Metrics for Examples.Basics.BasicTests:f2 from sbv-4.4

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-sub: 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)

sample779.0ms (12%)

Results

527.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 167.0ms (75.5% of total)

ival-sub: 43.0ms (19.4% of total)

const: 8.0ms (3.6% of total)

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

Bogosity

preprocess229.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-define`
612×	`sub-neg`
575×	`fma-neg`
564×	`distribute-lft-in`
514×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	229
1	66	217
2	174	217
3	440	217
4	1065	217
5	2042	217
6	3011	217
7	3853	217
8	5641	217
9	6242	217
10	6355	217
11	6469	217
12	6549	217
13	6549	217
14	7930	217

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(neg.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)))
(neg.f64 (-.f64 (.f64 x x) (.f64 y y)))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(*.f64 (-.f64 y x) (+.f64 x y))
(neg.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (-.f64 (.f64 x x) (.f64 y y)))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(*.f64 (-.f64 y x) (+.f64 x y))
(-.f64 (.f64 y y) (.f64 x x))
(neg.f64 (-.f64 (.f64 x x) (.f64 y y)))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(*.f64 (-.f64 y x) (+.f64 x y))

Symmetry

(abs x)

(abs y)

explain52.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(-.f64 (.f64 x x) (.f64 y y))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`

Results

28.0ms

512×

valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

ival-mult: 8.0ms (69.6% of total)

ival-sub: 3.0ms (26.1% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(fma.f64 x x (*.f64 y (neg.f64 y)))
▶	94.1%	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize362.0ms (5.6%)

Algorithm

2×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 y (neg.f64 y))
✓	cost-diff	6336	(fma.f64 x x (*.f64 y (neg.f64 y)))
✓	cost-diff	-6336	(-.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 y (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	96.1%	(fma.f64 x x (*.f64 y (neg.f64 y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	94.9%	(-.f64 (.f64 x x) (.f64 y y))

Rules

1810×	`fma-define`
945×	`associate--l+`
733×	`associate--l-`
697×	`fma-define`
693×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	65
1	21	65
2	33	65
3	62	65
4	139	65
5	389	65
6	846	65
7	1707	65
8	3841	65
9	5504	65
10	6364	65
11	6733	65
12	6963	65
13	7077	65
14	7077	65
0	12	64
1	21	64
2	28	64
3	46	64
4	73	64
5	125	64
6	321	64
7	851	64
8	1743	64
9	2897	64
10	3653	64
11	4225	64
12	4350	64
13	4396	64
14	5734	64

Stop Event

1×	node limit
1×	node limit

Calls

Call 1

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

Outputs
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
x
(*.f64 y (neg.f64 y))
y
(neg.f64 y)

Call 2

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

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

Results

30.0ms

256×

valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (51% of total)

ival-fma: 3.0ms (25.5% of total)

ival-sub: 1.0ms (8.5% of total)

ival-neg: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite561.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`prod-diff`
531×	`log1p-expm1-u`
531×	`expm1-log1p-u`
504×	`unpow-prod-down`
302×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	190	72
2	2277	72

Stop Event

1×	node limit

Counts

6 → 501

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x (*.f64 y (neg.f64 y)))
(neg.f64 y)
(*.f64 y (neg.f64 y))

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

simplify309.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg`
318×	`distribute-lft-neg-in`
298×	`distribute-rgt-neg-in`
298×	`unswap-sqr`
246×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	711	4294986995
1	1485	4294984575
2	4275	4294983370

Stop Event

1×	node limit

Counts

597 → 423

Calls

Call 1

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

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

eval101.0ms (1.6%)

Compiler: Compiled 7318 to 3891 computations (46.8% saved)

prune65.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	418	5	423
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	419	6	425

Accuracy

100.0%

Counts

425 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(fma.f64 x x (.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))))
▶	95.9%	(fma.f64 x x (.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
▶	93.3%	(-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)))
✓	94.1%	(-.f64 (.f64 x x) (.f64 y y))
▶	55.2%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	52.1%	(neg.f64 (pow.f64 y #s(literal 2 binary64)))

Compiler

Compiled 115 to 69 computations (40% saved)

localize1.2s (17.8%)

Algorithm

5×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
✓	cost-diff	19392	(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
✓	cost-diff	19392	(.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y))))
✓	cost-diff	25728	(fma.f64 x x (.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))))
✓	cost-diff	0	(cbrt.f64 y)
✓	cost-diff	0	(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)))
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (+.f64 x y))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	12928	(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
✓	cost-diff	12928	(.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
✓	cost-diff	19264	(fma.f64 x x (.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
✓	accuracy	99.6%	(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
✓	accuracy	99.1%	(cbrt.f64 y)
✓	accuracy	96.1%	(fma.f64 x x (.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.1%	(cbrt.f64 y)
✓	accuracy	99.0%	(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
✓	accuracy	94.9%	(-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)))
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 y))
✓	accuracy	99.1%	(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
✓	accuracy	96.1%	(fma.f64 x x (.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))

