Metrics for sqrt B (should all be same)

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample696.0ms (10.1%)

Memory

37.1MiB live, 1 033.9MiB allocated

Samples

547.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 109.0ms (60.2% of total)

ival-sqrt: 60.0ms (33.1% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.2% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess16.0ms (0.2%)

Memory

-9.7MiB live, 27.8MiB allocated

Algorithm

2×	egg-herbie

Rules

36×	`associate-r`
34×	`distribute-lft-neg-in`
26×	`distribute-rgt-neg-in`
24×	`neg-sub0`
24×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	27	19
2	64	19
3	154	19
4	214	19
5	231	19
6	233	19
0	5	6
1	9	6
2	10	6
0	10	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (* (* 2 x) x))

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

Call 2

Inputs
(sqrt (* (* 2 x) x))
(sqrt (* (* 2 (neg x)) (neg x)))
(neg (sqrt (* (* 2 (neg x)) (neg x))))

Outputs
(sqrt (* (* 2 x) x))
(sqrt (* 2 (* x x)))
(sqrt (* (* 2 (neg x)) (neg x)))
(sqrt (* 2 (* x x)))
(neg (sqrt (* (* 2 (neg x)) (neg x))))
(neg (sqrt (* 2 (* x x))))

Symmetry

(abs x)

explain59.0ms (0.9%)

Memory

4.3MiB live, 126.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	5	(2.986359428233341e-162)	`(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	67	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	67
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	47	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	47

Confusion

	Predicted +	Predicted -
+	114	5
-	0	137

Precision

1.0

Recall

0.957983193277311

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	5
-	0	0	137

Precision?

1.0

Recall?

0.957983193277311

Freqs

test

number	freq
0	142
1	114

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-mult: 6.0ms (56.8% of total)

ival-sqrt: 4.0ms (37.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	9	16
2	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (* (* 2 x) x))
(* (* 2 x) x)
(* 2 x)
2
x

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

localize34.0ms (0.5%)

Memory

-8.3MiB live, 29.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

27.0ms

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 (58.1% of total)

ival-sqrt: 2.0ms (38.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (sqrt (* (* 2 x) x))>
#<alt (* (* 2 x) x)>
#<alt (* 2 x)>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

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)

rewrite666.0ms (9.7%)

Memory

-9.0MiB live, 508.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 230×	`-lowering-.f32`
5 230×	`-lowering-.f64`
3 666×	`/-lowering-/.f32`
3 666×	`/-lowering-/.f64`
3 090×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	14	14
2	35	13
3	89	12
4	348	12
5	2065	12
0	8669	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(sqrt (* (* 2 x) x))
(* (* 2 x) x)
(* 2 x)

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

simplify9.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
38×	`accelerator-lowering-fma.f32`
38×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.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))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))

eval22.0ms (0.3%)

Memory: -0.3MiB live, 38.5MiB allocated
Compiler: Compiled 2 138 to 355 computations (83.4% saved)

prune62.0ms (0.9%)

Memory

5.3MiB live, 43.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	11	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	12	155

Accuracy

100.0%

Counts

155 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	30.1%	(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
	99.4%	(.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))))
	99.5%	(.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)))))
	64.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	72.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
▶	72.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	72.8%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	57.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
✓	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 267 to 181 computations (32.2% saved)

simplify70.0ms (1%)

Memory

-27.8MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

112×	`-lowering-.f32`
112×	`-lowering-.f64`
44×	`associate-r`
36×	`*-commutative`
36×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	143
1	45	139
2	79	139
3	96	139
0	96	139

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize127.0ms (1.8%)

Memory

30.4MiB live, 189.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 4 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64)))
✓	accuracy	30.1%	(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	accuracy	85.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	72.5%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	72.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Samples

76.0ms

256×

valid

Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-pow: 27.0ms (47.9% of total)

ival-mult: 16.0ms (28.4% of total)

ival-sqrt: 13.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

series275.0ms (4%)

