Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.4s (19.7%)

Memory

59.8MiB live, 822.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 965.0ms (92.5% of total)

ival-sqrt: 67.0ms (6.4% of total)

ival-true: 5.0ms (0.5% of total)

exact: 4.0ms (0.4% of total)

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

Bogosity

explain65.0ms (0.9%)

Memory

-5.9MiB live, 146.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	4	(2.8454860964398745e-156)	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	64	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	64
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	62	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	62

Confusion

	Predicted +	Predicted -
+	126	4
-	0	126

Precision

1.0

Recall

0.9692307692307692

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	4
-	0	0	126

Precision?

1.0

Recall?

0.9692307692307692

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (62.8% of total)

ival-sqrt: 3.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.2%)

Memory

-2.9MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`associate-r`
28×	`distribute-rgt-neg-in`
28×	`associate-l`
24×	`distribute-lft-neg-in`
24×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	21	13
2	62	13
3	149	13
4	214	13
5	231	13
6	233	13
0	5	6
0	8	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Outputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Rules

14×	`lower-*.f32`
10×	`lower-*.f64`
4×	`*-commutative`
4×	`lift-*.f64`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	12	16
2	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

Outputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize16.0ms (0.2%)

Memory

-11.0MiB live, 28.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	29.74890741716259	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (71% of total)

ival-sqrt: 2.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

Inputs

#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`lower-*.f64`
38×	`lower-fma.f64`
38×	`lower-fma.f32`
38×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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

rewrite143.0ms (2%)

Memory

-43.2MiB live, 257.3MiB allocated

Rules

5 230×	`lower-*.f32`
5 226×	`lower-*.f64`
3 666×	`lower-/.f64`
3 666×	`lower-/.f32`
3 090×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Counts

3 → 118

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)

Outputs
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x)) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (*.f64 x #s(literal 2 binary64)) x))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x)) (.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) x) x)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x) (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) x) x))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(.f64 x (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)))))))
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (exp.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))))) (exp.f64 (/.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))

eval16.0ms (0.2%)

Memory: 29.1MiB live, 29.1MiB allocated
Compiler: Compiled 2 116 to 350 computations (83.5% saved)

prune30.0ms (0.4%)

Memory

-11.8MiB live, 65.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	146	8	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Accuracy

100.0%

Counts

155 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
	98.8%	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
▶	59.4%	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	70.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	70.5%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 197 to 127 computations (35.5% saved)

simplify5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	6784	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Rules

74×	`lower-*.f32`
54×	`lower-*.f64`
30×	`*-commutative`
20×	`lift-*.f64`
16×	`lift-sqrt.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	137
0	42	137
1	58	133
2	74	133
3	76	133
0	76	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x

Outputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
x

localize64.0ms (0.9%)

Memory

-24.4MiB live, 97.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.21484375	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.28515625	(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
accuracy	0.203125	(*.f64 (sqrt.f64 x) x)
accuracy	0.37337875976844204	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	19.28312964072618	(sqrt.f64 (*.f64 (sqrt.f64 x) x))
accuracy	26.205272179295303	(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.203125	(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	0.33107377930532605	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	19.465677566909893	(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.42578125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.34994125976844204	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

47.0ms

256×

valid

Compiler

Compiled 139 to 25 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (47.3% of total)

ival-sqrt: 12.0ms (37.9% of total)

ival-pow: 4.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series320.0ms (4.5%)

Memory

13.4MiB live, 361.7MiB allocated

Counts

18 → 192

Calls

Call 1

Inputs
#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.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 (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<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 (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 7)) 1/8) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
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#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.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 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<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>) () ())) ())
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#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (patch (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3)))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3)))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3)))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3)))) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (patch (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.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

112.0ms

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* x 2) (sqrt x))) (sqrt (sqrt x))) (sqrt (* (* x 2) (sqrt x))) (* (* x 2) (sqrt x)) (* (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (sqrt (sqrt (sqrt x)))) (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (* (* x 2) (sqrt (* (sqrt x) x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (* (sqrt x) x))