Rules

918×	`associate-+r-`
885×	`fma-define`
759×	`distribute-lft-out`
695×	`sub-neg`
680×	`distribute-lft-out--`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	135
1	26	84
2	48	84
3	90	84
4	127	84
5	181	84
6	261	84
7	506	84
8	1247	84
9	2997	84
10	3730	84
11	4462	84
12	4984	84
13	5425	84
14	5671	84
15	5911	84
16	5983	84
17	6511	84
18	6682	84
19	6850	84
20	7018	84
21	7102	84
22	7186	84
23	7546	84
24	7630	84
25	7630	84
0	9	52
1	16	52
2	34	52
3	72	52
4	115	52
5	145	52
6	165	52
7	182	52
8	184	52
0	9	29
1	14	29
2	22	29
3	27	29
4	35	29
5	45	29
6	58	29
7	61	29
8	67	29
9	76	29
0	13	76
1	17	76
2	22	76
3	29	76
4	42	76
5	62	76
6	113	76
7	177	76
8	246	76
9	295	76
10	325	76
11	327	76
0	16	168
1	29	99
2	67	99
3	161	99
4	227	99
5	306	99
6	412	99
7	716	99
8	1528	99
9	2853	99
10	3588	99
11	4774	99
12	5487	99
13	5823	99
14	6002	99
15	6112	99
16	6130	99
17	7597	99
18	7849	99

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))))
x
(.f64 y (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y))))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(cbrt.f64 y)
#s(literal 2 binary64)
(neg.f64 (cbrt.f64 y))

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

Call 2

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

Outputs
(-.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) #s(literal 6 binary64)))
(*.f64 x x)
x
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(cbrt.f64 y)
y
#s(literal 6 binary64)

Call 3

Inputs
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

Outputs
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

Call 4

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

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

Call 5

Inputs
(fma.f64 x x (.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
x
(.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(neg.f64 (sqrt.f64 y))

Outputs
(fma.f64 x x (.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))
(fma.f64 x x (.f64 y (neg.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y)))))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 (+.f64 x y) (-.f64 x y))
x
(.f64 y (.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(.f64 y (neg.f64 (.f64 (sqrt.f64 y) (sqrt.f64 y))))
(*.f64 y (neg.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(neg.f64 y)
(sqrt.f64 y)
(neg.f64 (sqrt.f64 y))

Results

104.0ms

256×

valid

Compiler

Compiled 119 to 40 computations (66.4% saved)

Precisions

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

ival-pow: 27.0ms (37.9% of total)

ival-fma: 17.0ms (23.9% of total)

ival-mult: 15.0ms (21.1% of total)

ival-neg: 4.0ms (5.6% of total)

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

const: 2.0ms (2.8% of total)

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

ival-add: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

series36.0ms (0.6%)

Counts

16 → 218

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite182.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
173×	`associate-r`
160×	`add-exp-log`
158×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	269
1	454	185
2	5447	185

Stop Event

1×	node limit

Counts

16 → 559

Calls

Call 1

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

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

simplify368.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-neg`
542×	`associate-l`
534×	`associate-r`
300×	`times-frac`
293×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	556	21505
1	1189	20059
2	5898	19051

Stop Event

1×	node limit

Counts

777 → 374

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #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 2 binary64))) (pow.f64 x #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 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #s(literal 2 binary64)) (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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #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 -1 binary64) (/.f64 (pow.f64 y #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 (neg.f64 (pow.f64 y #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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #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 2 binary64))) (pow.f64 x #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 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 y)
(*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 y)
(*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 y)
(*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 y #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x 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 x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 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 x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
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(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x x (.f64 y (-.f64 y x)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
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(expm1.f64 (log1p.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/6 binary64)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/6 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 y) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(neg.f64 y)
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(fabs.f64 y)
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 y) #s(literal 18 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)))
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(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
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(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
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(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
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(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 y) #s(literal 18 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)))
(neg.f64 (pow.f64 y #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 18 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))

eval177.0ms (2.7%)

Compiler: Compiled 7505 to 3742 computations (50.1% saved)

prune357.0ms (5.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	546	3	549
Fresh	0	0	0
Picked	5	0	5
Done	1	0	1
Total	552	3	555

Accuracy

100.0%

Counts

555 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	55.5%	(*.f64 (+.f64 x y) x)
▶	12.5%	(*.f64 y y)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize216.0ms (3.3%)