Memory

-40.8MiB live, 342.4MiB allocated

Counts

19 → 216

Calls

Call 1

Inputs
#<alt (* (sqrt (* 2 x)) (sqrt x))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (* (sqrt 2) x)>
#<alt (sqrt 2)>
#<alt (* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))>
#<alt (sqrt (* (* 2 x) (sqrt x)))>
#<alt (* (* 2 x) (sqrt x))>
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))>
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))>
#<alt (* (* 2 x) (sqrt (sqrt x)))>
#<alt (pow (* (* x (* x x)) (* x 4)) 1/4)>
#<alt (* (* x (* x x)) (* x 4))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt x)))>
#<alt (* x 4)>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* (pow 4 1/4) x)>
#<alt (* -1 (* (pow 4 1/4) x))>
#<alt (* -1 (* (pow 4 1/4) x))>
#<alt (* -1 (* (pow 4 1/4) x))>
#<alt (* -1 (* (pow 4 1/4) x))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (* 4 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>

Calls

54 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(sqrt (* (* 2 x) (sqrt x)))
45.0ms	x	@	0	(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
40.0ms	x	@	0	(* (sqrt (* (* 2 x) (sqrt x))) (sqrt (sqrt x)))
34.0ms	x	@	0	(pow (* (* x (* x x)) (* x 4)) 1/4)
30.0ms	x	@	-inf	(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))

rewrite410.0ms (6%)

Memory

-11.2MiB live, 666.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 254×	`accelerator-lowering-fma.f32`
7 254×	`accelerator-lowering-fma.f64`
3 854×	`-lowering-.f32`
3 854×	`-lowering-.f64`
1 872×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	93
1	76	88
2	260	73
3	1126	73
4	6618	73
0	8519	73

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 805

Calls

Call 1

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

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

simplify446.0ms (6.5%)

Memory

11.8MiB live, 444.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 924×	`-lowering-.f32`
3 924×	`-lowering-.f64`
3 708×	`accelerator-lowering-fma.f32`
3 708×	`accelerator-lowering-fma.f64`
3 076×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1164
1	141	1164
2	327	1160
3	523	1160
4	795	1160
5	1124	1160
6	1758	1160
7	2214	1160
8	2601	1160
9	2932	1160
10	3123	1160
11	3201	1160
12	3282	1160
13	3375	1160
14	3436	1160
15	3691	1160
16	3805	1160
17	3813	1160
18	3813	1160
19	3813	1160
20	4229	1160
21	5987	1160
22	6142	1160
23	6217	1160
24	6219	1160
25	6221	1160
26	6535	1160
27	6707	1160
28	6755	1160
29	6779	1160
30	6803	1160
31	6803	1160
32	7003	1160
33	7083	1160
34	7083	1160
0	8097	1160

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 (* (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)))
(* 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 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))))
(* (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)
(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)))
(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)))
(* 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))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 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))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 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))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 4 1/4) x)
(fma.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* -1 (* (pow 4 1/4) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* (pow 4 1/4) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* (pow 4 1/4) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* (pow 4 1/4) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 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)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 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)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 x)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))

eval162.0ms (2.4%)

Memory: 37.4MiB live, 330.7MiB allocated
Compiler: Compiled 20 230 to 1 690 computations (91.6% saved)

prune89.0ms (1.3%)

Memory

-10.3MiB live, 209.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 254	7	1 261
Fresh	3	3	6
Picked	0	5	5
Done	0	1	1
Total	1 257	16	1 273

Accuracy

100.0%

Counts

1 273 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.1%	(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
	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 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	37.0%	(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 x)))
	72.8%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
▶	85.8%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	72.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	72.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	63.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
▶	72.8%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	57.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
✓	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 354 to 228 computations (35.6% saved)

simplify78.0ms (1.1%)

Memory

-25.3MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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) (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 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	2240	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 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	(*.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

156×	`-lowering-.f32`
156×	`-lowering-.f64`
62×	`associate-r`
54×	`*-commutative`
32×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	196
1	47	191
2	78	184
3	118	183
4	119	183
0	119	183

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.5%)

Memory

31.8MiB live, 228.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	85.7%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
✓	accuracy	99.7%	(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	72.5%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	57.3%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	72.5%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.7%	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.6%	(.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