110.0ms

-inf

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* x 2) (sqrt x))) (sqrt (sqrt x))) (sqrt (* (* x 2) (sqrt x))) (* (* x 2) (sqrt x)) (* (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (sqrt (sqrt (sqrt x)))) (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (* (* x 2) (sqrt (* (sqrt x) x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (* (sqrt x) x))

93.0ms

inf

((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* (* x 2) (sqrt x))) (sqrt (sqrt x))) (sqrt (* (* x 2) (sqrt x))) (* (* x 2) (sqrt x)) (* (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (sqrt (sqrt (sqrt x)))) (sqrt (* (* x 2) (sqrt (* (sqrt x) x)))) (* (* x 2) (sqrt (* (sqrt x) x))) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (* (sqrt x) x))

simplify362.0ms (5.1%)

Memory

9.7MiB live, 90.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 554×	`associate-r`
3 536×	`lower-*.f64`
3 536×	`lower-*.f32`
3 412×	`lower-fma.f64`
3 412×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	1116
1	138	1116
2	327	1104
3	516	1104
4	909	1104
5	1457	1104
6	2007	1104
7	2131	1104
8	2299	1104
9	2533	1104
10	2685	1104
11	3206	1104
12	3502	1104
13	3548	1104
14	3582	1104
15	3622	1104
16	3671	1104
17	3726	1104
18	3759	1104
19	3788	1104
20	3804	1104
21	3808	1104
22	3956	1104
23	4020	1104
24	4020	1104
25	4436	1104
26	6192	1104
27	6867	1104
28	7074	1104
29	7108	1104
30	7120	1104
31	7298	1104
32	7466	1104
33	7550	1104
34	7562	1104
35	7562	1104
36	7562	1104
0	8623	1104

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 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
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 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))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 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 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 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)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) x)) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/4 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))

rewrite259.0ms (3.6%)

Memory

0.3MiB live, 118.0MiB allocated

Rules

5 724×	`lower-fma.f64`
5 724×	`lower-fma.f32`
3 232×	`lower-*.f32`
3 212×	`lower-*.f64`
1 618×	`lower-pow.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	109
0	42	93
1	85	87
2	232	74
3	869	70
4	4405	70
0	8193	70

Stop Event

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

Counts

18 → 772

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)

Outputs
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)))
(.f64 (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)))
(.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64)) (.f64 (*.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x) (pow.f64 #s(literal 16 binary64) #s(literal 1/64 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 64 binary64) #s(literal 1/16 binary64)) x))
(.f64 (.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) x) (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/16 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 #s(literal 16 binary64)) #s(literal 1/16 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x))) (.f64 (log.f64 x) #s(literal 1/16 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 #s(literal 2 binary64) x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 4 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 4 binary64)) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
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(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/16 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x) #s(literal 3/4 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)))) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 3/16 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x) #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 3/16 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 12 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(fabs.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x))) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x) #s(literal 3/4 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 x)) x))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 3/8 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 12 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (.f64 (.f64 x x) x))
(fabs.f64 (*.f64 (sqrt.f64 x) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #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 #s(literal 3/8 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 6 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)))

eval268.0ms (3.8%)

Memory: 11.5MiB live, 272.4MiB allocated
Compiler: Compiled 19 635 to 2 270 computations (88.4% saved)

prune154.0ms (2.2%)

Memory

22.1MiB live, 272.6MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 291	9	1 300
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1 294	15	1 309

Accuracy

100.0%

Counts

1 309 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
	81.5%	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	81.5%	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
	70.5%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	59.4%	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	70.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	70.5%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	98.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
	99.0%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 322 to 212 computations (34.2% saved)

simplify7.0ms (0.1%)

Memory

-26.5MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff	2240	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) x)
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))

