Metrics for Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample802.0ms (15%)

Results

641.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 143.0ms (94% of total)

const: 7.0ms (4.6% of total)

backward-pass: 2.0ms (1.3% of total)

Bogosity

preprocess57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

162×	`fma-define`
47×	`associate-r`
29×	`unsub-neg`
27×	`distribute-lft-in`
25×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	162
1	55	162
2	115	162
3	247	162
4	423	162
5	573	162
6	583	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)
(.f64 (.f64 x y) y)
(.f64 (.f64 (neg.f64 x) y) y)
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(neg.f64 (.f64 (.f64 (neg.f64 x) y) y))
(neg.f64 (.f64 (.f64 x (neg.f64 y)) (neg.f64 y)))
(.f64 (.f64 y x) x)

Outputs
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(.f64 (.f64 (neg.f64 x) y) y)
(.f64 y (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 y y)))
(.f64 x (.f64 y (neg.f64 y)))
(.f64 (.f64 x (neg.f64 y)) (neg.f64 y))
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(neg.f64 (.f64 (.f64 (neg.f64 x) y) y))
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(neg.f64 (.f64 (.f64 x (neg.f64 y)) (neg.f64 y)))
(.f64 y (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 y y)))
(.f64 x (.f64 y (neg.f64 y)))
(.f64 (.f64 y x) x)
(.f64 y (.f64 x x))
(.f64 x (.f64 x y))

Symmetry

(abs y)

(negabs x)

explain69.0ms (1.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x y) y)`
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`y`

Results

26.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 8.0ms (91.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x y) y)
▶	87.9%	(.f64 x (.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 (.f64 x y) y)
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(.f64 x (.f64 y y))

Rules

3×	`*-commutative`
1×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	14	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 y y))
x
(*.f64 y y)
y
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y

Outputs
(.f64 x (.f64 y y))
x
(*.f64 y y)
y
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))
(*.f64 x y)
x
y

localize55.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (.f64 x y) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	87.9%	(.f64 x (.f64 y y))

Results

20.0ms

256×

valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-mult: 8.0ms (101.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts

4 → 60

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 y y))>
#<alt (*.f64 y y)>
#<alt (.f64 (.f64 x y) y)>
#<alt (*.f64 x y)>

Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (* y y))
1.0ms	y	@	inf	(* x (* y y))
1.0ms	x	@	inf	(* x (* y y))
0.0ms	y	@	0	(* x (* y y))
0.0ms	x	@	inf	(* x y)

rewrite301.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`unpow-prod-down`
412×	`log1p-expm1-u`
412×	`expm1-log1p-u`
390×	`add-exp-log`
375×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	127	61
2	1227	61

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(.f64 x (.f64 y y))
(*.f64 y y)
(.f64 (.f64 x y) y)
(*.f64 x y)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) #s(literal 2 binary64)))

simplify201.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

685×	`prod-exp`
669×	`fma-define`
331×	`exp-sum`
303×	`fma-neg`
274×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	4294970399
1	272	4294970399
2	530	4294970399
3	1462	4294970399
4	3858	4294970399
5	6392	4294970399

Stop Event

1×	node limit

Counts

147 → 71

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) #s(literal 2 binary64)))

Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)

eval9.0ms (0.2%)

Compiler: Compiled 650 to 212 computations (67.4% saved)

prune81.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	66	7	73

Accuracy

100.0%

Counts

73 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
▶	87.2%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
▶	99.5%	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
✓	99.8%	(.f64 (.f64 x y) y)
▶	87.5%	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	87.9%	(.f64 x (.f64 y y))
▶	64.7%	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))

Compiler

Compiled 102 to 74 computations (27.5% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6400	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(sqrt.f64 (*.f64 x y))
✓	cost-diff	6528	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 y #s(literal 6 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	6400	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))

Rules

13×	`*-commutative`
11×	`associate-r`
8×	`associate-l`
3×	`unpow2`
2×	`rem-square-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	351
1	41	331
2	57	315
3	63	315
4	72	315
5	75	315

