Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

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 10 to 7 computations (30% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (19.8%)

Results

810.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 610.0ms

ival-mult: 548.0ms (89.8% of total)

ival-add: 49.0ms (8% of total)

const: 11.0ms (1.8% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

250×	`fma-define`
95×	`fma-neg`
78×	`associate-r`
62×	`distribute-lft-in`
56×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	204
1	74	176
2	217	176
3	547	176
4	826	176
5	1066	176
6	1148	176
7	1154	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x x)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 y (fma.f64 x x #s(literal 1 binary64)))

Symmetry

(abs y)

(negabs x)

explain540.0ms (9.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`x`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`(*.f64 y y)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

33.0ms

512×

valid

Compiler

Compiled 51 to 26 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (54.4% of total)

ival-add: 6.0ms (40.8% of total)

const: 1.0ms (6.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize31.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Results

23.0ms

256×

valid

Compiler

Compiled 21 to 10 computations (52.4% saved)

Precisions

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

ival-mult: 4.0ms (55.1% of total)

ival-add: 3.0ms (41.3% of total)

const: 1.0ms (13.8% of total)

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

series5.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))>

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* x (+ 1 (* y y)))
1.0ms	x	@	0	(* x (+ 1 (* y y)))
1.0ms	y	@	inf	(* x (+ 1 (* y y)))
1.0ms	x	@	inf	(* x (+ 1 (* y y)))
0.0ms	x	@	-inf	(* x (+ 1 (* y y)))

rewrite195.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
478×	`unpow-prod-down`
446×	`pow1`
282×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	127	24
2	1577	24

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

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

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

508×	`associate-/l*`
446×	`fma-neg`
422×	`cancel-sign-sub-inv`
359×	`distribute-lft-in`
339×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2296
1	337	2293
2	673	2279
3	2552	2256
4	7601	2230

Stop Event

1×	node limit

Counts

82 → 80

Calls

Call 1

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

Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 x (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 6 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 6 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 6 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (pow.f64 y #s(literal 6 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 y (*.f64 y x) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) x)
(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)) x)

eval15.0ms (0.3%)

Compiler: Compiled 957 to 606 computations (36.7% saved)

prune13.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Accuracy

100.0%

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
▶	69.7%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
✓	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
▶	55.5%	x

Compiler

Compiled 45 to 32 computations (28.9% saved)

localize160.0ms (2.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
✓	94.9%	(/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
✓	78.0%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))

Results

123.0ms

256×

valid

Compiler

Compiled 79 to 48 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 32.0ms (45.4% of total)

ival-hypot: 12.0ms (17% of total)

ival-sub: 9.0ms (12.8% of total)

ival-mult: 7.0ms (9.9% of total)

ival-div: 4.0ms (5.7% of total)

ival-fma: 3.0ms (4.3% of total)

const: 3.0ms (4.3% of total)

ival-sqrt: 2.0ms (2.8% of total)

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

series124.0ms (2.2%)

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 2 binary64)))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>

Calls

30 calls:

Time	Variable		Point	Expression
52.0ms	y	@	0	(/ x (- 1 (pow y 2)))
2.0ms	y	@	0	(* (sqrt (+ (* 1 1) (* y y))) (sqrt x))
2.0ms	x	@	0	(* (- 1 (pow y 4)) (/ x (- 1 (pow y 2))))
1.0ms	x	@	-inf	(pow (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)) 2)
1.0ms	x	@	inf	(* (- 1 (pow y 4)) (/ x (- 1 (pow y 2))))

rewrite216.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log1p-expm1-u`
653×	`expm1-log1p-u`
613×	`prod-diff`
140×	`add-exp-log`
140×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	337	146
2	4213	146

Stop Event

1×	node limit

Counts

5 → 144

Calls

Call 1

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

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

simplify140.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

594×	`distribute-lft-in`
569×	`distribute-rgt-in`
322×	`fma-neg`
258×	`associate-r`
246×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	9761
1	1053	9483
2	3677	9339

Stop Event

1×	node limit

Counts

252 → 250

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) x))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 2 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 x) y)
(.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
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(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 (cbrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) 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 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 y x) y x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y x))
(.f64 (fma.f64 (.f64 y x) y x) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 (.f64 y x) y x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y x) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 y x) y x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(/.f64 (+.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 y x) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 y x) y x))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y x) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y x) y x)))
(exp.f64 (log.f64 (fma.f64 (*.f64 y x) y x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 y x) y x)) #s(literal 1 binary64)))

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

eval73.0ms (1.3%)

Compiler: Compiled 4327 to 3041 computations (29.7% saved)

prune35.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	246	4	250
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	248	7	255

Accuracy

100.0%

Counts

255 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	48.3%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	69.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x))
▶	99.4%	(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
▶	16.1%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
✓	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	55.5%	x

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize339.0ms (6.2%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.7%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	99.6%	(*.f64 (sqrt.f64 x) y)
✓	95.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
✓	77.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x))
✓	99.9%	(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	99.5%	(.f64 (sqrt.f64 x) (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
✓	87.5%	(/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64)))
✓	78.0%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))

Results

230.0ms

256×

valid

Compiler

Compiled 131 to 78 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-pow: 53.0ms (46.2% of total)

ival-hypot: 19.0ms (16.6% of total)

ival-mult: 15.0ms (13.1% of total)

ival-sub: 10.0ms (8.7% of total)

ival-div: 9.0ms (7.9% of total)

const: 4.0ms (3.5% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

series63.0ms (1.1%)

Counts

8 → 160

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal 1/16 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))>
#<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 #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)))>

