Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.3s (19%)

Memory

40.2MiB live, 743.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 922.0ms

ival-mult: 833.0ms (90.4% of total)

ival-sqrt: 76.0ms (8.2% of total)

ival-true: 6.0ms (0.7% of total)

exact: 4.0ms (0.4% of total)

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

Bogosity

explain66.0ms (0.9%)

Memory

-9.1MiB live, 111.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	4	(4.062750211690348e-161)	`(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))`	oflow-rescue	62	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	62
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	56	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	56

Confusion

	Predicted +	Predicted -
+	118	4
-	0	134

Precision

1.0

Recall

0.9672131147540983

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	4
-	0	0	134

Precision?

1.0

Recall?

0.9672131147540983

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

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 (61.5% of total)

ival-sqrt: 4.0ms (35.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.3%)

Memory

-3.7MiB live, 33.4MiB 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 x (.f64 #s(literal 2 binary64) x)))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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 x (.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize47.0ms (0.7%)

Memory

-10.1MiB live, 26.2MiB 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	28.03137333476998	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (56.7% of total)

ival-sqrt: 2.0ms (37.8% 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

6.1MiB live, 6.1MiB 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 (* 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 (* -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 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 (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 (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 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 (* 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 (* 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

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (* (* 2 x) x))
1.0ms	x	@	inf	(* (* 2 x) x)
0.0ms	x	@	inf	(sqrt (* (* 2 x) x))
0.0ms	x	@	0	(* (* 2 x) x)
0.0ms	x	@	-inf	(* 2 x)

simplify6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -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 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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

rewrite235.0ms (3.3%)

Memory

27.1MiB live, 337.7MiB 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
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.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 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 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 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) x) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 (.f64 x x) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x 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 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x 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 #s(literal 2 binary64) (.f64 x x))) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))
(pow.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.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 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 3/8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 7/16 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 7/16 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 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 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 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 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) x) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (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 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x 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 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x 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 #s(literal 2 binary64) (.f64 x x))) (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)))))
(pow.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (log.f64 (/.f64 (.f64 #s(literal 2 binary64) x) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x))))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (sqrt.f64 x))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))

eval18.0ms (0.3%)

Memory: 3.9MiB live, 41.7MiB allocated
Compiler: Compiled 2 116 to 350 computations (83.5% saved)

prune33.0ms (0.5%)

Memory

-6.4MiB live, 78.5MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	8	155

Accuracy

100.0%

Counts

155 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.4%	(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.4%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
▶	71.1%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	70.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 153 to 103 computations (32.7% saved)

simplify8.0ms (0.1%)

Memory

-24.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

92×	`lower-*.f32`
68×	`lower-*.f64`
32×	`associate-r`
24×	`*-commutative`
24×	`lift-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	127
0	44	121
1	62	117
2	85	117
3	92	117
0	92	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.3%)

Memory

6.1MiB live, 190.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.0625	(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))
accuracy	0.10546875	(.f64 x (.f64 x x))
accuracy	44.516781423890485	(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.1640625	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
accuracy	0.296875	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	18.78266409540002	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy	0.1015625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.1640625	(*.f64 x (sqrt.f64 x))
accuracy	0.33431625976844204	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	18.88527543965231	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.4140625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.35775375976844204	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Samples

57.0ms

256×

valid

Compiler

Compiled 129 to 26 computations (79.8% saved)

Precisions

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

ival-mult: 18.0ms (42% of total)

ival-sqrt: 17.0ms (39.7% of total)

ival-pow: 7.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series134.0ms (1.9%)

Memory

13.8MiB live, 230.3MiB allocated

Counts

19 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
61.0ms	x	@	0	(sqrt (* x (sqrt x)))
29.0ms	x	@	0	(pow (* (* x (* x x)) (* x 4)) 1/4)
14.0ms	x	@	inf	(sqrt (* (sqrt x) 2))
7.0ms	x	@	inf	(sqrt (* x (sqrt x)))
6.0ms	x	@	0	(sqrt (* (sqrt x) 2))

simplify362.0ms (5.1%)

Memory

20.7MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 860×	`lower-*.f64`
3 860×	`lower-*.f32`
3 680×	`lower-fma.f64`
3 680×	`lower-fma.f32`
1 780×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1064
1	129	1064
2	354	1060
3	618	1060
4	930	1060
5	1672	1060
6	2238	1060
7	2406	1060
8	2535	1060
9	2648	1060
10	2698	1060
11	3140	1060
12	3341	1060
13	3355	1060
14	3367	1060
15	3379	1060
16	3386	1060
17	3388	1060
18	3388	1060
19	3388	1060
20	3408	1060
21	3416	1060
22	3416	1060
23	4043	1060
24	5479	1060
25	6103	1060
26	6103	1060
27	6603	1060
28	6683	1060
29	6853	1060
30	6887	1060
31	6887	1060
32	6887	1060
33	6887	1060
34	6887	1060
35	7763	1060
0	8115	1060

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite350.0ms (4.9%)

