Metrics for Examples.Basics.ProofTests:f4 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 16 to 10 computations (37.5% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample970.0ms (23%)

Results

720.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

ival-mult: 396.0ms (78.8% of total)

ival-add: 92.0ms (18.3% of total)

const: 12.0ms (2.4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess190.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg`
639×	`fma-define`
116×	`unsub-neg`
96×	`distribute-lft-neg-in`
70×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	397
1	97	302
2	304	274
3	877	274
4	1927	274
5	2867	274
6	3063	274
7	3069	274

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain151.0ms (3.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
7	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`x`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x #s(literal 2 binary64))`

Results

46.0ms

512×

valid

Compiler

Compiled 99 to 29 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 16.0ms (72.2% of total)

ival-add: 5.0ms (22.6% of total)

const: 1.0ms (4.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 15 computations (54.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 x x (.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) y)))
▶	94.9%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 27 to 16 computations (40.7% saved)

localize66.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	-6272	(.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) y))
✓	cost-diff	-6272	(fma.f64 x x (.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) y)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) y))
✓	accuracy	97.7%	(fma.f64 x x (.f64 y (+.f64 (.f64 x #s(literal 2 binary64)) y)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	97.8%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
✓	accuracy	96.2%	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Rules

32×	`fma-define`
7×	`*-commutative`
5×	`+-commutative`
3×	`associate-+r+`
3×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	231
1	31	226
2	56	222
3	85	222
4	86	222

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

39.0ms

256×

valid

Compiler

Compiled 70 to 13 computations (81.4% saved)

Precisions

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

ival-mult: 9.0ms (55.3% of total)

ival-add: 4.0ms (24.6% of total)

ival-fma: 3.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.5%)

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite493.0ms (11.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
614×	`log-prod`
430×	`fma-neg`
204×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	197
1	263	192
2	3649	192

Stop Event

1×	node limit

Counts

9 → 301

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x))
(.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))))
(exp.f64 (log.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x x (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (fma.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(.f64 (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (cbrt.f64 (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)) (neg.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (pow.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64))))))
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(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 y (.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify298.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

678×	`cancel-sign-sub-inv`
610×	`fma-neg`
361×	`distribute-lft-neg-in`
327×	`distribute-rgt-neg-in`
271×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	597	16505
1	1319	16168
2	4219	16064

Stop Event

1×	node limit

Counts

481 → 364

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.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 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)) (+.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 2 binary64) (/.f64 y 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 #s(literal 2 binary64) (.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (.f64 #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))))))
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(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(log.f64 (.f64 (exp.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (exp.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (log.f64 (fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (.f64 y (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 y (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) y) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (-.f64 (*.f64 x #s(literal 2 binary64)) y))
(pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (*.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 y (.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) y)
(fma.f64 #s(literal 2 binary64) x y)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

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

eval48.0ms (1.1%)

Compiler: Compiled 6817 to 1311 computations (80.8% saved)

prune52.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	383	3	386
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	384	4	388

Accuracy

100.0%

Counts

388 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.3%	(pow.f64 y #s(literal 2 binary64))
✓	94.9%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
▶	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
▶	55.8%	(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 y y))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize189.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
	cost-diff	-6336	(*.f64 y y)
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓	cost-diff	-6272	(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) y)
	cost-diff	-6336	(*.f64 y y)
✓	cost-diff	-6144	(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 y y))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x y))
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) y)
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x))
✓	accuracy	97.8%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x y))
✓	accuracy	97.0%	(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 y y))

Rules

33×	`fma-define`
7×	`+-commutative`
6×	`*-commutative`
4×	`associate-r`
4×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	199
1	35	197
2	62	193
3	87	193
4	90	193

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

164.0ms

256×

valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (60% of total)

ival-add: 4.0ms (24% of total)

ival-pow: 3.0ms (18% of total)

const: 0.0ms (0% of total)

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

series63.0ms (1.5%)

Counts

8 → 96

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	(+ (* x (+ (* 2 y) x)) (* y y))
0.0ms	x	@	0	(+ (* x (+ (* 2 y) x)) (* y y))
0.0ms	y	@	inf	(+ (* x (+ (* 2 y) x)) (* y y))
0.0ms	x	@	inf	(* x (+ (* 2 y) x))
0.0ms	x	@	-inf	(* x (+ (* 2 y) x))

rewrite169.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u`
801×	`expm1-log1p-u`
653×	`log-prod`
427×	`fma-neg`
210×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	156
1	251	154
2	3724	154

Stop Event

1×	node limit

Counts

8 → 239

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y)))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y))))
(.f64 (hypot.f64 y (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) (hypot.f64 y (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y))) (-.f64 (pow.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 y (fma.f64 #s(literal 2 binary64) x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))))
(log1p.f64 (expm1.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))))
(exp.f64 (log.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x y) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 x y) #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) (cbrt.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (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)) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (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 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))))
(.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) (-.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) (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 (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (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 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(/.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 (.f64 x (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 3 binary64)) (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))))))
(/.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 (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (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))))))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (.f64 (exp.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(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 (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 x (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) y) x))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) x) (-.f64 (.f64 #s(literal 2 binary64) y) x))
(pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 x #s(literal 2 binary64)))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) y))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) y))
(.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)))
(.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 x (.f64 #s(literal 2 binary64) y)))
(pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) y x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) y x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y))

simplify205.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-neg`
355×	`distribute-lft-neg-in`
337×	`distribute-rgt-neg-in`
244×	`fma-define`
229×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	569	11333
1	1250	11075
2	4195	10732

