Metrics for Examples.Basics.BasicTests:f3 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 5 computations (50% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample601.0ms (18.7%)

Results

419.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-add: 154.0ms (65% of total)

ival-mult: 73.0ms (30.8% of total)

const: 7.0ms (3% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess224.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1098×	`fmm-def`
932×	`fma-define`
285×	`distribute-rgt-in`
223×	`distribute-lft-in`
210×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	257
1	67	217
2	237	217
3	631	217
4	1450	217
5	3051	217
6	3867	217
7	4013	217
8	4013	217
9	4013	217
10	4828	217
11	5116	217
12	5116	217

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain50.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 8.0ms (51.2% of total)

ival-mult: 7.0ms (44.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize31.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

70×	`fma-define`
25×	`associate-+r+`
17×	`associate-+l+`
10×	`distribute-rgt-in`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
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

Stop Event

1×

saturated

Calls

Call 1

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

Results

14.0ms

256×

valid

Compiler

Compiled 15 to 5 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (52.9% of total)

ival-mult: 2.0ms (52.9% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

2 → 42

Calls

Call 1

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

Outputs
#<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))))>

Calls

12 calls:

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

rewrite371.0ms (11.6%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
418×	`unpow-prod-down`
405×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	102	32
2	1473	32

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

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

simplify149.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

505×	`div-sub`
351×	`associate-/l*`
318×	`exp-prod`
265×	`associate-/r*`
205×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	5395
1	852	5259
2	2561	5115
3	6599	5095

Stop Event

1×	node limit

Counts

177 → 212

Calls

Call 1

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

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

eval65.0ms (2%)

Compiler: Compiled 4248 to 713 computations (83.2% saved)

prune44.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	302	3	305
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	302	4	306

Accuracy

100.0%

Counts

306 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	58.3%	(*.f64 (+.f64 x y) y)
▶	58.0%	(*.f64 (+.f64 x y) x)

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize159.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 y (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	-6272	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) y)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) x)
✓	accuracy	100.0%	(+.f64 y (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	97.2%	(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) y)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) x)

Rules

41×	`fma-define`
10×	`*-commutative`
8×	`+-commutative`
6×	`distribute-rgt-in`
6×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	201
1	31	189
2	62	189
3	100	189
4	114	189
5	115	189

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

134.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

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

ival-mult: 7.0ms (48% of total)

ival-add: 4.0ms (27.4% of total)

ival-pow: 3.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

series171.0ms (5.3%)

Counts

7 → 109

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
159.0ms	x	@	-inf	(* (+ x y) x)
1.0ms	y	@	0	(+ y (* 2 x))
1.0ms	y	@	0	(* (+ x y) y)
0.0ms	x	@	inf	(* y (+ y (* 2 x)))
0.0ms	y	@	-inf	(+ (* y (+ y (* 2 x))) (pow x 2))

rewrite234.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log1p-expm1-u`
803×	`expm1-log1p-u`
796×	`fma-define`
351×	`fmm-def`
210×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	150
1	243	138
2	3631	138

Stop Event

1×	node limit

Counts

7 → 263

Calls

Call 1

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

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

simplify231.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

587×	`distribute-lft-in`
554×	`distribute-rgt-in`
441×	`cancel-sign-sub-inv`
347×	`distribute-lft-neg-in`
338×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	11988
1	1272	11326
2	3584	11300

Stop Event

1×	node limit

Counts

372 → 336

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

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

eval73.0ms (2.3%)

Compiler: Compiled 7089 to 1302 computations (81.6% saved)

prune74.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	521	5	526

Accuracy

100.0%

Counts

526 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (*.f64 x x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	58.3%	(*.f64 (+.f64 x y) y)
▶	57.6%	(*.f64 y y)
▶	58.5%	(*.f64 x x)