Memory

-41.0MiB live, 368.6MiB allocated

Rules

5 808×	`lower-fma.f64`
5 808×	`lower-fma.f32`
3 354×	`lower-*.f32`
3 330×	`lower-*.f64`
2 154×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	44	87
1	91	81
2	250	70
3	936	70
4	5400	70
0	8234	70

Stop Event

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

Counts

19 → 846

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 16 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 16 binary64)))))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (log.f64 (/.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4 binary64))))))
(pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 16 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (/.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 16 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(pow.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) (log.f64 (/.f64 (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x)))) (pow.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))) (pow.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) (log.f64 (/.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) (log.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 4 binary64))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) (log.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x x))))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) (log.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 x #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 1/16 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 3/16 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) #s(literal 3/16 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64))))) (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x #s(literal 4 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
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(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 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)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (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 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x #s(literal 4 binary64))
(.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) x)
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))

eval157.0ms (2.2%)

Memory: 27.7MiB live, 297.2MiB allocated
Compiler: Compiled 21 106 to 2 062 computations (90.2% saved)

prune120.0ms (1.7%)

Memory

-12.6MiB live, 273.8MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 272	10	1 282
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 275	15	1 290

Accuracy

100.0%

Counts

1 290 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
▶	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	98.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
▶	83.5%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (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)))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
	70.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
✓	70.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 316 to 197 computations (37.7% saved)

simplify7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (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	(pow.f64 x #s(literal 3/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Rules

122×	`lower-*.f32`
96×	`lower-*.f64`
42×	`*-commutative`
40×	`associate-r`
34×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	174
0	45	174
1	67	174
2	90	170
3	96	170
4	105	170
5	114	170
0	114	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize95.0ms (1.3%)

Memory

-10.0MiB live, 174.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.296875	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.37109375	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	10.53220392336962	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
accuracy	0.1015625	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.296875	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.313163769536884	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.1015625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.33431625976844204	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0.359375	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.35775375976844204	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
accuracy	0.4824600586106521	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.33431625976844204	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Samples

58.0ms

256×

valid

Compiler

Compiled 176 to 26 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 23.0ms (56.4% of total)

ival-sqrt: 11.0ms (27% of total)

ival-pow: 6.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series110.0ms (1.6%)

Memory

21.8MiB live, 220.5MiB allocated

Counts

19 → 216

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<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 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())

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

Calls

54 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	(* (pow x 3/4) (sqrt (* (sqrt x) 2)))
16.0ms	x	@	-inf	(sqrt (* (* 2 x) (sqrt (sqrt x))))
12.0ms	x	@	0	(pow x 3/4)
8.0ms	x	@	inf	(sqrt (* (* 2 x) (sqrt (sqrt x))))
7.0ms	x	@	0	(sqrt (* (* 2 x) (sqrt (sqrt x))))

simplify164.0ms (2.3%)

Memory

5.3MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 942×	`lower-fma.f64`
2 942×	`lower-fma.f32`
2 934×	`lower-*.f64`
2 934×	`lower-*.f32`
1 616×	`lower-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	77	1324
1	175	1324
2	469	1312
3	934	1312
4	1457	1312
5	2545	1312
6	3350	1312
7	3844	1288
8	4257	1288
9	4831	1288
10	5733	1288
11	7000	1288
0	8028	1288

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite416.0ms (5.9%)

Memory

18.3MiB live, 337.9MiB allocated

Rules

6 334×	`lower-*.f32`
6 312×	`lower-*.f64`
4 800×	`lower-fma.f64`
4 800×	`lower-fma.f32`
1 698×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	45	109
1	94	107
2	240	78
3	801	78
4	2994	78
0	9111	78

Stop Event

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

Counts

19 → 1 031

Calls

Call 1

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

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

eval620.0ms (8.8%)

Memory: -13.4MiB live, 472.7MiB allocated
Compiler: Compiled 36 553 to 2 923 computations (92% saved)

prune273.0ms (3.9%)

Memory

-18.9MiB live, 347.0MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	2 082	3	2 085
Fresh	3	3	6
Picked	0	5	5
Done	0	4	4
Total	2 085	15	2 100

Accuracy

100.0%

Counts

2 100 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.2%	(.f64 (.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶	98.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
✓	83.5%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	98.7%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	70.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 257 to 159 computations (38.1% saved)

simplify19.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
cost-diff	2880	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (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 (sqrt.f64 x)))
cost-diff	2240	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	0	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff	12608	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))

Rules

702×	`lower-*.f32`
674×	`lower-*.f64`
624×	`associate-r`
286×	`associate-l`
196×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	185
0	47	183
1	73	147
2	128	138
3	285	136
4	635	136
5	680	136
6	694	136
7	694	136
8	694	136
9	789	136
0	789	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize157.0ms (2.2%)

Memory

-5.6MiB live, 165.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.3515625	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	0.35546875	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
accuracy	0.35775375976844204	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.35775375976844204	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
accuracy	0.4824600586106521	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.54296875	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.1484375	(sqrt.f64 (sqrt.f64 x))
accuracy	0.296875	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.36166000976844204	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.35775375976844204	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.47265625	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy	0.2109375	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy	0.26953125	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))