62.0ms

256×

valid

Compiler

Compiled 198 to 27 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 27.0ms (58.9% of total)

ival-sqrt: 13.0ms (28.4% of total)

ival-pow: 6.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

10.1MiB live, 130.4MiB allocated

Counts

20 → 228

Calls

Call 1

Inputs
#<alt (* (pow 2 1/4) (* x (pow 2 1/4)))>
#<alt (pow 2 1/4)>
#<alt (* x (pow 2 1/4))>
#<alt (* (sqrt (* x (sqrt x))) (sqrt (* (sqrt x) 2)))>
#<alt (sqrt (* x (sqrt x)))>
#<alt (* x (sqrt x))>
#<alt (sqrt x)>
#<alt (* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (sqrt (sqrt x)))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (sqrt (* (* (* 2 x) (sqrt (* x (sqrt x)))) (sqrt (sqrt x))))>
#<alt (* (* (* 2 x) (sqrt (* x (sqrt x)))) (sqrt (sqrt x)))>
#<alt (* (* 2 x) (sqrt (* x (sqrt x))))>
#<alt (* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (* (sqrt (sqrt x)) (sqrt x))))>
#<alt (sqrt (* (* 2 x) (sqrt (sqrt x))))>
#<alt (* (* 2 x) (sqrt (sqrt x)))>
#<alt (sqrt (* (sqrt x) 2))>
#<alt (sqrt (sqrt x))>
#<alt (* (sqrt (sqrt x)) (sqrt x))>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* (pow 2 1/4) x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 7)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 5)) 1/4))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>

Calls

57 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(* x (pow 2 1/4))
9.0ms	x	@	0	(* (* 2 x) (sqrt (* x (sqrt x))))
7.0ms	x	@	inf	(* (* 2 x) (sqrt (* x (sqrt x))))
7.0ms	x	@	0	(* (sqrt (* 2 x)) (sqrt (sqrt x)))
1.0ms	x	@	-inf	(* (sqrt (* x (sqrt x))) (sqrt (* (sqrt x) 2)))

rewrite424.0ms (6.2%)

Memory

-11.5MiB live, 480.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 028×	`accelerator-lowering-fma.f32`
6 028×	`accelerator-lowering-fma.f64`
3 422×	`-lowering-.f32`
3 422×	`-lowering-.f64`
1 916×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	128
1	81	119
2	269	81
3	1018	81
4	5373	81
0	8144	81

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 795

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #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 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x 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 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) #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 (.f64 #s(literal 2 binary64) (log.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 (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)))
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(pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (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)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 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 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.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 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (log.f64 x) #s(literal 5/4 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (log.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 (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (fabs.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)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/16 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 3/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (log.f64 x) #s(literal 5/4 binary64)))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 3/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))

simplify1.0s (14.7%)

Memory

-0.3MiB live, 1 065.5MiB allocated

Algorithm

1×	egg-herbie

Rules

28 872×	`accelerator-lowering-fma.f32`
28 872×	`accelerator-lowering-fma.f64`
4 376×	`-lowering-.f32`
4 376×	`-lowering-.f64`
2 026×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1368
1	172	1368
2	433	1356
3	765	1356
4	1076	1356
5	1882	1356
6	2499	1356
7	2684	1356
8	2863	1356
9	3074	1356
10	3191	1356
11	3900	1356
12	4233	1356
13	4262	1356
14	4270	1356
15	4338	1356
16	4363	1356
17	4376	1356
18	4395	1356
19	4435	1356
20	4488	1356
21	4521	1356
22	4658	1356
23	4726	1356
24	4730	1356
25	4730	1356
26	5363	1356
27	7562	1356
0	8002	1356

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)
(* 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)))
(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 (* (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)
(* 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))))
(* 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) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 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 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))))
(* (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)))
(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)))

Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow 2 1/4) x)
(fma.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 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))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* 2 (pow (* 1 (pow x 7)) 1/4))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4 binary64)))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 7)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 x (sqrt.f64 #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt -2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 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))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -2 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 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)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))

eval247.0ms (3.6%)

Memory: 25.8MiB live, 555.4MiB allocated
Compiler: Compiled 34 054 to 3 533 computations (89.6% saved)

prune217.0ms (3.2%)

Memory

-16.8MiB live, 323.2MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1 911	7	1 918
Fresh	1	4	5
Picked	1	4	5
Done	1	5	6
Total	1 914	20	1 934

Accuracy

100.0%

Counts

1 934 → 20

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))))
▶	98.7%	(.f64 (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	72.8%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	85.8%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	72.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	72.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	63.9%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
✓	72.8%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	37.1%	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
	37.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x))))
✓	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 429 to 282 computations (34.3% saved)

simplify12.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	cost-diff	640	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	640	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	3200	(.f64 (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #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 #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	640	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	cost-diff	320	(sqrt.f64 (.f64 x (.f64 x 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

