Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-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)

sample849.0ms (29.5%)

Results

655.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-add: 251.0ms (60.4% of total)

ival-mult: 155.0ms (37.3% of total)

const: 7.0ms (1.7% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess92.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg`
422×	`fma-define`
84×	`cancel-sign-sub-inv`
77×	`unsub-neg`
69×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)

Symmetry

(sort x y)

explain59.0ms (2%)

FPErrors

Click to see full error table

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

Results

35.0ms

512×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

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

ival-add: 7.0ms (60.5% of total)

ival-mult: 4.0ms (34.6% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	100.0%	(+.f64 y (fma.f64 x y x))

Compiler

Compiled 25 to 14 computations (44% saved)

localize187.0ms (6.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(+.f64 y (fma.f64 x y x))

Results

175.0ms

256×

valid

Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-fma: 149.0ms (94.8% of total)

ival-add: 6.0ms (3.8% of total)

ival-mult: 2.0ms (1.3% of total)

const: 1.0ms (0.6% of total)

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

series16.0ms (0.5%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (+.f64 y (fma.f64 x y x))>
#<alt (+.f64 (*.f64 x y) x)>
#<alt (+.f64 (+.f64 (*.f64 x y) x) y)>
#<alt (fma.f64 (+.f64 y #s(literal 1 binary64)) x y)>

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

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(+ y (+ (* x y) x))
1.0ms	x	@	-inf	(+ y (+ (* x y) x))
1.0ms	y	@	-inf	(+ y (+ (* x y) x))
0.0ms	x	@	inf	(+ y (+ (* x y) x))
0.0ms	x	@	-inf	(+ (* (+ y 1) x) y)

rewrite325.0ms (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`log1p-expm1-u`
1050×	`expm1-log1p-u`
768×	`fma-define`
361×	`fma-neg`
96×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	219	90
2	3130	90

Stop Event

1×	node limit

Counts

4 → 299

Calls

Call 1

Inputs
(+.f64 y (fma.f64 x y x))
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)

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

simplify167.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-lft-in`
460×	`distribute-rgt-in`
410×	`associate-/l*`
390×	`cancel-sign-sub-inv`
267×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	14930
1	837	13788
2	2278	13587

Stop Event

1×	node limit

Counts

395 → 211

Calls

Call 1

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

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

eval37.0ms (1.3%)

Compiler: Compiled 2824 to 1212 computations (57.1% saved)

prune39.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	205	6	211
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	207	7	214

Accuracy

100.0%

Counts

214 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.8%	(fma.f64 x y y)
▶	62.0%	(fma.f64 x y x)
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	61.8%	(+.f64 (*.f64 x y) y)
▶	62.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	39.9%	y
▶	40.8%	x

Compiler

Compiled 73 to 43 computations (41.1% saved)

localize77.0ms (2.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) y)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Results

66.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 42.0ms (81.8% of total)

ival-fma: 5.0ms (9.7% of total)

ival-add: 4.0ms (7.8% of total)

const: 1.0ms (1.9% of total)

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 (*.f64 x y) y)>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x y) y)
0.0ms	y	@	inf	(+ (* x y) y)
0.0ms	x	@	0	(* x (+ y 1))
0.0ms	y	@	-inf	(+ (* x y) y)
0.0ms	x	@	inf	(* x (+ y 1))

rewrite108.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
698×	`unpow-prod-down`
412×	`fma-define`
384×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	159	36
2	2167	36

Stop Event

1×	node limit

Counts

2 → 145

Calls

Call 1

Inputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)

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

simplify117.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac`
583×	`fma-define`
367×	`distribute-lft-in`
338×	`distribute-rgt-in`
271×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	5125
1	823	4985
2	2058	4803

Stop Event

1×	node limit

Counts

193 → 179

Calls

Call 1

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

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

eval28.0ms (1%)

Compiler: Compiled 2047 to 889 computations (56.6% saved)

prune24.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	178	8	186

Accuracy

100.0%

Counts

186 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(fma.f64 y x y)
✓	62.0%	(fma.f64 x y x)
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	61.8%	(+.f64 (*.f64 x y) y)
✓	62.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	23.8%	(*.f64 x y)
✓	39.9%	y
✓	40.8%	x

Compiler

Compiled 46 to 27 computations (41.3% saved)

localize22.0ms (0.8%)

Results

17.0ms

256×

valid

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

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

ival-fma: 3.0ms (51.3% of total)

ival-mult: 2.0ms (34.2% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	6	6
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(fma.f64 y x y)
✓	62.0%	(fma.f64 x y x)
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	61.8%	(+.f64 (*.f64 x y) y)
✓	62.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	23.8%	(*.f64 x y)
✓	39.9%	y
✓	40.8%	x

Compiler

Compiled 94 to 43 computations (54.3% saved)

regimes12.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
x
y
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 x y x)
(fma.f64 x y y)
(fma.f64 y x y)
(+.f64 y (fma.f64 x y x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
x
y
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 x y x)
(fma.f64 x y y)
(fma.f64 y x y)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes11.0ms (0.4%)

Counts

5 → 4

Calls

Call 1

Inputs
x
y
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)

Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
90.0%	2	`x`
93.3%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (1.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(*.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))

Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
y
(*.f64 x y)

Calls

2 calls:

25.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
89.2%	3	`x`
79.5%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.3%)

Counts

3 → 6

Calls

Call 1

Inputs
x
y
(*.f64 x y)