Rules

124×	`lower-*.f32`
100×	`lower-*.f64`
48×	`*-commutative`
32×	`associate-r`
30×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	181
0	46	181
1	67	172
2	97	171
3	117	171
0	117	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))

Outputs
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))

localize79.0ms (1.1%)

Memory

14.8MiB live, 161.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))
accuracy	0.33984375	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.37337875976844204	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	11.96809329303664	(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
accuracy	0.09765625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.34994125976844204	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.3600387695368841	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.33107377930532605	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.3359375	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.09765625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.203125	(*.f64 (sqrt.f64 x) x)
accuracy	0.36328125	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	19.28312964072618	(sqrt.f64 (*.f64 (sqrt.f64 x) x))
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.42578125	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 183 to 27 computations (85.2% saved)

Precisions

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

ival-mult: 18.0ms (45.5% of total)

ival-sqrt: 10.0ms (25.3% of total)

ival-pow2: 7.0ms (17.7% of total)

ival-pow: 4.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series227.0ms (3.2%)

Memory

-5.3MiB live, 610.0MiB allocated

Counts

20 → 216

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (patch (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) x) (patch (.f64 (sqrt.f64 x) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.f64 (sqrt.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) x)) (patch (sqrt.f64 (.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 (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 (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

87.0ms

-inf

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) 2))) (sqrt (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (* 2 x)) (* 2 x) (* (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt x)) (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (* (sqrt (sqrt x)) (* 2 x))) (* (sqrt (sqrt x)) (* 2 x)) (sqrt (sqrt x)))

76.0ms

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) 2))) (sqrt (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (* 2 x)) (* 2 x) (* (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt x)) (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (* (sqrt (sqrt x)) (* 2 x))) (* (sqrt (sqrt x)) (* 2 x)) (sqrt (sqrt x)))

57.0ms

inf

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (sqrt (* (sqrt x) x)) (sqrt (* (sqrt x) 2))) (sqrt (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (* 2 x)) (* 2 x) (* (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt x)) (* (sqrt (* (sqrt x) 2)) (sqrt (sqrt x))) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (sqrt (* (sqrt (sqrt x)) (* 2 x))) (sqrt (sqrt x))) (sqrt (* (sqrt (sqrt x)) (* 2 x))) (* (sqrt (sqrt x)) (* 2 x)) (sqrt (sqrt x)))

simplify383.0ms (5.4%)

Memory

-4.8MiB live, 224.1MiB allocated

Algorithm

1×	egg-herbie

Rules

29 384×	`lower-fma.f64`
29 384×	`lower-fma.f32`
4 340×	`lower-*.f64`
4 340×	`lower-*.f32`
2 152×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1280
1	182	1280
2	462	1272
3	771	1272
4	1124	1272
5	1886	1272
6	2485	1272
7	2694	1272
8	2914	1272
9	3178	1272
10	3317	1272
11	4152	1272
12	4558	1272
13	4599	1272
14	4607	1272
15	4727	1272
16	4752	1272
17	4765	1272
18	4772	1272
19	4777	1272
20	4779	1272
21	4779	1272
22	4819	1272
23	4835	1272
24	4835	1272
25	5456	1272
26	7811	1272
0	8139	1272

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 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)))
(* -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 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))

Outputs
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
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(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))

rewrite180.0ms (2.5%)

Memory

28.7MiB live, 185.4MiB allocated

Rules

4 800×	`lower-fma.f64`
4 800×	`lower-fma.f32`
2 664×	`lower-*.f32`
2 640×	`lower-*.f64`
1 552×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	46	118
1	103	101
2	288	83
3	1076	75
4	5450	75
0	8191	75

Stop Event

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

Counts

20 → 658

Calls

Call 1

Inputs
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))
(sqrt.f64 (sqrt.f64 x))

