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 (36.1%)

Results

942.0ms	7229×	256	valid
91.0ms	1024×	256	infinite
0.0ms	2×	1024	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

Operation ival-add, time spent: 164.0ms, 52.0% of total-time

Operation ival-mult, time spent: 141.0ms, 45.0% of total-time

Operation const, time spent: 10.0ms, 3.0% of total-time

Bogosity

preprocess167.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1138×	`fma-neg`
844×	`fma-define`
168×	`cancel-sign-sub-inv`
154×	`unsub-neg`
138×	`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: 11.0ms

Operation ival-add, time spent: 6.0ms, 57.0% of total-time

Operation ival-mult, time spent: 4.0ms, 38.0% of total-time

Operation const, time spent: 1.0ms, 9.0% 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)

localize50.0ms (1.7%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

Operation ival-add, time spent: 6.0ms, 40.0% of total-time

Operation composed, time spent: 4.0ms, 27.0% of total-time

Operation ival-mult, time spent: 4.0ms, 27.0% of total-time

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

series6.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite206.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`unpow-prod-down`
755×	`log1p-expm1-u`
755×	`expm1-log1p-u`
724×	`fma-define`
710×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	155	42
2	2104	42

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

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

simplify100.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in`
1012×	`distribute-rgt-in`
922×	`times-frac`
528×	`unswap-sqr`
478×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	6042
1	861	5731
2	2394	5561

Stop Event

1×	node limit

Counts

186 → 186

Calls

Call 1

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

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

eval47.0ms (1.6%)

Compiler: Compiled 2704 to 1431 computations (47.1% saved)

prune29.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
▶	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	63.8%	(+.f64 (*.f64 x y) y)
▶	77.2%	(+.f64 x y)
▶	41.4%	y

Compiler

Compiled 33 to 20 computations (39.4% saved)

localize159.0ms (5.4%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-add, time spent: 8.0ms, 55.0% of total-time

Operation ival-mult, time spent: 5.0ms, 35.0% of total-time

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite98.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`prod-diff`
764×	`log-prod`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
742×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	155	37
2	2107	36

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1618×	`times-frac`
926×	`div-sub`
896×	`fma-define`
628×	`distribute-lft-in`
570×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3786
1	616	3741
2	1493	3652
3	6473	3652

Stop Event

1×	node limit

Counts

162 → 138

Calls

Call 1

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

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

eval27.0ms (0.9%)

Compiler: Compiled 1491 to 652 computations (56.3% saved)

prune58.0ms (1.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	137	6	143

Accuracy

100.0%

Counts

143 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	63.8%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
▶	24.8%	(*.f64 y x)
✓	41.4%	y

Compiler

Compiled 38 to 23 computations (39.5% saved)

localize21.0ms (0.7%)

Compiler: Compiled 8 to 4 computations (50% saved)
Precisions: Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 5.0ms, 98.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	63.8%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
✓	24.8%	(*.f64 y x)
✓	41.4%	y

Compiler

Compiled 72 to 38 computations (47.2% saved)

regimes17.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	(+.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 (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
87.1%	6	`x`
99.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.5%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
84.2%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes76.0ms (2.6%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

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

Calls

2 calls:

67.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
63.2%	3	`x`
48.4%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
41.4%	1	`y`
41.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.279442112826404e-5	0.013908742080117331
18.0ms	-17942.127088567857	-2.500377272528802e-13

Results

26.0ms	269×	256	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 232 to 152 computations (34.5% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 53.0% of total-time

Operation ival-mult, time spent: 2.0ms, 35.0% of total-time

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

bsearch43.0ms (1.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.3214696437744555e+164	2.9227880734886785e+164
15.0ms	2.8708679612069334e+155	9.4556460319844e+159
19.0ms	-17942.127088567857	-2.500377272528802e-13

Results

33.0ms	318×	256	valid
5.0ms	49×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 290 to 193 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-add, time spent: 7.0ms, 65.0% of total-time

Operation ival-mult, time spent: 3.0ms, 28.0% of total-time

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

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0024501027889063977	2217668819567391500.0
12.0ms	-2957892797558648.5	-339716238800118.06

Results

27.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 184 to 128 computations (30.4% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 52.0% of total-time

Operation ival-mult, time spent: 2.0ms, 35.0% of total-time

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	265
1	63	259
2	66	259
3	69	255
4	70	255
5	71	255