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 2 binary64)
(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
x
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 y)
y
#s(literal 4 binary64)
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
x
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 2 binary64)
(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
x
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
x
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 y)
y
#s(literal 4 binary64)
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
x
y
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
x
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 3 binary64)

localize120.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	99.4%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	accuracy	87.9%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	53.7%	(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
✓	accuracy	99.4%	(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
✓	accuracy	75.8%	(sqrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	accuracy	87.9%	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	accuracy	100.0%	(pow.f64 y #s(literal 6 binary64))
✓	accuracy	87.9%	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
✓	accuracy	67.4%	(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.6%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))

Results

76.0ms

256×

valid

Compiler

Compiled 99 to 24 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 22.0ms (47.2% of total)

ival-mult: 14.0ms (30% of total)

ival-sqrt: 6.0ms (12.9% of total)

ival-cbrt: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series45.0ms (0.8%)

Counts

16 → 216

Calls

Call 1

Inputs
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))>
#<alt (pow.f64 y #s(literal 6 binary64))>
#<alt (*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))>
#<alt (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))>
#<alt (sqrt.f64 y)>
#<alt (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(cbrt (* x (pow y 2)))
3.0ms	x	@	-inf	(pow (cbrt (* x (pow y 2))) 3)
2.0ms	y	@	-inf	(pow (sqrt y) 4)
2.0ms	x	@	0	(cbrt (* x (pow y 2)))
2.0ms	y	@	inf	(cbrt (* x (pow y 2)))

rewrite216.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log1p-expm1-u`
840×	`expm1-log1p-u`
555×	`log-prod`
217×	`pow-to-exp`
193×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	276
1	401	240
2	3475	240

Stop Event

1×	node limit

Counts

16 → 501

Calls

Call 1

Inputs
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 6 binary64))
(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
(sqrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) y))
(.f64 (.f64 y x) y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (*.f64 y x)))
(.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 y x)) y))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (*.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 (.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 y x)))
(.f64 (.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
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(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))

simplify550.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-r`
457×	`associate-l`
415×	`exp-prod`
330×	`unswap-sqr`
265×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	644	16973
1	1137	15089
2	3802	15057
3	7712	15048

Stop Event

1×	node limit

Counts

717 → 377

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
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(.f64 (.f64 x (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 y x)))
(.f64 (.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 y x)))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))

Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 x)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
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(pow.f64 y #s(literal 2 binary64))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(pow.f64 y #s(literal 2 binary64))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 y #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))

eval123.0ms (2.3%)

Compiler: Compiled 4496 to 1287 computations (71.4% saved)

prune89.0ms (1.7%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	396	4	400
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	396	11	407

Accuracy

100.0%

Counts

407 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	99.5%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
▶	86.6%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
✓	87.2%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	99.5%	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
▶	99.5%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
▶	99.5%	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
✓	99.8%	(.f64 (.f64 x y) y)
✓	87.5%	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	87.9%	(.f64 x (.f64 y y))
✓	64.7%	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))

Compiler

Compiled 104 to 70 computations (32.7% saved)

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (*.f64 y (sqrt.f64 x)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
✓	cost-diff	25600	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓	cost-diff	25600	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 x)
	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	12928	(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(sqrt.f64 (*.f64 y x))
✓	cost-diff	0	(.f64 y (sqrt.f64 (.f64 y x)))
✓	cost-diff	13056	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))

Rules

226×	`associate-r`
106×	`associate-l`
30×	`*-commutative`
6×	`unswap-sqr`
6×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	449
1	45	345
2	86	345
3	231	345
4	451	345
5	511	345

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 y (sqrt.f64 (.f64 y x)))
y
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
x
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 2 binary64)