Algorithm

3×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) x)
	cost-diff	0	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) x)
	accuracy	100.0%	(*.f64 y y)

Rules

2337×	`fma-neg`
1490×	`associate-+r+`
900×	`distribute-lft-in`
842×	`distribute-rgt-in`
587×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	9	43
1	11	43
2	18	43
3	23	43
0	10	65
1	21	65
2	49	65
3	111	65
4	240	65
5	559	65
6	1188	65
7	2337	65
8	2959	65
9	3216	65
10	3273	65
11	3311	65
12	3313	65
13	3313	65
14	3315	65

Stop Event

1×	node limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
(*.f64 y y)
y

Outputs
(*.f64 y y)
y

Results

25.0ms

256×

valid

Compiler

Compiled 32 to 8 computations (75% saved)

Precisions

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

ival-mult: 7.0ms (69.1% of total)

ival-sub: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

3 → 69

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite140.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
779×	`prod-diff`
426×	`fma-define`
388×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	147	60
2	2246	60

Stop Event

1×	node limit

Counts

3 → 325

Calls

Call 1

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

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

simplify199.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

366×	`div-sub`
349×	`fma-neg`
344×	`associate-r`
306×	`associate-l`
286×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	730	15138
1	1800	11326
2	5941	11280

Stop Event

1×	node limit

Counts

394 → 400

Calls

Call 1

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

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

eval103.0ms (1.6%)

Compiler: Compiled 9119 to 3834 computations (58% saved)

prune89.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	563	2	565
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	565	3	568

Accuracy

100.0%

Counts

568 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	59.5%	(*.f64 (-.f64 x y) y)
▶	56.1%	(*.f64 x x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize50.0ms (0.8%)

Algorithm

2×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 (-.f64 x y) y)
	cost-diff	0	(*.f64 x x)
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) y)
	accuracy	100.0%	(*.f64 x x)

Rules

161×	`fma-define`
88×	`fma-neg`
35×	`distribute-lft-in`
32×	`distribute-rgt-in`
23×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	9	43
1	13	43
2	24	43
3	42	43
4	62	43
5	95	43
6	163	43
7	292	43
8	542	43
9	598	43
10	632	43

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(*.f64 x x)
x

Outputs
(*.f64 x x)
x

Results

18.0ms

256×

valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (69.5% of total)

ival-sub: 1.0ms (17.4% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log1p-expm1-u`
496×	`expm1-log1p-u`
431×	`unpow-prod-down`
404×	`pow1`
359×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	97	22
2	1315	22

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

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

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

610×	`unsub-neg`
372×	`fma-neg`
354×	`exp-prod`
299×	`*-commutative`
269×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1886
1	268	1886
2	637	1886
3	2478	1886
4	6214	1886

Stop Event

1×	node limit

Counts

69 → 65

Calls

Call 1

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

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

eval41.0ms (0.6%)

Compiler: Compiled 2670 to 1216 computations (54.5% saved)

prune40.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	217	3	220

Accuracy

100.0%

Counts

220 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
	52.1%	(*.f64 (neg.f64 y) y)
✓	56.1%	(*.f64 x x)

Compiler

Compiled 106 to 45 computations (57.5% saved)

regimes18.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
4.0ms	y
4.0ms	(*.f64 x x)
3.0ms	(*.f64 y y)
3.0ms	(-.f64 (.f64 x x) (.f64 y y))

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

regimes95.0ms (1.5%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

4 calls:

84.0ms	y
5.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
83.7%	4	`x`
88.5%	4	`y`
83.7%	4	`(*.f64 x x)`
88.5%	4	`(*.f64 y y)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes14.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
4.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
83.7%	4	`x`
83.7%	4	`(*.f64 x x)`
81.5%	4	`y`
81.5%	4	`(*.f64 y y)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -27.9b remaining (-99.2%)

Threshold costs -27.9b (-99.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x x)

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
56.1%	1	`y`
56.1%	1	`(*.f64 y y)`
56.1%	1	`x`
56.1%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0778390412692674e-61	1.8603869920743195e-56
0.0ms	1.4607881691753836e-133	5.868063643444869e-131
0.0ms	1.055819540064315e-185	2.7767665081171217e-185

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.695192187552205e+166	8.926536635319521e+170
0.0ms	1.1852057458210076e+61	1.965522039255699e+61
0.0ms	5.120780945060652e-72	6.619056960164376e-72

