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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (34.1%)

Results

918.0ms	7304×	256	valid
143.0ms	949×	256	infinite
0.0ms	2×	1024	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

Operation ival-add, time spent: 149.0ms, 61.0% of total-time

Operation ival-mult, time spent: 87.0ms, 36.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess231.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

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

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`

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)

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

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

Operation ival-add, time spent: 8.0ms, 54.0% of total-time

Operation ival-mult, time spent: 6.0ms, 41.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

eval1.0ms (0%)

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

prune1.0ms (0%)

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)

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize228.0ms (6.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

Operation ival-add, time spent: 7.0ms, 45.0% of total-time

Operation composed, time spent: 4.0ms, 26.0% of total-time

Operation ival-mult, time spent: 4.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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))))>

Calls

6 calls:

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

rewrite223.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log1p-expm1-u`
751×	`expm1-log1p-u`
636×	`unpow-prod-down`
539×	`fma-define`
324×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	130	27
2	2005	24

Stop Event

1×	node limit

Counts

1 → 119

Calls

Call 1

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

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

simplify124.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-define`
394×	`distribute-lft-in`
364×	`distribute-rgt-in`
317×	`sub-neg`
236×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	313	5041
1	725	4967
2	1855	4850
3	6915	4811

Stop Event

1×	node limit

Counts

143 → 172

Calls

Call 1

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

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

eval50.0ms (1.5%)

Compiler: Compiled 2437 to 1175 computations (51.8% saved)

prune25.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	169	5	174

Accuracy

100.0%

Counts

174 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	61.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	37.2%	y
▶	40.2%	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize60.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-add, time spent: 14.0ms, 74.0% of total-time

Operation ival-mult, time spent: 4.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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 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 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)))))>

Calls

6 calls:

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

rewrite72.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log1p-expm1-u`
470×	`expm1-log1p-u`
446×	`add-exp-log`
419×	`unpow-prod-down`
383×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	107	18
2	1364	18

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

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

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

706×	`prod-exp`
680×	`fma-neg`
514×	`cancel-sign-sub-inv`
415×	`associate-r`
407×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1639
1	331	1633
2	780	1621
3	3915	1621

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 633 to 275 computations (56.6% saved)

prune11.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	63	7	70

Accuracy

100.0%

Counts

70 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	61.6%	(+.f64 (*.f64 y x) y)
✓	61.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	26.2%	(*.f64 y x)
✓	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	37.2%	y
✓	40.2%	x

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize28.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 51.0% of total-time

Operation ival-mult, time spent: 2.0ms, 51.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series2.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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))))>
#<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)))))>

Calls

6 calls:

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

rewrite78.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
447×	`unpow-prod-down`
407×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	98	18
2	1332	18

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

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

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

610×	`prod-exp`
535×	`unswap-sqr`
398×	`div-sub`
377×	`times-frac`
222×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2206
1	401	2153
2	1056	2111
3	4456	2111

Stop Event

1×	node limit

Counts

89 → 79

Calls

Call 1

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

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

eval25.0ms (0.7%)

Compiler: Compiled 888 to 384 computations (56.8% saved)

prune14.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	79	7	86

Accuracy

100.0%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	61.6%	(+.f64 (*.f64 y x) y)
✓	61.6%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	26.2%	(*.f64 y x)
✓	63.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	37.2%	y
✓	40.2%	x

Compiler

Compiled 76 to 42 computations (44.7% saved)

regimes13.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y

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)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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 (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
90.9%	4	`x`
92.5%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
88.7%	3	`x`
76.9%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.3%)

Counts

3 → 5

Calls

Call 1

Inputs
x
y
(*.f64 y x)

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
76.5%	5	`y`
71.5%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.8%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
40.2%	1	`x`
40.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0405904569901954e-121	4.511584616161493e-107

Results

17.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 174 to 129 computations (25.9% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 59.0% of total-time