272×	`-lowering-.f32`
272×	`-lowering-.f64`
166×	`associate-r`
96×	`associate-l`
50×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	192
1	53	187
2	78	180
3	117	180
4	170	180
5	256	180
6	279	180
7	294	180
8	295	180
0	295	180

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize122.0ms (1.8%)

Memory

-2.3MiB live, 233.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.4%	(.f64 (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	72.5%	(sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x))))
✓	accuracy	64.9%	(sqrt.f64 (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 204 to 30 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 22.0ms (52.1% of total)

ival-sqrt: 14.0ms (33.2% of total)

ival-pow: 6.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (1.4%)

Memory

-16.6MiB live, 199.1MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* (pow x 3/4) (sqrt (* (sqrt x) 2)))>
#<alt (pow x 3/4)>
#<alt (sqrt (* (sqrt x) 2))>
#<alt (* (sqrt x) 2)>
#<alt (sqrt (* x (* x x)))>
#<alt (* (sqrt (sqrt (* x (* x x)))) (sqrt (* (sqrt x) 2)))>
#<alt (sqrt (sqrt (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt x))>
#<alt (sqrt (* 2 (sqrt x)))>
#<alt (* 2 (sqrt x))>
#<alt (* (* (* (sqrt x) (sqrt 2)) (sqrt (sqrt x))) (sqrt (sqrt x)))>
#<alt (* (* (sqrt x) (sqrt 2)) (sqrt (sqrt x)))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (sqrt x)>
#<alt (* (sqrt (sqrt x)) (sqrt x))>
#<alt (* (* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt x)) (sqrt (* (sqrt (sqrt x)) (sqrt x))))>
#<alt (* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt x))>
#<alt (sqrt (* 2 (sqrt (sqrt x))))>
#<alt (sqrt (sqrt x))>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -1) (sqrt 2))))>
#<alt (* -1 (* x (* (sqrt -1) (sqrt 2))))>
#<alt (* -1 (* x (* (sqrt -1) (sqrt 2))))>
#<alt (* -1 (* x (* (sqrt -1) (sqrt 2))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>

Calls

63 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt x))
20.0ms	x	@	-inf	(pow x 3/4)
16.0ms	x	@	-inf	(* (pow x 3/4) (sqrt (* (sqrt x) 2)))
9.0ms	x	@	0	(sqrt (* 2 (sqrt (sqrt x))))
8.0ms	x	@	inf	(pow x 3/4)

rewrite407.0ms (5.9%)

Memory

17.1MiB live, 575.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 756×	`accelerator-lowering-fma.f32`
5 756×	`accelerator-lowering-fma.f64`
4 100×	`-lowering-.f32`
4 100×	`-lowering-.f64`
2 132×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	116
1	87	113
2	280	86
3	1111	86
4	4152	86
0	8443	86

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 305

Calls

Call 1

Inputs
(* (pow x 3/4) (sqrt (* (sqrt x) 2)))
(pow x 3/4)
(sqrt (* (sqrt x) 2))
(* (sqrt x) 2)
(sqrt (* x (* x x)))
(* (sqrt (sqrt (* x (* x x)))) (sqrt (* (sqrt x) 2)))
(sqrt (sqrt (* x (* x x))))
(* x (* x x))
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
(* (* (* (sqrt x) (sqrt 2)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (* (sqrt x) (sqrt 2)) (sqrt (sqrt x)))
(* (sqrt x) (sqrt 2))
(sqrt x)
(* (sqrt (sqrt x)) (sqrt x))
(* (* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt x)) (sqrt (* (sqrt (sqrt x)) (sqrt x))))
(* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt x))
(sqrt (* 2 (sqrt (sqrt x))))
(sqrt (sqrt 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 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 4 binary64))) #s(literal 1/4 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 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) 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 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) x))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x) #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x) #s(literal 2 binary64)) (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 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/4 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 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) 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 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 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 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))) (sqrt.f64 (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 (.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.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 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 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 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 3/16 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))
(sqrt.f64 (*.f64 (sqrt.f64 x) x))
(pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/8 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 3/16 binary64))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 3/32 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))) #s(literal 3/32 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (*.f64 x x)) #s(literal 3/32 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
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(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x))))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) 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 (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 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) #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 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64))))
(.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #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 (exp.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (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)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #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 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/32 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))) #s(literal 1/32 binary64))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (*.f64 x x)) #s(literal 1/32 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (E.f64) (/.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (pow.f64 (.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x)) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/16 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x))))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x)) #s(literal 1/16 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.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 (log.f64 x) #s(literal 1/8 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)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) x)) x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))

simplify253.0ms (3.7%)

