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)

sample1.1s (37.7%)

Results

472.0ms	4569×	0	valid
364.0ms	3687×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 62.0ms (46.3% of total)

ival-add: 61.0ms (45.5% of total)

const: 8.0ms (6% of total)

backward-pass: 4.0ms (3% of total)

Bogosity

preprocess216.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1098×	`fma-neg`
926×	`fma-define`
285×	`distribute-rgt-in`
258×	`unsub-neg`
223×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	257
1	67	217
2	237	217
3	631	217
4	1451	217
5	3042	217
6	3873	217
7	4021	217
8	4021	217
9	4021	217
10	4836	217
11	5124	217
12	5124	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 x) (-.f64 y x))
(*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y)))
(*.f64 (-.f64 y x) (-.f64 y x))
(neg.f64 (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (-.f64 x y))
(neg.f64 (*.f64 (+.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))))
(*.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)

explain53.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

21.0ms	296×	256	valid
17.0ms	216×	256	infinite

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-mult: 6.0ms (58.6% of total)

ival-add: 3.0ms (29.3% of total)

const: 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)

localize112.0ms (3.9%)

Localize:

Found 1 expressions with local error:

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

Results

99.0ms	148×	256	valid
7.0ms	108×	256	infinite

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 (48.4% of total)

ival-mult: 2.0ms (48.4% of total)

const: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite389.0ms (13.4%)

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	19
1	102	19
2	1473	19

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

simplify106.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-define`
583×	`distribute-lft-in`
563×	`distribute-rgt-in`
547×	`fma-neg`
291×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	4294970935
1	637	4294970847
2	1763	4294970739
3	6635	4294970607

Stop Event

1×	node limit

Counts

109 → 121

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

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

eval88.0ms (3%)

Compiler: Compiled 1588 to 716 computations (54.9% saved)

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	3	122

Accuracy

100.0%

Counts

122 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
▶	98.0%	(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 35 to 19 computations (45.7% saved)

localize123.0ms (4.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x y))
✓	100.0%	(*.f64 y (+.f64 x y))
✓	95.3%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
✓	98.4%	(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))

Results

35.0ms	148×	256	valid
21.0ms	108×	256	infinite

Compiler

Compiled 61 to 26 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 17.0ms (50.1% of total)

ival-add: 9.0ms (26.5% of total)

ival-pow: 7.0ms (20.6% of total)

const: 1.0ms (2.9% of total)

series12.0ms (0.4%)

Counts

4 → 88

Calls

Call 1

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* y (+ x y)) (* x (+ x y)))
1.0ms	y	@	inf	(+ (* y (+ x y)) (* x (+ x y)))
0.0ms	x	@	inf	(+ (* x (+ x (* 2 y))) (pow y 2))
0.0ms	x	@	-inf	(+ (* x (+ x (* 2 y))) (pow y 2))
0.0ms	x	@	0	(+ (* x (+ x (* 2 y))) (pow y 2))

rewrite154.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`log1p-expm1-u`
959×	`expm1-log1p-u`
522×	`fma-neg`
127×	`add-cube-cbrt`
125×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	114
1	281	98
2	4417	98

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

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

simplify188.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

528×	`cancel-sign-sub-inv`
398×	`fma-neg`
394×	`distribute-lft-neg-in`
385×	`distribute-rgt-neg-in`
308×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	10759
1	1108	10395
2	4056	8860

Stop Event

1×	node limit

Counts

263 → 224

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

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

eval164.0ms (5.6%)

Compiler: Compiled 3754 to 1588 computations (57.7% saved)

prune99.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	224	3	227

Accuracy

100.0%

Counts

227 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
✓	98.0%	(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 66 to 33 computations (50% saved)

regimes6.0ms (0.2%)

Accuracy

Total -3.8b remaining (-24000%)

Threshold costs -3.8b (-24000%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y
1.0ms	(*.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)

simplify54.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	10	31

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 9 to 4 computations (55.6% saved)

preprocess29.0ms (1%)

Remove: (sort x y)
Compiler: Compiled 102 to 50 computations (51% saved)

Examples.Basics.BasicTests:f3 from sbv-4.4

analyze0.0ms (0%)

sample1.1s (37.7%)

preprocess216.0ms (7.4%)

explain53.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize112.0ms (3.9%)

series3.0ms (0.1%)

rewrite389.0ms (13.4%)

simplify106.0ms (3.6%)

eval88.0ms (3%)

prune17.0ms (0.6%)

localize123.0ms (4.2%)

series12.0ms (0.4%)

rewrite154.0ms (5.3%)

simplify188.0ms (6.5%)

eval164.0ms (5.6%)

prune99.0ms (3.4%)

regimes6.0ms (0.2%)

simplify54.0ms (1.8%)

soundness0.0ms (0%)

preprocess29.0ms (1%)

end0.0ms (0%)

Profiling