Operation ival-mult, time spent: 1.0ms, 30.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch38.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.2198502458952365e-24	3.4252635715364086
18.0ms	-5.588821345152403e-209	-3.1672236278251666e-214

Results

33.0ms	318×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid

Compiler

Compiled 232 to 167 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-add, time spent: 4.0ms, 59.0% of total-time

Operation ival-mult, time spent: 3.0ms, 44.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch70.0ms (2.1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.623018850948712e+153	1.0589396857913005e+155
17.0ms	2.9773172925019977e+91	2.8018892038008134e+100
18.0ms	1.4000664131396245e-103	2.805285790599218e-93
20.0ms	-8205289.572741371	-5.011965269100716e-8

Results

56.0ms	526×	256	valid
5.0ms	49×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 354 to 251 computations (29.1% saved)

Precisions

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

Operation ival-add, time spent: 8.0ms, 54.0% of total-time

Operation ival-mult, time spent: 6.0ms, 41.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch19.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4000664131396245e-103	2.805285790599218e-93

Results

16.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 94 to 69 computations (26.6% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 59.0% of total-time

Operation ival-mult, time spent: 1.0ms, 30.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	275
1	63	275

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(if (<=.f64 y #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2544775458471149/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 775019052315365/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 y #s(literal 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832 binary64)) y (if (<=.f64 y #s(literal 31999999999999999991468896131940919835377248611789973961146886016779829744717560373533432306066149070197420122368918720652563011012128967044256507512225792 binary64)) (.f64 y x) y))))
(if (<=.f64 y #s(literal 8548695001296753/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) x y)
x

Outputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 y x)))
(if (<=.f64 y #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 5288447750321989/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -2544775458471149/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
(if (<=.f64 x #s(literal -2544775458471149/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 775019052315365/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 y #s(literal 3400000000000000031690720476389037225616012296148685806822046218102233124367331769287371128832 binary64)) y (if (<=.f64 y #s(literal 31999999999999999991468896131940919835377248611789973961146886016779829744717560373533432306066149070197420122368918720652563011012128967044256507512225792 binary64)) (.f64 y x) y))))
(if (<=.f64 y #s(literal 8548695001296753/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) x y)
x

Compiler

Compiled 90 to 55 computations (38.9% saved)

soundness521.0ms (15.6%)

Rules

712×	`fma-define`
706×	`prod-exp`
680×	`fma-neg`
569×	`fma-neg`
514×	`cancel-sign-sub-inv`

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	150	1639
1	331	1633
2	780	1621
3	3915	1621
0	313	5041
1	725	4967
2	1855	4850
3	6915	4811

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 61 to 35 computations (42.6% saved)

end0.0ms (0%)

preprocess130.0ms (3.9%)

Compiler: Compiled 238 to 132 computations (44.5% saved)

analyze0.0ms (0%)

sample1.1s (34.1%)

preprocess231.0ms (6.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize228.0ms (6.8%)

series4.0ms (0.1%)

rewrite223.0ms (6.7%)

simplify124.0ms (3.7%)

eval50.0ms (1.5%)

prune25.0ms (0.8%)

localize60.0ms (1.8%)

series3.0ms (0.1%)

rewrite72.0ms (2.1%)

simplify72.0ms (2.2%)

eval13.0ms (0.4%)

prune11.0ms (0.3%)

localize28.0ms (0.8%)

series2.0ms (0.1%)

rewrite78.0ms (2.3%)

simplify74.0ms (2.2%)

eval25.0ms (0.7%)

prune14.0ms (0.4%)

regimes13.0ms (0.4%)

regimes9.0ms (0.3%)

regimes11.0ms (0.3%)

regimes11.0ms (0.3%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch19.0ms (0.6%)

bsearch38.0ms (1.1%)

bsearch70.0ms (2.1%)

bsearch19.0ms (0.6%)

simplify8.0ms (0.2%)

soundness521.0ms (15.6%)

end0.0ms (0%)

preprocess130.0ms (3.9%)

Profiling