Outputs
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 y (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))))
(.f64 y (.f64 y x))
(.f64 y (sqrt.f64 (.f64 y x)))
y
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
x
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 y (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))))
(.f64 y (.f64 y x))
(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 y x)
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
(.f64 y (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))))
(.f64 y (.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 y (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x))))
(.f64 y (.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 2 binary64)

localize169.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.6%	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
✓	accuracy	90.4%	(sqrt.f64 (*.f64 y (sqrt.f64 x)))
	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.6%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
✓	accuracy	50.9%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.6%	(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.7%	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
✓	accuracy	99.7%	(.f64 y (sqrt.f64 (.f64 y x)))
✓	accuracy	75.8%	(sqrt.f64 (*.f64 y x))

Results

141.0ms

256×

valid

Compiler

Compiled 115 to 19 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (59.9% of total)

ival-pow: 12.0ms (24% of total)

ival-sqrt: 6.0ms (12% of total)

ival-cbrt: 2.0ms (4% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series141.0ms (2.6%)

Counts

12 → 288

Calls

Call 1

Inputs
#<alt (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))>
#<alt (.f64 y (sqrt.f64 (.f64 y x)))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)>
#<alt (.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))>
#<alt (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))>
#<alt (pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 y (sqrt.f64 x)))>

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

Calls

72 calls:

Time	Variable		Point	Expression
50.0ms	x	@	-inf	(pow (cbrt (pow (* y (sqrt x)) 3)) 2)
39.0ms	y	@	0	(sqrt (* y (sqrt x)))
13.0ms	x	@	0	(sqrt (* y (sqrt x)))
6.0ms	x	@	inf	(sqrt (* y (sqrt x)))
4.0ms	y	@	-inf	(cbrt (pow (* y (sqrt x)) 3))

rewrite268.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`log1p-expm1-u`
799×	`expm1-log1p-u`
575×	`log-prod`
430×	`pow-unpow`
230×	`pow-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	235
1	352	223
2	2674	223

Stop Event

1×	node limit

Counts

12 → 460

Calls

Call 1

Inputs
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 y (sqrt.f64 (.f64 y x)))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 12 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 2/9 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (sqrt.f64 (.f64 y x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 y x)))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 y x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (sqrt.f64 (.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (sqrt.f64 (.f64 y x))))))
(cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (sqrt.f64 (.f64 y x)))))
(log1p.f64 (expm1.f64 (.f64 y (sqrt.f64 (.f64 y x)))))
(exp.f64 (log.f64 (.f64 y (sqrt.f64 (.f64 y x)))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 (*.f64 y x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (sqrt.f64 (.f64 y x))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 (*.f64 y x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y x)))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y x)))
(.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(.f64 (.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 y) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 12 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 2/9 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
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(.f64 (.f64 (sqrt.f64 (.f64 y x)) (cbrt.f64 (.f64 (.f64 y x) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (.f64 y (sqrt.f64 (*.f64 y x)))))
(.f64 (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x))))) (sqrt.f64 (.f64 y (sqrt.f64 (*.f64 y x)))))
(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (cbrt.f64 (.f64 y x))) (pow.f64 (.f64 y x) #s(literal 1/6 binary64)))
(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))
(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (pow.f64 (.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (.f64 y x) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 x) y)
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))) (pow.f64 (.f64 y x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 y)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/18 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))

simplify320.0ms (6%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-neg`
592×	`associate-r`
547×	`associate-l`
536×	`prod-exp`
371×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	595	21474854727
1	1096	21474854613
2	3887	21474854169
3	7315	21474854169

Stop Event

1×	node limit

Counts

748 → 350

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))

Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 (sqrt.f64 x) (neg.f64 (.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 x) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
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(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2/3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 y (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(.f64 (cbrt.f64 x) (.f64 y (pow.f64 x #s(literal 1/6 binary64))))
(.f64 y (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y x)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 x y)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 y (sqrt.f64 x))
(.f64 (pow.f64 (.f64 y x) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 x y)))) (pow.f64 (.f64 x y) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 y x)))) (pow.f64 (.f64 y x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 (.f64 x y)))) (pow.f64 (.f64 x y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))))
(.f64 (.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 x) (.f64 y (pow.f64 x #s(literal 1/6 binary64))))
(.f64 y (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (.f64 y (sqrt.f64 x)))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 y)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 y (sqrt.f64 x))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(*.f64 y (sqrt.f64 x))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 y (sqrt.f64 x))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 9 binary64)) #s(literal 1/18 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))

eval264.0ms (4.9%)