Compiler

Compiled 39 to 22 computations (43.6% saved)

localize47.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(+.f64 y (*.f64 #s(literal 2 binary64) x))
	cost-diff	-6272	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
	accuracy	100.0%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	97.2%	(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)

Rules

33×	`fma-define`
10×	`*-commutative`
7×	`+-commutative`
3×	`associate-+r+`
3×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	155
1	24	143
2	47	143
3	79	143
4	93	143
5	94	143

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

26.0ms

256×

valid

Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions

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

ival-mult: 8.0ms (72.6% of total)

ival-add: 3.0ms (27.2% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

Outputs
#<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 (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 (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))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* y y)
0.0ms	x	@	inf	(+ (* y (+ y (* 2 x))) (* x x))
0.0ms	y	@	0	(* y y)
0.0ms	x	@	-inf	(+ (* y (+ y (* 2 x))) (* x x))
0.0ms	y	@	-inf	(+ (* y (+ y (* 2 x))) (* x x))

rewrite197.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`log1p-expm1-u`
952×	`expm1-log1p-u`
624×	`fma-define`
461×	`log-prod`
279×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	190	55
2	2741	55

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

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

simplify122.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-define`
515×	`distribute-lft-in`
483×	`distribute-rgt-in`
466×	`associate-r`
463×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	5044
1	605	4964
2	1779	4878
3	7526	4878

Stop Event

1×	node limit

Counts

150 → 136

Calls

Call 1

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

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

eval193.0ms (6%)

Compiler: Compiled 4442 to 833 computations (81.2% saved)

prune73.0ms (2.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	290	5	295

Accuracy

100.0%

Counts

295 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (*.f64 x x))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	58.3%	(*.f64 (+.f64 x y) y)
✓	57.6%	(*.f64 y y)
✓	58.5%	(*.f64 x x)

Compiler

Compiled 86 to 37 computations (57% saved)

regimes12.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
87.9%	2	`x`
87.9%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
58.5%	1	`y`
58.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1.104744372406942e-94	-3.35257989342735e-98

Results

5.0ms

128×

valid

Compiler

Compiled 126 to 80 computations (36.5% saved)

Precisions

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

ival-add: 1.0ms (52.7% of total)

ival-mult: 1.0ms (52.7% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1.104744372406942e-94	-3.35257989342735e-98

Results

5.0ms

128×

valid

Compiler

Compiled 110 to 72 computations (34.5% saved)

Precisions

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

ival-add: 1.0ms (54.4% of total)

ival-mult: 1.0ms (54.4% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	129
1	21	129

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x x) (.f64 (+.f64 x y) y))
(if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x x) (.f64 (+.f64 x y) y))
(if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x x) (.f64 y (+.f64 x y)))
(if (<=.f64 x #s(literal -8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 34 to 11 computations (67.6% saved)

preprocess38.0ms (1.2%)

Remove: (sort x y)
Compiler: Compiled 170 to 72 computations (57.6% saved)

Examples.Basics.BasicTests:f3 from sbv-4.4

analyze0.0ms (0%)

sample601.0ms (18.7%)

preprocess224.0ms (7%)

explain50.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (1%)

series6.0ms (0.2%)

rewrite371.0ms (11.6%)

simplify149.0ms (4.6%)

eval65.0ms (2%)

prune44.0ms (1.4%)

localize159.0ms (5%)

series171.0ms (5.3%)

rewrite234.0ms (7.3%)

simplify231.0ms (7.2%)

eval73.0ms (2.3%)

prune74.0ms (2.3%)

localize47.0ms (1.5%)

series2.0ms (0.1%)

rewrite197.0ms (6.1%)

simplify122.0ms (3.8%)

eval193.0ms (6%)

prune73.0ms (2.3%)

regimes12.0ms (0.4%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch12.0ms (0.4%)

simplify3.0ms (0.1%)

soundness1.0ms (0%)

preprocess38.0ms (1.2%)

end0.0ms (0%)

Profiling