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

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample865.0ms (20.7%)

Results

656.0ms	6178×	256	valid
172.0ms	2077×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

Operation ival-mult, time spent: 131.0ms, 94.0% of total-time

Operation const, time spent: 9.0ms, 6.0% of total-time

Bogosity

preprocess158.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

324×	`fma-define`
94×	`associate-r`
58×	`unsub-neg`
54×	`distribute-lft-in`
50×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

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

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)

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

Operation ival-mult, time spent: 64.0ms, 100.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

eval26.0ms (0.6%)

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)
▶	86.9%	(.f64 x (.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize37.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 x y) y)
✓	86.9%	(.f64 x (.f64 y y))

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

Operation ival-mult, time spent: 7.0ms, 97.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series6.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* y y))
1.0ms	x	@	0	(* x (* y y))
1.0ms	y	@	inf	(* x (* y y))
0.0ms	y	@	0	(* x (* y y))
0.0ms	x	@	-inf	(* x (* y y))

rewrite182.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`unpow-prod-down`
548×	`log-prod`
544×	`prod-exp`
526×	`cbrt-prod`
416×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	127	38
2	1227	38

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

simplify127.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1438×	`fma-neg`
1140×	`sub-neg`
1088×	`div-sub`
674×	`cancel-sign-sub-inv`
612×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	2146
1	108	2146
2	181	2146
3	262	2146
4	486	2146
5	1107	2146
6	3374	2146
7	5561	2146
8	7104	2146

Stop Event

1×	node limit

Counts

90 → 25

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)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 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) (*.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)))

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)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #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 (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.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 (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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #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 (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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.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)))

eval8.0ms (0.2%)

Compiler: Compiled 247 to 173 computations (30% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	22	5	27

Accuracy

99.9%

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
▶	86.3%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x y) y)
✓	86.9%	(.f64 x (.f64 y y))
▶	66.4%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize234.0ms (5.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.6%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
✓	99.6%	(*.f64 y (sqrt.f64 x))
✓	99.4%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	86.9%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	55.5%	(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	99.6%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))
✓	99.6%	(*.f64 y (sqrt.f64 x))
✓	66.5%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))

Compiler

Compiled 66 to 31 computations (53% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

Operation ival-pow, time spent: 71.0ms, 80.0% of total-time

Operation ival-mult, time spent: 7.0ms, 8.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

series32.0ms (0.8%)

Counts

8 → 152

Calls

Call 1

Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))>
#<alt (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (pow.f64 (*.f64 y (sqrt.f64 x)) #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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 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))))>
#<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 (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 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)))))>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow (* y (sqrt x)) 6)
3.0ms	y	@	inf	(cbrt (* x (pow y 2)))
3.0ms	x	@	-inf	(pow (* y (sqrt x)) 6)
2.0ms	x	@	0	(cbrt (* x (pow y 2)))
2.0ms	x	@	-inf	(cbrt (* x (pow y 2)))

rewrite128.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`log-prod`
710×	`pow-prod-down`
599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
482×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	188
1	235	156
2	2379	156

Stop Event

1×	node limit

Counts

8 → 343

Calls

Call 1

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

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 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.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))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 x y) y)
(.f64 (.f64 x (pow.f64 (cbrt.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 (pow.f64 (.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 12 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 18 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 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 3 binary64)) #s(literal 2/3 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))))))
(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 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 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 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (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 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 18 binary64)) #s(literal 1/18 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))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 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))
(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 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 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 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 5 binary64)) (*.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) y) #s(literal 2 binary64)) x)
(.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 8 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) x) (pow.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 7 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 12 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 18 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 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 (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 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.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))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 x y) y)
(.f64 (.f64 x (pow.f64 (cbrt.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 (pow.f64 (.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 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 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 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 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 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

simplify193.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1868×	`fma-define`
1422×	`exp-prod`
982×	`prod-exp`
690×	`fma-neg`
690×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	377	8589946249
1	668	8589946249
2	1786	8589946105
3	5425	8589945925