Memory

-11.0MiB live, 304.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 084×	`accelerator-lowering-fma.f32`
3 084×	`accelerator-lowering-fma.f64`
3 060×	`-lowering-.f32`
3 060×	`-lowering-.f64`
1 584×	`unsub-neg`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	80	1516
1	178	1504
2	461	1484
3	857	1484
4	1377	1484
5	2490	1484
6	3385	1484
7	3926	1484
8	4275	1484
9	4560	1484
10	4913	1484
11	6425	1468
12	7307	1452
0	8110	1452

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)))
(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))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (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 -1) (sqrt 2))))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* -1 (* x (* (sqrt -1) (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 (sqrt -1)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(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)
(* 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 (* (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)))
(* (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)))
(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)))
(* 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 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 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* 1 x) 1/8) (sqrt 2))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (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))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 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)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 5)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 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)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))

eval295.0ms (4.3%)

Memory: 28.3MiB live, 440.7MiB allocated
Compiler: Compiled 44 948 to 4 218 computations (90.6% saved)

prune184.0ms (2.7%)

Memory

17.2MiB live, 334.4MiB allocated

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	2 470	5	2 475
Fresh	3	3	6
Picked	0	5	5
Done	1	8	9
Total	2 474	21	2 495

Accuracy

100.0%

Counts

2 495 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 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)))
	98.8%	(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	98.7%	(.f64 (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	98.9%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	72.8%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	72.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	72.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	63.9%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
✓	72.8%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	37.1%	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	57.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
	37.2%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x))))
✓	57.3%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 691 to 299 computations (56.7% saved)

regimes28.0ms (0.4%)

Memory

-4.8MiB live, 34.6MiB allocated

Counts

31 → 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 (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 (sqrt.f64 (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (*.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)))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 x x))))) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) x)) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (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))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (.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 (.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (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))))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 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 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Calls

3 calls:

10.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
9.0ms	x
8.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -27.1b remaining (-5774.8%)

Threshold costs -27.1b (-5774.8%)

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

-29.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness146.0ms (2.1%)

Memory

-1.4MiB live, 75.0MiB allocated

Rules

5 230×	`-lowering-.f32`
5 230×	`-lowering-.f64`
3 666×	`/-lowering-/.f32`
3 666×	`/-lowering-/.f64`
3 090×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	14	14
2	35	13
3	89	12
4	348	12
5	2065	12
0	8669	12

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 25 to 18 computations (28% saved)

preprocess38.0ms (0.5%)

Memory: -5.5MiB live, 49.9MiB allocated
Compiler: Compiled 70 to 50 computations (28.6% 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	28	192
1	53	187
2	78	180
3	117	180
4	170	180
5	256	180
6	279	180
7	294	180
8	295	180
0	295	180

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	28	192
1	53	187
2	78	180
3	117	180
4	170	180
5	256	180
6	279	180
7	294	180
8	295	180
0	295	180

analyze0.0ms (0%)

sample696.0ms (10.1%)

preprocess16.0ms (0.2%)

explain59.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize34.0ms (0.5%)

series3.0ms (0%)

rewrite666.0ms (9.7%)

simplify9.0ms (0.1%)

eval22.0ms (0.3%)

prune62.0ms (0.9%)

simplify70.0ms (1%)

localize127.0ms (1.8%)

series275.0ms (4%)

rewrite410.0ms (6%)

simplify446.0ms (6.5%)

eval162.0ms (2.4%)

prune89.0ms (1.3%)

simplify78.0ms (1.1%)

localize104.0ms (1.5%)

series54.0ms (0.8%)

rewrite424.0ms (6.2%)

simplify1.0s (14.7%)

eval247.0ms (3.6%)

prune217.0ms (3.2%)

simplify12.0ms (0.2%)

localize122.0ms (1.8%)

series94.0ms (1.4%)

rewrite407.0ms (5.9%)

simplify253.0ms (3.7%)

eval295.0ms (4.3%)

prune184.0ms (2.7%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

simplify8.0ms (0.1%)

soundness146.0ms (2.1%)

preprocess38.0ms (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	28	192
1	53	187
2	78	180
3	117	180
4	170	180
5	256	180
6	279	180
7	294	180
8	295	180
0	295	180