Outputs
#s(literal 1 binary64)
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)))
(pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(exp.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 (.f64 x #s(literal 2 binary64)) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) x) (.f64 (*.f64 x x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 4 binary64) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 3/4 binary64)))
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(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 x) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) x) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 #s(literal 4 binary64) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) x) (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))))))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 3/8 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (exp.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (E.f64) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))

eval231.0ms (3.2%)

Memory: 3.9MiB live, 467.4MiB allocated
Compiler: Compiled 27 869 to 2 853 computations (89.8% saved)

prune206.0ms (2.9%)

Memory

-20.3MiB live, 390.8MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1 657	8	1 665
Fresh	4	1	5
Picked	0	5	5
Done	0	5	5
Total	1 661	19	1 680

Accuracy

100.0%

Counts

1 680 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
	98.8%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
▶	98.8%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
	99.0%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	81.5%	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	81.5%	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
	70.5%	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	59.4%	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	70.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	70.5%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	53.5%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 380 to 237 computations (37.6% saved)

simplify13.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	5120	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))

Rules

466×	`lower-*.f32`
438×	`lower-*.f64`
308×	`associate-r`
216×	`associate-l`
94×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	196
0	48	194
1	77	194
2	129	194
3	162	188
4	235	179
5	282	178
6	407	178
7	444	178
8	445	178
0	445	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.2%)

Memory

-16.6MiB live, 143.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.3046875	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	0.33984375	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.37337875976844204	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	0.1875	(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))
accuracy	0.33107377930532605	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.3984375	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	11.96809329303664	(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))
accuracy	0.09765625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.33107377930532605	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.336601269536884	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0	(*.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(pow.f64 x #s(literal 1/4 binary64))
accuracy	0.125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.33107377930532605	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.3359375	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64)))

Samples

61.0ms

256×

valid

Compiler

Compiled 198 to 28 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (49.1% of total)

ival-sqrt: 12.0ms (28.1% of total)

ival-pow: 9.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

series223.0ms (3.1%)

Memory

-18.0MiB live, 369.9MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 x) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

109.0ms

-inf

((* (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (* 2 x)) (* 2 x) (* x 1) (* (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (sqrt x))) (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) (* x 2))) (* (sqrt (sqrt x)) (* x 2)) (* (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (* x 2)) (sqrt (sqrt x)) (pow x 1/4))

57.0ms

inf

((* (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (* 2 x)) (* 2 x) (* x 1) (* (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (sqrt x))) (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) (* x 2))) (* (sqrt (sqrt x)) (* x 2)) (* (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (* x 2)) (sqrt (sqrt x)) (pow x 1/4))

50.0ms

((* (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (sqrt x))) (* (sqrt (* 2 x)) (pow x 1/4)) (sqrt (* 2 x)) (* 2 x) (* x 1) (* (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (sqrt x))) (* (sqrt (* (sqrt x) 2)) (sqrt x)) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* (sqrt (sqrt x)) (* x 2))) (sqrt (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) (* x 2))) (* (sqrt (sqrt x)) (* x 2)) (* (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x))) (* (sqrt (* x 2)) (sqrt (sqrt (sqrt x)))) (sqrt (* x 2)) (sqrt (sqrt x)) (pow x 1/4))

simplify138.0ms (1.9%)

Memory

-12.4MiB live, 106.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 916×	`lower-fma.f64`
3 916×	`lower-fma.f32`
3 330×	`lower-*.f64`
3 330×	`lower-*.f32`
1 500×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	93	1528
1	210	1528
2	520	1504
3	1036	1504
4	1467	1500
5	2411	1500
6	3526	1500
7	5139	1472
8	6826	1472
0	8060	1472

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
x
x
x
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
x
x
x
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
x
x
x
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
x
x
x
x
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* 2 (pow (* 1 (pow x 5)) 1/4))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 7)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/4 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
x
x
x
x
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 7)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))

rewrite283.0ms (4%)

