Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

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 6 computations (40% 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)

sample753.0ms (51.9%)

Results

546.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 109.0ms (51.2% of total)

ival-add: 93.0ms (43.7% of total)

const: 8.0ms (3.8% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess69.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

254×	`fma-neg`
174×	`fma-define`
54×	`unsub-neg`
41×	`sub-neg`
35×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	205
1	62	176
2	172	176
3	469	176
4	782	176
5	1034	176
6	1105	176
7	1115	176

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(-.f64 (-.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(neg.f64 (+.f64 y (fma.f64 x x y)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(neg.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(neg.f64 (-.f64 (-.f64 (*.f64 x x) y) y))
(neg.f64 (fma.f64 x x (*.f64 y #s(literal -2 binary64))))
(-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))

Symmetry

(abs x)

explain59.0ms (4.1%)

FPErrors

Click to see full error table

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

Results

26.0ms

512×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (50% of total)

ival-mult: 4.0ms (40% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize33.0ms (2.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Results

23.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-add: 3.0ms (37.3% of total)

ival-fma: 3.0ms (37.3% of total)

ival-mult: 2.0ms (24.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite212.0ms (14.6%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log1p-expm1-u`
692×	`expm1-log1p-u`
529×	`unpow-prod-down`
445×	`fma-define`
288×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	129	24
2	1896	21

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

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

simplify101.0ms (7%)

Algorithm

1×	egg-herbie

Rules

538×	`distribute-lft-in`
422×	`fma-neg`
342×	`cancel-sign-sub-inv`
336×	`fma-define`
312×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	4082
1	571	4029
2	1327	3821
3	4344	3733

Stop Event

1×	node limit

Counts

126 → 128

Calls

Call 1

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

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

eval28.0ms (1.9%)

Compiler: Compiled 1890 to 1189 computations (37.1% saved)

prune18.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	127	3	130

Accuracy

100.0%

Counts

130 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	47.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize14.0ms (1%)

Results

9.0ms

256×

valid

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (76% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	47.1%	(*.f64 #s(literal 2 binary64) y)

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes33.0ms (2.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

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

Calls

4 calls:

26.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes8.0ms (0.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) y)

Outputs
(*.f64 #s(literal 2 binary64) y)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	17	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(*.f64 #s(literal 2 binary64) y)

Outputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

soundness66.0ms (4.5%)

Rules

254×	`fma-neg`
174×	`fma-define`
54×	`unsub-neg`
41×	`sub-neg`
35×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	205
1	62	176
2	172	176
3	469	176
4	782	176
5	1034	176
6	1105	176
7	1115	176

Stop Event

1×	done
1×	saturated

Compiler

Compiled 61 to 25 computations (59% saved)

preprocess44.0ms (3%)

Remove: (abs x)
Compiler: Compiled 136 to 78 computations (42.6% saved)

Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

analyze0.0ms (0%)

sample753.0ms (51.9%)

preprocess69.0ms (4.8%)

explain59.0ms (4.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize33.0ms (2.3%)

series3.0ms (0.2%)

rewrite212.0ms (14.6%)

simplify101.0ms (7%)

eval28.0ms (1.9%)

prune18.0ms (1.3%)

localize14.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes33.0ms (2.3%)

regimes8.0ms (0.5%)

regimes3.0ms (0.2%)

simplify2.0ms (0.1%)

soundness66.0ms (4.5%)

preprocess44.0ms (3%)

end0.0ms (0%)

Profiling