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
4×	`not-or`
4×	`+-commutative`
4×	`if-if-or-not`
3×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	289
1	52	279
2	60	279
3	66	275
4	68	275
5	69	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (.f64 y y) #s(literal 3061802069160839/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (.f64 x x) (if (<=.f64 (.f64 y y) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 (neg.f64 y) y) (if (<=.f64 (.f64 y y) #s(literal 2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 x x) (*.f64 (-.f64 x y) y))))
(if (<=.f64 (.f64 x x) #s(literal 93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (.f64 (neg.f64 y) y) (if (<=.f64 (.f64 x x) #s(literal 14999999999999999954430875809090223533597659889948719287631872 binary64)) (.f64 x x) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) (.f64 (neg.f64 y) y) (*.f64 x x))))
(*.f64 x x)

Outputs
(*.f64 (-.f64 x y) (+.f64 x y))
(if (<=.f64 (.f64 y y) #s(literal 3061802069160839/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (.f64 x x) (if (<=.f64 (.f64 y y) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 (neg.f64 y) y) (if (<=.f64 (.f64 y y) #s(literal 2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 x x) (*.f64 (-.f64 x y) y))))
(if (<=.f64 (.f64 y y) #s(literal 3061802069160839/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (.f64 x x) (if (<=.f64 (.f64 y y) #s(literal 2557336412418861/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (.f64 y (neg.f64 y)) (if (<=.f64 (.f64 y y) #s(literal 2894802230932905/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 x x) (*.f64 y (-.f64 x y)))))
(if (<=.f64 (.f64 x x) #s(literal 93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (.f64 (neg.f64 y) y) (if (<=.f64 (.f64 x x) #s(literal 14999999999999999954430875809090223533597659889948719287631872 binary64)) (.f64 x x) (if (<=.f64 (.f64 x x) #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) (.f64 (neg.f64 y) y) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (.f64 y (neg.f64 y)) (if (or (<=.f64 (.f64 x x) #s(literal 14999999999999999954430875809090223533597659889948719287631872 binary64)) (not (<=.f64 (.f64 x x) #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)))) (.f64 x x) (.f64 y (neg.f64 y))))
(if (or (<=.f64 (.f64 x x) #s(literal 93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (not (or (<=.f64 (.f64 x x) #s(literal 14999999999999999954430875809090223533597659889948719287631872 binary64)) (not (<=.f64 (.f64 x x) #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)))))) (.f64 y (neg.f64 y)) (*.f64 x x))
(if (or (<=.f64 (.f64 x x) #s(literal 93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (and (not (<=.f64 (.f64 x x) #s(literal 14999999999999999954430875809090223533597659889948719287631872 binary64))) (<=.f64 (.f64 x x) #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)))) (.f64 y (neg.f64 y)) (*.f64 x x))
(*.f64 x x)

soundness524.0ms (8.1%)

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
605×	`prod-diff`
531×	`log1p-expm1-u`
531×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	269
1	454	185
2	5447	185
0	15	88
1	190	72
2	2277	72
0	730	15138
1	1800	11326
2	5941	11280

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 321 to 108 computations (66.4% saved)

preprocess30.0ms (0.5%)

Remove

(abs y)

(abs x)

Compiler

Compiled 232 to 108 computations (53.4% saved)

Iter	Nodes	Cost
0	6	17
0	9	43
1	13	43
2	24	43
3	42	43
4	62	43
5	95	43
6	163	43
7	292	43
8	542	43
9	598	43
10	632	43

Iter	Nodes	Cost
0	6	17
0	9	43
1	13	43
2	24	43
3	42	43
4	62	43
5	95	43
6	163	43
7	292	43
8	542	43
9	598	43
10	632	43

analyze0.0ms (0%)

sample779.0ms (12%)

preprocess229.0ms (3.5%)

explain52.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize362.0ms (5.6%)

series9.0ms (0.1%)

rewrite561.0ms (8.6%)

simplify309.0ms (4.7%)

eval101.0ms (1.6%)

prune65.0ms (1%)

localize1.2s (17.8%)

series36.0ms (0.6%)

rewrite182.0ms (2.8%)

simplify368.0ms (5.7%)

eval177.0ms (2.7%)

prune357.0ms (5.5%)

localize216.0ms (3.3%)

series7.0ms (0.1%)

rewrite140.0ms (2.1%)

simplify199.0ms (3.1%)

eval103.0ms (1.6%)

prune89.0ms (1.4%)

localize50.0ms (0.8%)

series3.0ms (0%)

rewrite76.0ms (1.2%)

simplify100.0ms (1.5%)

eval41.0ms (0.6%)

prune40.0ms (0.6%)

regimes18.0ms (0.3%)

regimes95.0ms (1.5%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness524.0ms (8.1%)

preprocess30.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	17
0	9	43
1	13	43
2	24	43
3	42	43
4	62	43
5	95	43
6	163	43
7	292	43
8	542	43
9	598	43
10	632	43