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
78.9%	6	`y`
75.6%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
68.5%	2	`x`
70.9%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
40.8%	1	`y`
40.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch178.0ms (6.2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.829070934420393e-31	5.204519523488793e-24
157.0ms	1.1475591258795797e-99	4.15369166175494e-98
7.0ms	1.0293745046913184e-171	5.200924776934107e-171

Results

164.0ms	350×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 366 to 251 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 152.0ms (97.8% of total)

ival-add: 4.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.7646663127034305e-7	12.710875511914121
15.0ms	-1.6877346455031431e-118	-3.733987442686317e-135

Results

13.0ms

304×

valid

Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions

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

ival-add: 3.0ms (53.3% of total)

ival-mult: 2.0ms (35.5% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (1.9%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.003616165968202e+228	9.445981953729231e+229
13.0ms	7.829070934420393e-31	5.204519523488793e-24
8.0ms	1.1475591258795797e-99	4.15369166175494e-98
7.0ms	1.0293745046913184e-171	5.200924776934107e-171
14.0ms	-4.82195616934983	-3.68771912776484e-14

Results

32.0ms

624×

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

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

ival-add: 6.0ms (51.6% of total)

ival-mult: 5.0ms (43% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.6877346455031431e-118	-3.733987442686317e-135

Results

9.0ms

160×

valid

Compiler

Compiled 94 to 69 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (66.3% of total)

ival-mult: 1.0ms (33.1% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`not-or`
4×	`if-if-or-not`
3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	347
1	68	335
2	71	335
3	74	331
4	75	331
5	76	331

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (fma.f64 x y x))
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 y #s(literal 7505617204092299/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5171513313276775/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (+.f64 (.f64 x y) y) (if (<=.f64 y #s(literal 6913231011544493/11150372599265311570767859136324180752990208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 (.f64 x y) y))))
(if (<=.f64 x #s(literal -3747762172149223/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 x y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 5656407168301443/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) x (if (<=.f64 y #s(literal 7141613623096499/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) y (if (<=.f64 y #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) x (if (<=.f64 y #s(literal 5599999999999999846570038685138106015739246325066373991069782973741457956810340882723944157682597471855498457818753570020024650128848415107807336786166005175251451312838482632102163511924533333341164094496438289563316284106473472 binary64)) y (.f64 x y))))))
(if (<=.f64 x #s(literal -3747762172149223/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) x y)
x

Outputs
(+.f64 y (fma.f64 x y x))
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal 7505617204092299/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5171513313276775/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (+.f64 (.f64 x y) y) (if (<=.f64 y #s(literal 6913231011544493/11150372599265311570767859136324180752990208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 (.f64 x y) y))))
(if (<=.f64 y #s(literal 7505617204092299/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (or (<=.f64 y #s(literal 5171513313276775/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (not (<=.f64 y #s(literal 6913231011544493/11150372599265311570767859136324180752990208 binary64)))) (+.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal 7505617204092299/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (not (or (<=.f64 y #s(literal 5171513313276775/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (not (<=.f64 y #s(literal 6913231011544493/11150372599265311570767859136324180752990208 binary64)))))) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y (.f64 y x)))
(if (or (<=.f64 y #s(literal 7505617204092299/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (and (not (<=.f64 y #s(literal 5171513313276775/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64))) (<=.f64 y #s(literal 6913231011544493/11150372599265311570767859136324180752990208 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y (.f64 y x)))
(if (<=.f64 x #s(literal -3747762172149223/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 x y)))
(if (<=.f64 x #s(literal -3747762172149223/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
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(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 5656407168301443/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) x (if (<=.f64 y #s(literal 7141613623096499/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) y (if (<=.f64 y #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) x (if (<=.f64 y #s(literal 5599999999999999846570038685138106015739246325066373991069782973741457956810340882723944157682597471855498457818753570020024650128848415107807336786166005175251451312838482632102163511924533333341164094496438289563316284106473472 binary64)) y (.f64 y x))))))
(if (<=.f64 x #s(literal -3747762172149223/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) x y)
x

soundness300.0ms (10.4%)

Rules

569×	`fma-neg`
495×	`distribute-lft-in`
460×	`distribute-rgt-in`
422×	`fma-define`
410×	`associate-/l*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168
0	351	14930
1	837	13788
2	2278	13587

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 126 to 64 computations (49.2% saved)

preprocess52.0ms (1.8%)

Remove: (sort x y)
Compiler: Compiled 266 to 138 computations (48.1% saved)

Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

sample849.0ms (29.5%)

preprocess92.0ms (3.2%)

explain59.0ms (2%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize187.0ms (6.5%)

series16.0ms (0.5%)

rewrite325.0ms (11.3%)

simplify167.0ms (5.8%)

eval37.0ms (1.3%)

prune39.0ms (1.4%)

localize77.0ms (2.7%)

series4.0ms (0.1%)

rewrite108.0ms (3.8%)

simplify117.0ms (4.1%)

eval28.0ms (1%)

prune24.0ms (0.8%)

localize22.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes12.0ms (0.4%)

regimes10.0ms (0.4%)

regimes11.0ms (0.4%)

regimes31.0ms (1.1%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes1.0ms (0%)

bsearch178.0ms (6.2%)

bsearch28.0ms (1%)

bsearch54.0ms (1.9%)

bsearch15.0ms (0.5%)

simplify9.0ms (0.3%)

soundness300.0ms (10.4%)

preprocess52.0ms (1.8%)

end0.0ms (0%)

Profiling