Stop Event

1×	node limit

Counts

495 → 200

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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 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))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 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 (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 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 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 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 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
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(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 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 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 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 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 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.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))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 x y) y)
(.f64 (.f64 x (pow.f64 (cbrt.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 (pow.f64 (.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 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 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 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 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 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (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 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 18 binary64)) #s(literal 1/18 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))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 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))
(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 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/6 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 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 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 (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 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 y x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.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 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.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))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 x y) y)
(.f64 (.f64 x (pow.f64 (cbrt.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 (pow.f64 (.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 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 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 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 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 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #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 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 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)
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(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))

eval141.0ms (3.4%)

Compiler: Compiled 2740 to 1693 computations (38.2% saved)

prune39.0ms (0.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	239	9	248

Accuracy

100.0%

Counts

248 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
▶	99.1%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
▶	86.7%	(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	98.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
▶	86.7%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
▶	92.7%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x y) y)
✓	86.9%	(.f64 x (.f64 y y))
✓	66.4%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))

Compiler

Compiled 147 to 103 computations (29.9% saved)

localize234.0ms (5.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.1%	(cbrt.f64 y)
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
✓	99.0%	(cbrt.f64 x)
✓	86.8%	(cbrt.f64 (*.f64 y (sqrt.f64 x)))
✓	94.0%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x))
✓	92.9%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
✓	99.6%	(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
	86.9%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	68.7%	(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	99.8%	(.f64 (.f64 y (sqrt.f64 x)) y)
	99.6%	(*.f64 y (sqrt.f64 x))
✓	92.9%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
	99.6%	(*.f64 y (sqrt.f64 x))
✓	99.2%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
✓	87.5%	(sqrt.f64 (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 150 to 55 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

Operation ival-pow, time spent: 34.0ms, 47.0% of total-time

Operation ival-mult, time spent: 21.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 11.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 8.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

series117.0ms (2.8%)

Counts

12 → 248

Calls

Call 1

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

Outputs
#<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 y))>
#<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 y))>
#<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 y))>
#<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 y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<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 y))>
#<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 y))>
#<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 y))>
#<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 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)))))>
#<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 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) (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 (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 (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) 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 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) 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 #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 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) (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 (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 (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 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 y))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -1 binary64))))>

Calls

66 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	(sqrt (* y (sqrt x)))
22.0ms	x	@	0	(sqrt (* y (sqrt x)))
6.0ms	x	@	inf	(sqrt (* y (sqrt x)))
3.0ms	y	@	inf	(pow (cbrt (* y (sqrt x))) 4)
3.0ms	y	@	inf	(cbrt (* y (sqrt x)))

rewrite162.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`log-prod`
881×	`log1p-expm1-u`
881×	`expm1-log1p-u`
344×	`expm1-undefine`
344×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	252
1	373	224
2	3706	224

Stop Event

1×	node limit

Counts

12 → 352

Calls

Call 1

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

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

simplify267.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-neg`
1498×	`exp-prod`
1416×	`prod-exp`
816×	`associate-r`
766×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	525	15245
1	895	15177
2	2973	15127
3	5667	15123

Stop Event

1×	node limit

Counts

600 → 318

Calls

Call 1

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

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

eval311.0ms (7.5%)

Compiler: Compiled 8686 to 4561 computations (47.5% saved)

prune116.0ms (2.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	575	2	577
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	576	10	586

Accuracy

100.0%

Counts

586 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 4 binary64))
✓	99.4%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
✓	99.1%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
✓	86.7%	(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	92.1%	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) y) (sqrt.f64 x))
✓	86.7%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
✓	92.7%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x y) y)
✓	86.9%	(.f64 x (.f64 y y))
✓	66.4%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))

Compiler

Compiled 96 to 66 computations (31.3% saved)

localize124.0ms (3%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y))
✓	99.2%	(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 4 binary64))
	99.6%	(*.f64 y (sqrt.f64 x))
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
✓	92.9%	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) y) (sqrt.f64 x))
	86.8%	(cbrt.f64 (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 68 to 29 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

Operation ival-pow, time spent: 42.0ms, 64.0% of total-time

Operation ival-mult, time spent: 11.0ms, 17.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series41.0ms (1%)

