x) x))
(/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 x (.f64 (.f64 (sqrt.f64 x) x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Calls

3 calls:

5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.2%)

Memory

-28.0MiB live, 10.0MiB allocated

Accuracy

Total -11.4b remaining (-2399.8%)

Threshold costs -11.4b (-2399.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 x (.f64 (.f64 x x) x))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x x))

Calls

3 calls:

3.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.3%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness75.0ms (2%)

Memory

35.8MiB live, 106.2MiB allocated

Rules

426×	`lower-*.f32`
424×	`lower-*.f64`
306×	`lower-/.f32`
304×	`lower-/.f64`
242×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	20	6
2	72	6
3	260	6
0	1092	6

Stop Event

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

preprocess44.0ms (1.1%)

Memory: -11.6MiB live, 105.7MiB allocated
Remove: (abs x)
Compiler: Compiled 68 to 44 computations (35.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	792
1	49	792
2	110	792
3	192	792
4	419	792
5	561	792
6	660	792
7	697	792
8	707	792
9	707	792
0	707	792

Iter	Nodes	Cost
0	26	792
1	49	792
2	110	792
3	192	792
4	419	792
5	561	792
6	660	792
7	697	792
8	707	792
9	707	792
0	707	792

start0.0ms (0%)

analyze1.0ms (0%)

sample464.0ms (12.2%)

explain41.0ms (1.1%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.4%)

series2.0ms (0%)

simplify3.0ms (0.1%)

rewrite61.0ms (1.6%)

eval19.0ms (0.5%)

prune21.0ms (0.6%)

simplify95.0ms (2.5%)

localize57.0ms (1.5%)

series14.0ms (0.4%)

simplify73.0ms (1.9%)

rewrite125.0ms (3.3%)

eval182.0ms (4.8%)

prune162.0ms (4.3%)

simplify190.0ms (5%)

localize62.0ms (1.6%)

series11.0ms (0.3%)

simplify156.0ms (4.1%)

rewrite314.0ms (8.3%)

eval554.0ms (14.6%)

prune432.0ms (11.4%)

simplify92.0ms (2.4%)

localize87.0ms (2.3%)

series27.0ms (0.7%)

simplify22.0ms (0.6%)

rewrite85.0ms (2.2%)

eval108.0ms (2.8%)

prune106.0ms (2.8%)

regimes44.0ms (1.2%)

regimes16.0ms (0.4%)

regimes7.0ms (0.2%)

simplify5.0ms (0.1%)

soundness75.0ms (2%)

preprocess44.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	792
1	49	792
2	110	792
3	192	792
4	419	792
5	561	792
6	660	792
7	697	792
8	707	792
9	707	792
0	707	792