Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, 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 12 to 8 computations (33.3% 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

sample1.2s (41%)

Results

657.0ms	5959×	256	valid
470.0ms	2296×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

Operation ival-mult, time spent: 282.0ms, 75.0% of total-time

Operation ival-add, time spent: 79.0ms, 21.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Bogosity

preprocess477.0ms (16.4%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-define`
554×	`fma-neg`
143×	`unsub-neg`
114×	`distribute-lft-neg-in`
104×	`distribute-lft-in`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	788	196
4	1499	196
5	2581	196
6	2976	196
7	3094	196
8	3126	196
9	3136	196
10	3137	196

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-mult, time spent: 14.0ms, 77.0% of total-time

Operation ival-add, time spent: 3.0ms, 16.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	95.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize58.0ms (2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	96.3%	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

Operation ival-mult, time spent: 11.0ms, 64.0% of total-time

Operation ival-add, time spent: 6.0ms, 35.0% of total-time

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

series122.0ms (4.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
115.0ms	x	@	-inf	(+ (* x x) (* x y))
1.0ms	y	@	0	(* (+ x y) (* 2 x))
1.0ms	x	@	inf	(+ (* x x) (* x y))
1.0ms	x	@	inf	(* (+ x y) (* 2 x))
1.0ms	y	@	inf	(+ (* x x) (* x y))

rewrite368.0ms (12.7%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`log1p-expm1-u`
968×	`expm1-log1p-u`
546×	`fma-define`
506×	`log-prod`
223×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	190	50
2	2706	50

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

simplify178.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg`
680×	`fma-define`
426×	`distribute-lft-in`
416×	`distribute-rgt-in`
393×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	4790
1	656	4706
2	1819	4678
3	6988	4678

Stop Event

1×	node limit

Counts

146 → 136

Calls

Call 1

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

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

eval37.0ms (1.3%)

Compiler: Compiled 1818 to 1018 computations (44% saved)

prune19.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	135	3	138

Accuracy

100.0%

Counts

138 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	95.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
▶	60.5%	(.f64 #s(literal 2 binary64) (.f64 x y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize28.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x y))

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-mult, time spent: 4.0ms, 79.0% of total-time

Operation const, time spent: 1.0ms, 20.0% of total-time

series4.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

6 calls:

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

rewrite74.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`unpow-prod-down`
361×	`log1p-expm1-u`
361×	`expm1-log1p-u`
346×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1006	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-define`
655×	`fma-neg`
413×	`distribute-lft-out`
344×	`prod-exp`
332×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	578
1	128	572
2	300	572
3	1470	572
4	3758	572
5	5836	572

Stop Event

1×	node limit

Counts

22 → 32

Calls

Call 1

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

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

eval7.0ms (0.3%)

Compiler: Compiled 335 to 234 computations (30.1% saved)

prune15.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	32	3	35

Accuracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	95.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
✓	60.5%	(.f64 #s(literal 2 binary64) (.f64 x y))

Compiler

Compiled 50 to 31 computations (38% saved)

regimes11.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	y
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
60.5%	1	`x`
60.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	18	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness193.0ms (6.7%)

Rules

837×	`fma-define`
554×	`fma-neg`
143×	`unsub-neg`
114×	`distribute-lft-neg-in`
104×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	788	196
4	1499	196
5	2581	196
6	2976	196
7	3094	196
8	3126	196
9	3136	196
10	3137	196

Stop Event

1×

saturated

Compiler

Compiled 48 to 24 computations (50% saved)

end0.0ms (0%)

preprocess38.0ms (1.3%)

Compiler: Compiled 68 to 44 computations (35.3% saved)

analyze0.0ms (0%)

sample1.2s (41%)

preprocess477.0ms (16.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize58.0ms (2%)

series122.0ms (4.2%)

rewrite368.0ms (12.7%)

simplify178.0ms (6.1%)

eval37.0ms (1.3%)

prune19.0ms (0.7%)

localize28.0ms (1%)

series4.0ms (0.1%)

rewrite74.0ms (2.6%)

simplify74.0ms (2.5%)

eval7.0ms (0.3%)

prune15.0ms (0.5%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness193.0ms (6.7%)

end0.0ms (0%)

preprocess38.0ms (1.3%)

Profiling