Compiler: Compiled 9015 to 1920 computations (78.7% saved)

prune107.0ms (2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	659	4	663
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	661	13	674

Accuracy

100.0%

Counts

674 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
▶	99.2%	(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))
✓	99.5%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
▶	99.2%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
✓	87.2%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	99.5%	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
▶	94.9%	(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))
✓	99.5%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	99.5%	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
✓	99.8%	(.f64 (.f64 x y) y)
✓	87.5%	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	87.9%	(.f64 x (.f64 y y))
✓	64.7%	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))

Compiler

Compiled 128 to 85 computations (33.6% saved)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 x)
	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))
✓	cost-diff	0	(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	6656	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
✓	cost-diff	19392	(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 x)
	cost-diff	0	(*.f64 y (sqrt.f64 x))
	cost-diff	0	(sqrt.f64 (*.f64 y (sqrt.f64 x)))
✓	cost-diff	0	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 y x))
	cost-diff	0	(.f64 y (sqrt.f64 (.f64 y x)))
✓	cost-diff	0	(.f64 (.f64 y (sqrt.f64 (*.f64 y x))) (sqrt.f64 y))
✓	cost-diff	0	(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))

Rules

246×	`associate-r`
141×	`associate-l`
72×	`*-commutative`
16×	`unswap-sqr`
9×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	436
1	42	421
2	85	419
3	178	418
4	262	418
5	337	418
6	339	418
7	403	418
8	662	418
9	663	418

Stop Event

1×

saturated

Calls

Call 1

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

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

localize228.0ms (4.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 x)
	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	98.8%	(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
✓	accuracy	90.4%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	accuracy	99.6%	(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))
✓	accuracy	99.4%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
	accuracy	100.0%	(sqrt.f64 x)
	accuracy	99.6%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
	accuracy	90.4%	(sqrt.f64 (*.f64 y (sqrt.f64 x)))
	accuracy	99.7%	(.f64 y (sqrt.f64 (.f64 y x)))
✓	accuracy	99.7%	(.f64 (.f64 y (sqrt.f64 (*.f64 y x))) (sqrt.f64 y))
✓	accuracy	95.1%	(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))
	accuracy	75.8%	(sqrt.f64 (*.f64 y x))

Results

105.0ms

256×

valid

Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sqrt: 29.0ms (39.4% of total)

ival-pow: 28.0ms (38% of total)

ival-mult: 15.0ms (20.4% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series373.0ms (7%)

Counts

9 → 204

Calls

Call 1

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

Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))>

Calls

51 calls:

Time	Variable		Point	Expression
103.0ms	y	@	0	(* (pow x 1/4) y)
96.0ms	x	@	-inf	(pow x 1/4)
91.0ms	x	@	0	(pow x 1/4)
18.0ms	x	@	0	(pow (* y (sqrt x)) 1/4)
17.0ms	x	@	-inf	(pow (* y (sqrt x)) 1/4)

rewrite175.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log-prod`
685×	`log1p-expm1-u`
685×	`expm1-log1p-u`
210×	`expm1-undefine`
210×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	317
1	399	168
2	4511	168

Stop Event

1×	node limit

Counts

9 → 296

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (.f64 y x) y)
(.f64 (sqrt.f64 (.f64 y x)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 y (sqrt.f64 x))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (*.f64 y (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 (.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))) (sqrt.f64 (.f64 y x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))) (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 8 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (cbrt.f64 (.f64 y x))) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (pow.f64 (.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (.f64 y x) y)
(.f64 (sqrt.f64 (.f64 y x)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
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(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(sqrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(fabs.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 y (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))

simplify267.0ms (5%)