Calls

48 calls:

Time	Variable		Point	Expression
38.0ms	y	@	inf	(* (sqrt x) y)
3.0ms	x	@	0	(/ (- 1 (pow y 2)) x)
1.0ms	y	@	0	(* (- 1 (pow y 4)) (/ (neg x) (pow y 2)))
1.0ms	x	@	0	(* (- 1 (pow y 4)) (/ (neg x) (pow y 2)))
1.0ms	x	@	-inf	(pow (* (sqrt x) y) 2)

rewrite189.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`log1p-expm1-u`
188×	`expm1-log1p-u`
185×	`pow1`
185×	`associate-r`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	270
1	436	189
2	6161	189

Stop Event

1×	node limit

Counts

8 → 291

Calls

Call 1

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

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

simplify443.0ms (8%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-r`
461×	`associate-l`
320×	`*-commutative`
318×	`div-sub`
277×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	656	15841
1	1620	15001
2	5904	14995

Stop Event

1×	node limit

Counts

451 → 398

Calls

Call 1

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

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

eval195.0ms (3.5%)

Compiler: Compiled 7794 to 5538 computations (28.9% saved)

prune336.0ms (6.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	454	4	458
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	457	8	465

Accuracy

100.0%

Counts

465 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	48.3%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	93.9%	(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	21.6%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)))
▶	48.3%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
▶	48.4%	(.f64 (.f64 x y) y)
✓	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	55.5%	x

Compiler

Compiled 72 to 48 computations (33.3% saved)

localize150.0ms (2.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
✓	93.9%	(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	99.8%	(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
✓	78.0%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)))
✓	99.8%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
✓	99.7%	(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
✓	99.6%	(*.f64 y (sqrt.f64 x))
✓	99.8%	(.f64 (.f64 x y) y)

Results

107.0ms

256×

valid

Compiler

Compiled 100 to 49 computations (51% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 20.0ms (29.3% of total)

ival-mult: 14.0ms (20.5% of total)

ival-div: 13.0ms (19% of total)

ival-hypot: 13.0ms (19% of total)

ival-sub: 3.0ms (4.4% of total)

const: 3.0ms (4.4% of total)

ival-sqrt: 2.0ms (2.9% of total)

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

series15.0ms (0.3%)

Counts

8 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite176.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1059×	`log1p-expm1-u`
485×	`expm1-log1p-u`
267×	`prod-diff`
178×	`associate-r`
165×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	198
1	430	176
2	5197	176

Stop Event

1×	node limit

Counts

8 → 209

Calls

Call 1

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

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

simplify192.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-define`
361×	`associate-r`
335×	`associate-l`
312×	`cube-prod`
296×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	10393
1	1022	9924
2	4359	9848

Stop Event

1×	node limit

Counts

389 → 263

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

eval100.0ms (1.8%)

Compiler: Compiled 3364 to 2312 computations (31.3% saved)

prune43.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	261	2	263
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	263	8	271

Accuracy

100.0%

Counts

271 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	48.3%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	93.9%	(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
	21.6%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 x (neg.f64 y)) y))
✓	48.4%	(.f64 (.f64 x y) y)
	39.2%	(.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) y)
✓	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	55.5%	x

Compiler

Compiled 207 to 133 computations (35.7% saved)

regimes20.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 x (neg.f64 y)) y))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64))) y)
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))

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

Calls

5 calls:

5.0ms	y
4.0ms	x
4.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 x y) y)

Calls

5 calls:

3.0ms	y
3.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
94.0%	1	`x`
99.9%	2	`y`
99.9%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	18655607638230.92	1.0661851031130694e+24

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.11046127891095439	12.710875511914121

Results

6.0ms

112×

valid

Compiler

Compiled 98 to 66 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (80.2% of total)

ival-add: 1.0ms (40.1% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	33	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 20000000000000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
x

Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 20000000000000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 (.f64 y y) #s(literal 20000000000000 binary64)) (.f64 x (+.f64 (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 x y)))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 y (.f64 x y)))
x

soundness303.0ms (5.5%)

Rules

1126×	`log1p-expm1-u`
535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
478×	`unpow-prod-down`
446×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	270
1	436	189
2	6161	189
0	11	25
1	127	24
2	1577	24

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 185 to 87 computations (53% saved)

preprocess46.0ms (0.8%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 174 to 84 computations (51.7% saved)

analyze0.0ms (0%)

sample1.1s (19.8%)

preprocess117.0ms (2.1%)

explain540.0ms (9.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.6%)

series5.0ms (0.1%)

rewrite195.0ms (3.5%)

simplify115.0ms (2.1%)

eval15.0ms (0.3%)

prune13.0ms (0.2%)

localize160.0ms (2.9%)

series124.0ms (2.2%)

rewrite216.0ms (3.9%)

simplify140.0ms (2.5%)

eval73.0ms (1.3%)

prune35.0ms (0.6%)

localize339.0ms (6.2%)

series63.0ms (1.1%)

rewrite189.0ms (3.4%)

simplify443.0ms (8%)

eval195.0ms (3.5%)

prune336.0ms (6.1%)

localize150.0ms (2.7%)

series15.0ms (0.3%)

rewrite176.0ms (3.2%)

simplify192.0ms (3.5%)

eval100.0ms (1.8%)

prune43.0ms (0.8%)

regimes20.0ms (0.4%)

regimes12.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.2%)

simplify3.0ms (0%)

soundness303.0ms (5.5%)

preprocess46.0ms (0.8%)

end0.0ms (0%)

Profiling