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7782220156096217/576460752303423488 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 134999999999999989369887266293989231954524884147663853651103750287445790207674156805331269486963980789891868300900229448253818078068415732844081089405364731904 binary64)) (+.f64 x y) (if (<=.f64 y #s(literal 214999999999999997826083826527541612558507380858086156658756686234634064338927018833296243777309240612180568998262480432503964464311696064474587667520048089010274304 binary64)) (.f64 y x) (+.f64 x y))))
(if (<=.f64 x #s(literal -350000000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
y

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7782220156096217/576460752303423488 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 7782220156096217/576460752303423488 binary64)) (+.f64 x y) (+.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 134999999999999989369887266293989231954524884147663853651103750287445790207674156805331269486963980789891868300900229448253818078068415732844081089405364731904 binary64)) (+.f64 x y) (if (<=.f64 y #s(literal 214999999999999997826083826527541612558507380858086156658756686234634064338927018833296243777309240612180568998262480432503964464311696064474587667520048089010274304 binary64)) (.f64 y x) (+.f64 x y))))
(if (<=.f64 y #s(literal -17500 binary64)) (.f64 x y) (if (or (<=.f64 y #s(literal 134999999999999989369887266293989231954524884147663853651103750287445790207674156805331269486963980789891868300900229448253818078068415732844081089405364731904 binary64)) (not (<=.f64 y #s(literal 214999999999999997826083826527541612558507380858086156658756686234634064338927018833296243777309240612180568998262480432503964464311696064474587667520048089010274304 binary64)))) (+.f64 x y) (.f64 x y)))
(if (or (<=.f64 y #s(literal -17500 binary64)) (not (or (<=.f64 y #s(literal 134999999999999989369887266293989231954524884147663853651103750287445790207674156805331269486963980789891868300900229448253818078068415732844081089405364731904 binary64)) (not (<=.f64 y #s(literal 214999999999999997826083826527541612558507380858086156658756686234634064338927018833296243777309240612180568998262480432503964464311696064474587667520048089010274304 binary64)))))) (*.f64 x y) (+.f64 x y))
(if (or (<=.f64 y #s(literal -17500 binary64)) (and (not (<=.f64 y #s(literal 134999999999999989369887266293989231954524884147663853651103750287445790207674156805331269486963980789891868300900229448253818078068415732844081089405364731904 binary64))) (<=.f64 y #s(literal 214999999999999997826083826527541612558507380858086156658756686234634064338927018833296243777309240612180568998262480432503964464311696064474587667520048089010274304 binary64)))) (*.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -350000000000000 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y x)))
(if (or (<=.f64 x #s(literal -350000000000000 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x y) y)
y

Compiler

Compiled 78 to 48 computations (38.5% saved)

soundness437.0ms (14.7%)

Rules

1618×	`times-frac`
1312×	`unpow-prod-down`
1138×	`fma-neg`
926×	`div-sub`
896×	`fma-define`

Iterations

Useful iterations: 0 (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	271	3786
1	616	3741
2	1493	3652
3	6473	3652
0	13	42
1	155	42
2	2104	42

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 60 to 31 computations (48.3% saved)

end0.0ms (0%)

preprocess90.0ms (3%)

Remove: (sort x y)
Compiler: Compiled 226 to 118 computations (47.8% saved)

analyze0.0ms (0%)

sample1.1s (36.1%)

preprocess167.0ms (5.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize50.0ms (1.7%)

series6.0ms (0.2%)

rewrite206.0ms (6.9%)

simplify100.0ms (3.4%)

eval47.0ms (1.6%)

prune29.0ms (1%)

localize159.0ms (5.4%)

series4.0ms (0.1%)

rewrite98.0ms (3.3%)

simplify110.0ms (3.7%)

eval27.0ms (0.9%)

prune58.0ms (1.9%)

localize21.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes17.0ms (0.6%)

regimes11.0ms (0.4%)

regimes47.0ms (1.6%)

regimes15.0ms (0.5%)

regimes76.0ms (2.6%)

regimes6.0ms (0.2%)

bsearch31.0ms (1%)

bsearch43.0ms (1.5%)

bsearch32.0ms (1.1%)

simplify10.0ms (0.3%)

soundness437.0ms (14.7%)

end0.0ms (0%)

preprocess90.0ms (3%)

Profiling