Algorithm

1×	egg-herbie

Rules

886×	`exp-prod`
293×	`cube-prod`
279×	`fma-neg`
277×	`associate-r`
254×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	418	12777
1	747	12600
2	2232	12528
3	3474	12420
4	7601	12420

Stop Event

1×	node limit

Counts

500 → 232

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
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(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))))
(sqrt.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(fabs.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 y (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))

Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 y (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 y (sqrt.f64 x)))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
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eval83.0ms (1.6%)

Compiler: Compiled 7346 to 1671 computations (77.3% saved)

prune71.0ms (1.3%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	542	2	544
Fresh	0	0	0
Picked	1	3	4
Done	1	8	9
Total	544	13	557

Accuracy

100.0%

Counts

557 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
✓	99.2%	(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))
✓	99.5%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
✓	87.2%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	99.5%	(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
	95.2%	(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 x (sqrt.f64 y)))
	98.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (sqrt.f64 x))))
✓	94.9%	(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))
✓	99.5%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	99.8%	(.f64 (.f64 x y) y)
✓	87.5%	(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	87.9%	(.f64 x (.f64 y y))
✓	64.7%	(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))

Compiler

Compiled 276 to 144 computations (47.8% saved)

regimes16.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 y y))
(.f64 (.f64 x y) y)
(*.f64 x (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 x (sqrt.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) y)
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 y)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (.f64 y (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(.f64 (.f64 x y) y)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 x y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 y y))

Outputs
(.f64 x (.f64 y y))

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
87.9%	1	`x`
87.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	14	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))

Outputs
(.f64 (.f64 x y) y)
(.f64 y (.f64 x y))
(.f64 x (.f64 y y))

soundness35.0ms (0.7%)

Rules

162×	`fma-define`
47×	`associate-r`
29×	`unsub-neg`
27×	`distribute-lft-in`
25×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	162
1	55	162
2	115	162
3	247	162
4	423	162
5	573	162
6	583	162

Stop Event

1×	fuel
1×	saturated

Compiler

Compiled 24 to 12 computations (50% saved)

preprocess25.0ms (0.5%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 122 to 68 computations (44.3% saved)

Iter	Nodes	Cost
0	28	436
1	42	421
2	85	419
3	178	418
4	262	418
5	337	418
6	339	418
7	403	418
8	662	418
9	663	418

Iter	Nodes	Cost
0	28	436
1	42	421
2	85	419
3	178	418
4	262	418
5	337	418
6	339	418
7	403	418
8	662	418
9	663	418

analyze0.0ms (0%)

sample802.0ms (15%)

preprocess57.0ms (1.1%)

explain69.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize55.0ms (1%)

series8.0ms (0.2%)

rewrite301.0ms (5.6%)

simplify201.0ms (3.8%)

eval9.0ms (0.2%)

prune81.0ms (1.5%)

simplify13.0ms (0.2%)

localize120.0ms (2.2%)

series45.0ms (0.8%)

rewrite216.0ms (4%)

simplify550.0ms (10.3%)

eval123.0ms (2.3%)

prune89.0ms (1.7%)

simplify21.0ms (0.4%)

localize169.0ms (3.2%)

series141.0ms (2.6%)

rewrite268.0ms (5%)

simplify320.0ms (6%)

eval264.0ms (4.9%)

prune107.0ms (2%)

simplify32.0ms (0.6%)

localize228.0ms (4.3%)

series373.0ms (7%)

rewrite175.0ms (3.3%)

simplify267.0ms (5%)

eval83.0ms (1.6%)

prune71.0ms (1.3%)

regimes16.0ms (0.3%)

regimes3.0ms (0.1%)

simplify2.0ms (0%)

soundness35.0ms (0.7%)

preprocess25.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	436
1	42	421
2	85	419
3	178	418
4	262	418
5	337	418
6	339	418
7	403	418
8	662	418
9	663	418