Samples

73.0ms

256×

valid

Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 38.0ms (65.3% of total)

ival-sqrt: 14.0ms (24.1% of total)

ival-pow: 6.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1.3%)

Memory

-4.1MiB live, 150.9MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(* (sqrt (* 2 (sqrt x))) (sqrt (sqrt (sqrt x))))
23.0ms	x	@	0	(* (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
19.0ms	x	@	0	(* x (pow 2 1/4))
14.0ms	x	@	-inf	(* (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
1.0ms	x	@	0	(* (sqrt (* 2 (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify571.0ms (8.1%)

Memory

-3.7MiB live, 585.5MiB allocated

Algorithm

1×	egg-herbie

Rules

35 952×	`lower-fma.f64`
35 952×	`lower-fma.f32`
4 272×	`lower-*.f64`
4 272×	`lower-*.f32`
2 344×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	1132
1	134	1132
2	382	1128
3	690	1128
4	1057	1128
5	1857	1128
6	2550	1128
7	2769	1128
8	2927	1128
9	3054	1128
10	3104	1128
11	3718	1128
12	3979	1128
13	3983	1128
14	3983	1128
15	3995	1128
16	3995	1128
17	3995	1128
18	3995	1128
19	4719	1128
20	7612	1128
0	8012	1128

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

rewrite230.0ms (3.3%)

Memory

0.4MiB live, 473.2MiB allocated

Rules

5 452×	`lower-fma.f64`
5 452×	`lower-fma.f32`
4 986×	`lower-*.f32`
4 962×	`lower-*.f64`
1 876×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	152
0	47	131
1	95	82
2	271	78
3	1081	78
4	3648	78
0	8942	78

Stop Event

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

Counts

20 → 821

Calls

Call 1

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

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

eval592.0ms (8.4%)

Memory: -1.9MiB live, 724.7MiB allocated
Compiler: Compiled 43 791 to 4 339 computations (90.1% saved)

prune276.0ms (3.9%)

Memory

4.3MiB live, 513.8MiB allocated

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	2 418	0	2 418
Fresh	0	1	1
Picked	0	5	5
Done	0	9	9
Total	2 418	15	2 433

Accuracy

100.0%

Counts

2 433 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.2%	(.f64 (.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	98.9%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
✓	83.5%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	98.7%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
✓	70.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	56.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 408 to 182 computations (55.4% saved)

regimes18.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
5.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.6%)

Memory

-20.1MiB live, 17.9MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
4.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
4.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.7MiB allocated

Accuracy

Total -27.8b remaining (-6713.2%)

Threshold costs -27.8b (-6713.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.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:

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
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	18	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness356.0ms (5%)

Memory

-25.6MiB live, 262.3MiB allocated

Rules

5 808×	`lower-fma.f64`
5 808×	`lower-fma.f32`
5 230×	`lower-*.f32`
5 226×	`lower-*.f64`
3 666×	`lower-/.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
0	24	105
0	44	87
1	91	81
2	250	70
3	936	70
4	5400	70
0	8234	70

Stop Event

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

Compiler

Compiled 74 to 44 computations (40.5% saved)

preprocess33.0ms (0.5%)

Memory: 25.9MiB live, 64.1MiB allocated
Compiler: Compiled 116 to 84 computations (27.6% 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	25	185
0	47	183
1	73	147
2	128	138
3	285	136
4	635	136
5	680	136
6	694	136
7	694	136
8	694	136
9	789	136
0	789	136

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	25	185
0	47	183
1	73	147
2	128	138
3	285	136
4	635	136
5	680	136
6	694	136
7	694	136
8	694	136
9	789	136
0	789	136

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (19%)

explain66.0ms (0.9%)

preprocess19.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize47.0ms (0.7%)

series4.0ms (0.1%)

simplify6.0ms (0.1%)

rewrite235.0ms (3.3%)

eval18.0ms (0.3%)

prune33.0ms (0.5%)

simplify8.0ms (0.1%)

localize89.0ms (1.3%)

series134.0ms (1.9%)

simplify362.0ms (5.1%)

rewrite350.0ms (4.9%)

eval157.0ms (2.2%)

prune120.0ms (1.7%)

simplify7.0ms (0.1%)

localize95.0ms (1.3%)

series110.0ms (1.6%)

simplify164.0ms (2.3%)

rewrite416.0ms (5.9%)

eval620.0ms (8.8%)

prune273.0ms (3.9%)

simplify19.0ms (0.3%)

localize157.0ms (2.2%)

series95.0ms (1.3%)

simplify571.0ms (8.1%)

rewrite230.0ms (3.3%)

eval592.0ms (8.4%)

prune276.0ms (3.9%)

regimes18.0ms (0.3%)

regimes41.0ms (0.6%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness356.0ms (5%)

preprocess33.0ms (0.5%)

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	25	185
0	47	183
1	73	147
2	128	138
3	285	136
4	635	136
5	680	136
6	694	136
7	694	136
8	694	136
9	789	136
0	789	136