Counts

4 → 96

Calls

Call 1

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

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(* (pow x 1/4) (sqrt y))
12.0ms	x	@	0	(* (pow x 1/4) (sqrt y))
7.0ms	y	@	0	(* (pow x 1/4) (sqrt y))
1.0ms	y	@	-inf	(* (* (pow (cbrt (* y (sqrt x))) 3) y) (sqrt x))
1.0ms	y	@	-inf	(pow (cbrt (* y (sqrt x))) 3)

rewrite117.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log-prod`
767×	`log1p-expm1-u`
767×	`expm1-log1p-u`
700×	`pow-unpow`
490×	`pow-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	118
1	266	76
2	2789	76

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 6 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 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 18 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 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 12 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))
(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 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 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))))
(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 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #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)))
(+.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))
(*.f64 y (sqrt.f64 x))
(*.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 (cbrt.f64 (.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (sqrt.f64 x)))
(.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 y) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) (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 (*.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (sqrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) y))
(.f64 (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 x (pow.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.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 (.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 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) (sqrt.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 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) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (.f64 y (sqrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(.f64 (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 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))
(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)))
(cbrt.f64 (*.f64 (pow.f64 y #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 y #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 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.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 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 4 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))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 y (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 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 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x))
(.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 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.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 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.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 (.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 (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 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))) 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) (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) (sqrt.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (cbrt.f64 (.f64 y (sqrt.f64 x)))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 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 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.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)))
(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 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 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))))
(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 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #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)))
(+.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))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/6 binary64)) #s(literal 3 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))
(sqrt.f64 (*.f64 y (sqrt.f64 x)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 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 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))

simplify169.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1932×	`exp-prod`
1058×	`fma-define`
876×	`prod-exp`
584×	`fma-neg`
580×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	6120
1	632	6104
2	1470	6080
3	3618	6032
4	7477	6032

Stop Event

1×	node limit

Counts

252 → 172

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

eval63.0ms (1.5%)

Compiler: Compiled 3615 to 1839 computations (49.1% saved)

prune180.0ms (4.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	254	10	264

Accuracy

100.0%

Counts

264 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 4 binary64))
✓	99.4%	(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
✓	99.1%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))
✓	86.7%	(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	92.1%	(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) y) (sqrt.f64 x))
✓	86.7%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
✓	92.7%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x y) y)
✓	86.9%	(.f64 x (.f64 y y))
✓	66.4%	(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))

Compiler

Compiled 197 to 119 computations (39.6% saved)

regimes21.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
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)

regimes5.0ms (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:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
86.9%	1	`x`
86.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	14	44

Stop Event

1×	done
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))

Compiler

Compiled 14 to 8 computations (42.9% saved)

soundness33.0ms (0.8%)

Rules

324×	`fma-define`
94×	`associate-r`
58×	`unsub-neg`
54×	`distribute-lft-in`
50×	`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

Compiler

Compiled 12 to 6 computations (50% saved)

end0.0ms (0%)

preprocess26.0ms (0.6%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 122 to 68 computations (44.3% saved)

analyze0.0ms (0%)

sample865.0ms (20.7%)

preprocess158.0ms (3.8%)

eval26.0ms (0.6%)

prune1.0ms (0%)

localize37.0ms (0.9%)

series6.0ms (0.2%)

rewrite182.0ms (4.4%)

simplify127.0ms (3%)

eval8.0ms (0.2%)

prune5.0ms (0.1%)

localize234.0ms (5.6%)

series32.0ms (0.8%)

rewrite128.0ms (3.1%)

simplify193.0ms (4.6%)

eval141.0ms (3.4%)

prune39.0ms (0.9%)

localize234.0ms (5.6%)

series117.0ms (2.8%)

rewrite162.0ms (3.9%)

simplify267.0ms (6.4%)

eval311.0ms (7.5%)

prune116.0ms (2.8%)

localize124.0ms (3%)

series41.0ms (1%)

rewrite117.0ms (2.8%)

simplify169.0ms (4.1%)

eval63.0ms (1.5%)

prune180.0ms (4.3%)

regimes21.0ms (0.5%)

regimes5.0ms (0.1%)

simplify2.0ms (0.1%)

soundness33.0ms (0.8%)

end0.0ms (0%)

preprocess26.0ms (0.6%)

Profiling