Memory

16.7MiB live, 209.2MiB allocated

Rules

6 990×	`lower-fma.f64`
6 990×	`lower-fma.f32`
3 714×	`lower-*.f32`
3 690×	`lower-*.f64`
2 144×	`lower-pow.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	154
0	48	134
1	104	109
2	283	86
3	1197	84
4	4046	84
0	8254	84

Stop Event

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

Counts

19 → 1 051

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) (.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) (.f64 (sqrt.f64 x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (log.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (exp.f64 (fma.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 x) (.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
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(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 4 binary64) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal 1/2 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/32 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/32 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/16 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/32 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/32 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (/.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/16 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))

eval274.0ms (3.8%)

Memory: 0.1MiB live, 388.1MiB allocated
Compiler: Compiled 33 948 to 2 943 computations (91.3% saved)

prune372.0ms (5.2%)

Memory

19.6MiB live, 393.6MiB allocated

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	1 797	2	1 799
Fresh	0	4	4
Picked	2	3	5
Done	0	10	10
Total	1 799	19	1 818

Accuracy

100.0%

Counts

1 818 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
	98.8%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
✓	98.8%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
	98.9%	(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
	99.0%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	81.5%	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
	70.5%	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	59.4%	(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	70.1%	(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	70.5%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
	20.3%	x

Compiler

Compiled 577 to 239 computations (58.6% saved)

regimes61.0ms (0.9%)

Memory

-20.1MiB live, 18.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))

Outputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Calls

3 calls:

45.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
8.0ms	x
7.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

3 calls:

2.0ms	x
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
2.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
20.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

-27.5MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

Outputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x

soundness1.2s (16.7%)

Memory

13.2MiB live, 368.2MiB allocated

Rules

6 990×	`lower-fma.f64`
6 990×	`lower-fma.f32`
5 724×	`lower-fma.f64`
5 724×	`lower-fma.f32`
5 230×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12
0	26	154
0	48	134
1	104	109
2	283	86
3	1197	84
4	4046	84
0	8254	84
0	25	141
0	46	118
1	103	101
2	288	83
3	1076	75
4	5450	75
0	8191	75
0	23	109
0	42	93
1	85	87
2	232	74
3	869	70
4	4405	70
0	8193	70

Stop Event

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

Compiler

Compiled 66 to 43 computations (34.8% saved)

preprocess26.0ms (0.4%)

Memory: 28.0MiB live, 66.4MiB allocated
Compiler: Compiled 72 to 50 computations (30.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	26	196
0	48	194
1	77	194
2	129	194
3	162	188
4	235	179
5	282	178
6	407	178
7	444	178
8	445	178
0	445	178

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	26	196
0	48	194
1	77	194
2	129	194
3	162	188
4	235	179
5	282	178
6	407	178
7	444	178
8	445	178
0	445	178

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (19.7%)

explain65.0ms (0.9%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite143.0ms (2%)

eval16.0ms (0.2%)

prune30.0ms (0.4%)

simplify5.0ms (0.1%)

localize64.0ms (0.9%)

series320.0ms (4.5%)

simplify362.0ms (5.1%)

rewrite259.0ms (3.6%)

eval268.0ms (3.8%)

prune154.0ms (2.2%)

simplify7.0ms (0.1%)

localize79.0ms (1.1%)

series227.0ms (3.2%)

simplify383.0ms (5.4%)

rewrite180.0ms (2.5%)

eval231.0ms (3.2%)

prune206.0ms (2.9%)

simplify13.0ms (0.2%)

localize83.0ms (1.2%)

series223.0ms (3.1%)

simplify138.0ms (1.9%)

rewrite283.0ms (4%)

eval274.0ms (3.8%)

prune372.0ms (5.2%)

regimes61.0ms (0.9%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

soundness1.2s (16.7%)

preprocess26.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	26	196
0	48	194
1	77	194
2	129	194
3	162	188
4	235	179
5	282	178
6	407	178
7	444	178
8	445	178
0	445	178