Stop Event

1×	node limit

Counts

335 → 346

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 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 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))))))
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(/.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))))))
(log.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))))))
(log.f64 (.f64 (exp.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (+.f64 (*.f64 #s(literal 2 binary64) x) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(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 (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 x (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) y) x))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) x) (-.f64 (.f64 #s(literal 2 binary64) y) x))
(pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 2 binary64) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (pow.f64 x #s(literal 2 binary64)))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) y))))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) y))
(.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)))
(.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))) (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 x (.f64 #s(literal 2 binary64) y)))
(pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) y x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) y x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) y x)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 2 binary64) 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 #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 #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 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
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(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) y)) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 y #s(literal 2 binary64) x)

eval44.0ms (1%)

Compiler: Compiled 5920 to 1142 computations (80.7% saved)

prune75.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	376	4	380
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	378	6	384

Accuracy

100.0%

Counts

384 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
✓	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
▶	99.7%	(+.f64 (.f64 x x) (.f64 y y))
▶	58.5%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))
▶	15.7%	(.f64 y (.f64 #s(literal 2 binary64) x))
▶	57.3%	(*.f64 y y)

Compiler

Compiled 58 to 36 computations (37.9% saved)

localize83.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

11×	`fma-define`
6×	`*-commutative`
3×	`associate-r`
3×	`associate-l`
2×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	174
1	27	174
2	40	174
3	47	174

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

55.0ms

256×

valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 14.0ms (58.8% of total)

ival-mult: 9.0ms (37.8% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite126.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log1p-expm1-u`
1038×	`expm1-log1p-u`
634×	`fma-define`
287×	`fma-neg`
174×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	212	87
2	2978	87

Stop Event

1×	node limit

Counts

5 → 175

Calls

Call 1

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

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

simplify319.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-define`
753×	`times-frac`
273×	`cancel-sign-sub-inv`
261×	`distribute-rgt-in`
257×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	7641
1	840	7332
2	2228	7186
3	7898	7186

Stop Event

1×	node limit

Counts

271 → 226

Calls

Call 1

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

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

eval34.0ms (0.8%)

Compiler: Compiled 3326 to 653 computations (80.4% saved)

prune45.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	290	6	296

Accuracy

100.0%

Counts

296 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
✓	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
✓	99.7%	(+.f64 (.f64 x x) (.f64 y y))
✓	58.5%	(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))
✓	15.7%	(.f64 y (.f64 #s(literal 2 binary64) x))
✓	57.3%	(*.f64 y y)

Compiler

Compiled 128 to 61 computations (52.3% saved)

regimes12.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
57.3%	1	`x`
59.5%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y y)

Outputs
(*.f64 y y)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
57.3%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch7.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-1.1156224675911105e-296	-6.077498770556067e-297

Results

4.0ms

64×

valid

Compiler

Compiled 76 to 53 computations (30.3% saved)

Precisions

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

ival-mult: 2.0ms (81.1% of total)

ival-add: 1.0ms (40.6% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	26	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))
(if (<=.f64 y #s(literal -1141319417461387/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(*.f64 y y)

Outputs
(+.f64 (.f64 x x) (.f64 y y))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) y))
(.f64 y (+.f64 y (.f64 x #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -1141319417461387/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 y #s(literal -1141319417461387/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (.f64 y (.f64 x #s(literal 2 binary64))) (*.f64 y y))
(*.f64 y y)

soundness484.0ms (11.5%)

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
801×	`log1p-expm1-u`
801×	`expm1-log1p-u`
653×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	197
1	263	192
2	3649	192
0	569	11333
1	1250	11075
2	4195	10732
0	17	156
1	251	154
2	3724	154

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 135 to 56 computations (58.5% saved)

preprocess42.0ms (1%)

Remove: (sort x y)
Compiler: Compiled 176 to 92 computations (47.7% saved)

Examples.Basics.ProofTests:f4 from sbv-4.4

analyze0.0ms (0%)

sample970.0ms (23%)

preprocess190.0ms (4.5%)

explain151.0ms (3.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize66.0ms (1.6%)

series22.0ms (0.5%)

rewrite493.0ms (11.7%)

simplify298.0ms (7.1%)

eval48.0ms (1.1%)

prune52.0ms (1.2%)

localize189.0ms (4.5%)

series63.0ms (1.5%)

rewrite169.0ms (4%)

simplify205.0ms (4.9%)

eval44.0ms (1%)

prune75.0ms (1.8%)

localize83.0ms (2%)

series8.0ms (0.2%)

rewrite126.0ms (3%)

simplify319.0ms (7.6%)

eval34.0ms (0.8%)

prune45.0ms (1.1%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch7.0ms (0.2%)

simplify3.0ms (0.1%)

soundness484.0ms (11.5%)

preprocess42.0ms (1%)

end0.0ms (0%)

Profiling