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)

sample892.0ms (22%)

Results

647.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult: 255.0ms (71.3% of total)

ival-add: 88.0ms (24.6% of total)

const: 12.0ms (3.4% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess114.0ms (2.8%)

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)

explain247.0ms (6.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(+.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

211.0ms

512×

valid

Compiler

Compiled 99 to 29 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 182.0ms (96.9% of total)

ival-add: 5.0ms (2.7% of total)

const: 1.0ms (0.5% 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)

localize64.0ms (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	96.9%	(+.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

35.0ms

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 (55.2% 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
3.0ms	x	@	-inf	(+ (+ (* x x) (* (* x 2) y)) (* y y))
1.0ms	x	@	-inf	(* x 2)
1.0ms	x	@	inf	(+ (* x x) (* (* x 2) y))
1.0ms	y	@	0	(+ (* x x) (* (* x 2) y))
1.0ms	x	@	0	(+ (* x x) (* (* x 2) y))

rewrite457.0ms (11.3%)

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)))))
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(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)))

simplify300.0ms (7.4%)

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

eval108.0ms (2.7%)

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

prune52.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	383	3	386
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	383	5	388

Accuracy

100.0%

Counts

388 → 5

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)))
▶	57.1%	(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))
▶	54.5%	(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y y))
▶	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize216.0ms (5.3%)

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	-6144	(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y y))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 2 binary64) x))
	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)
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 2 binary64) x))
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	97.4%	(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.f64 y y))
	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))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	194
1	37	190
2	66	190
3	92	190
4	94	190

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

188.0ms

256×

valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 160.0ms (95.9% of total)

ival-add: 4.0ms (2.4% of total)

ival-pow: 3.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Counts

8 → 120

Calls

Call 1

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

39 calls:

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

rewrite151.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log1p-expm1-u`
810×	`expm1-log1p-u`
453×	`fma-neg`
210×	`expm1-undefine`
210×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	151
1	254	147
2	3731	147

Stop Event

1×	node limit

Counts

8 → 226

Calls

Call 1

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

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

simplify303.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

669×	`distribute-lft-in`
591×	`cancel-sign-sub-inv`
498×	`fma-neg`
356×	`distribute-lft-neg-in`
335×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	11174
1	1205	10928
2	3793	10688

Stop Event

1×	node limit

Counts

346 → 325

Calls

Call 1

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

eval42.0ms (1%)

Compiler: Compiled 5522 to 1046 computations (81.1% saved)

prune47.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	356	3	359
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	358	6	364

Accuracy

100.0%

Counts

364 → 6

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))
✓	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
▶	99.4%	(+.f64 (.f64 x x) (.f64 y y))
▶	57.3%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
▶	57.1%	(*.f64 y y)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize57.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 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 y (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	-6272	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
	cost-diff	0	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
	accuracy	100.0%	(*.f64 y y)
	accuracy	100.0%	(*.f64 x x)
✓	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 (+.f64 y (.f64 #s(literal 2 binary64) x)))
	accuracy	100.0%	(*.f64 y y)

Rules

12×	`fma-define`
9×	`*-commutative`
2×	`distribute-rgt-in`
2×	`associate-r`
2×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	144
1	24	136
2	39	136
3	51	136

Stop Event

1×

saturated

Calls

Call 1

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

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

36.0ms

256×

valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-mult: 7.0ms (66.7% of total)

ival-add: 3.0ms (28.6% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 63

Calls

Call 1

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

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

18 calls:

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

rewrite117.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
533×	`fma-define`
456×	`log-prod`
236×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	190	58
2	2712	58

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

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

simplify127.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-define`
717×	`times-frac`
359×	`*-commutative`
304×	`distribute-rgt-in`
299×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	7616
1	901	6884
2	2260	6786

Stop Event

1×	node limit

Counts

235 → 225

Calls

Call 1

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

eval35.0ms (0.9%)

Compiler: Compiled 3538 to 708 computations (80% saved)

prune87.0ms (2.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	292	7	299

Accuracy

100.0%

Counts

299 → 7

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))
✓	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
✓	99.4%	(+.f64 (.f64 x x) (.f64 y y))
✓	57.3%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
▶	12.4%	(.f64 y (.f64 #s(literal 2 binary64) x))
✓	57.1%	(*.f64 y y)

Compiler

Compiled 70 to 43 computations (38.6% saved)

localize27.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	21	38
3	23	38

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (92.2% of total)

const: 0.0ms (0% of total)

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

eval5.0ms (0.1%)

Compiler: Compiled 258 to 97 computations (62.4% saved)

prune7.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	33	7	40

Accuracy

100.0%

Counts

40 → 7

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))
✓	97.3%	(+.f64 (.f64 x (+.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
✓	99.4%	(+.f64 (.f64 x x) (.f64 y y))
✓	57.3%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	12.4%	(.f64 y (.f64 #s(literal 2 binary64) x))
✓	57.1%	(*.f64 y y)

Compiler

Compiled 140 to 66 computations (52.9% 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 y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (*.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:

4.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	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)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -29.3b remaining (-106.8%)

Threshold costs -29.3b (-106.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 y y)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
57.1%	1	`y`
57.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	18	72

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness505.0ms (12.4%)

Rules

810×	`log1p-expm1-u`
810×	`expm1-log1p-u`
806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
678×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	16505
1	1319	16168
2	4219	16064
0	18	197
1	263	192
2	3649	192
0	17	151
1	254	147
2	3731	147

Stop Event

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

Compiler

Compiled 126 to 51 computations (59.5% saved)

preprocess35.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 152 to 84 computations (44.7% saved)

Examples.Basics.ProofTests:f4 from sbv-4.4

analyze0.0ms (0%)

sample892.0ms (22%)

preprocess114.0ms (2.8%)

explain247.0ms (6.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize64.0ms (1.6%)

series22.0ms (0.5%)

rewrite457.0ms (11.3%)

simplify300.0ms (7.4%)

eval108.0ms (2.7%)

prune52.0ms (1.3%)

localize216.0ms (5.3%)

series13.0ms (0.3%)

rewrite151.0ms (3.7%)

simplify303.0ms (7.5%)

eval42.0ms (1%)

prune47.0ms (1.2%)

localize57.0ms (1.4%)

series5.0ms (0.1%)

rewrite117.0ms (2.9%)

simplify127.0ms (3.1%)

eval35.0ms (0.9%)

prune87.0ms (2.1%)

localize27.0ms (0.7%)

eval5.0ms (0.1%)

prune7.0ms (0.2%)

regimes12.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness505.0ms (12.4%)

preprocess35.0ms (0.9%)

end0.0ms (0%)

Profiling