Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

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-sub, 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

sample2.3s (50.7%)

Results

1.8s	5959×	256	valid
314.0ms	2296×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

Operation ival-mult, time spent: 659.0ms, 90.0% of total-time

Operation ival-sub, time spent: 58.0ms, 8.0% of total-time

Operation const, time spent: 14.0ms, 2.0% of total-time

Bogosity

preprocess232.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg`
216×	`fma-define`
172×	`unsub-neg`
163×	`associate-r`
148×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(-.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	91	196
2	210	196
3	722	196
4	1664	196
5	2112	196
6	2480	196
7	2600	196
8	2600	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 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 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 x (-.f64 x (neg.f64 y))))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(.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)))
(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 x (.f64 #s(literal -2 binary64) (+.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 x (-.f64 x (neg.f64 y))))
(.f64 (.f64 x (+.f64 x y)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal -2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 y y) (*.f64 y x)))
(.f64 #s(literal 2 binary64) (.f64 y (-.f64 y x)))
(.f64 y (.f64 (-.f64 y x) #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal 2 binary64) (-.f64 y x)))
(.f64 y (.f64 #s(literal -2 binary64) (-.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: 12.0ms, 67.0% of total-time

Operation ival-sub, time spent: 5.0ms, 28.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize56.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	91.5%	(-.f64 (.f64 x x) (.f64 x y))
✓	100.0%	(*.f64 x (-.f64 x y))

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

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

Operation ival-mult, time spent: 11.0ms, 74.0% of total-time

Operation ival-sub, time spent: 3.0ms, 20.0% of total-time

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

series7.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite259.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`log1p-expm1-u`
825×	`expm1-log1p-u`
659×	`fma-define`
400×	`log-prod`
264×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	180	44
2	2316	44

Stop Event

1×	node limit

Counts

2 → 430

Calls

Call 1

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

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

simplify201.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

938×	`times-frac`
451×	`distribute-lft-in`
417×	`fma-neg`
411×	`distribute-rgt-in`
283×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	15479
1	930	15151
2	2590	14633

Stop Event

1×	node limit

Counts

478 → 252

Calls

Call 1

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

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

eval205.0ms (4.6%)

Compiler: Compiled 4861 to 1685 computations (65.3% saved)

prune39.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	251	3	254

Accuracy

100.0%

Counts

254 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	56.8%	(.f64 #s(literal 2 binary64) (.f64 y (neg.f64 x)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize34.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-mult, time spent: 4.0ms, 46.0% of total-time

Operation ival-neg, time spent: 4.0ms, 46.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`unpow-prod-down`
389×	`log1p-expm1-u`
389×	`expm1-log1p-u`
373×	`add-exp-log`
362×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	113	19
2	1400	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-define`
490×	`fma-neg`
414×	`distribute-lft-out`
344×	`prod-exp`
336×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	1053
1	143	1047
2	363	1047
3	1634	1047
4	4324	1047
5	7864	1047

Stop Event

1×	node limit

Counts

47 → 33

Calls

Call 1

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

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

eval15.0ms (0.3%)

Compiler: Compiled 329 to 231 computations (29.8% saved)

prune7.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.3%	(.f64 y (.f64 x #s(literal 2 binary64)))
✓	90.2%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
▶	56.8%	(.f64 #s(literal -2 binary64) (.f64 x y))
▶	56.8%	(neg.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))

Compiler

Compiled 42 to 29 computations (31% saved)

localize66.0ms (1.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-mult, time spent: 18.0ms, 85.0% of total-time

Operation const, time spent: 2.0ms, 9.0% of total-time

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

6 calls:

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

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`unpow-prod-down`
362×	`log1p-expm1-u`
362×	`expm1-log1p-u`
348×	`add-exp-log`
336×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1008	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1123×	`fma-define`
467×	`fma-neg`
394×	`associate-+r-`
288×	`prod-exp`
287×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	559
1	118	559
2	290	559
3	1436	559
4	3120	557
5	5202	557

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

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

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

eval8.0ms (0.2%)

Compiler: Compiled 271 to 191 computations (29.5% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	28	4	32

Accuracy

100.0%

Counts

32 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.3%	(.f64 y (.f64 x #s(literal 2 binary64)))
▶	56.8%	(.f64 x (.f64 y #s(literal -2 binary64)))
✓	90.2%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize28.0ms (0.6%)

Compiler: Compiled 14 to 9 computations (35.7% saved)
Precisions: Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 5.0ms, 80.0% of total-time
Operation const, time spent: 1.0ms, 16.0% of total-time

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.3%	(.f64 y (.f64 x #s(literal 2 binary64)))
✓	56.8%	(.f64 x (.f64 y #s(literal -2 binary64)))
✓	90.2%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))

Compiler

Compiled 79 to 50 computations (36.7% saved)

regimes24.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(-.f64 (.f64 x x) (.f64 x y))
5.0ms	y
5.0ms	x
4.0ms	(.f64 #s(literal 2 binary64) (-.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)

regimes10.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
58.7%	2	`x`
56.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.8%	1	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.086427245425551e+250	2.9580156357441786e+253

Results

15.0ms	127×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 144 to 107 computations (25.7% saved)

Precisions

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

Operation ival-mult, time spent: 3.0ms, 81.0% of total-time

Operation ival-sub, time spent: 1.0ms, 27.0% of total-time

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
2×	`sub-neg`
2×	`+-commutative`
1×	`neg-sub0`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	97
1	31	97
2	36	97
3	38	97
4	39	97

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 4000000000000000396608112211993636047680809368650861178353581203006168799918134949639116303462911015707277439406485982346309347056090621591337191498862248353306677366521117116231777349377083535451521648143853612748964240337695861270954300912430284275712 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x y)) (*.f64 y (*.f64 x #s(literal 2 binary64))))

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

Outputs
(.f64 #s(literal 2 binary64) (.f64 x (-.f64 x y)))
(if (<=.f64 x #s(literal 4000000000000000396608112211993636047680809368650861178353581203006168799918134949639116303462911015707277439406485982346309347056090621591337191498862248353306677366521117116231777349377083535451521648143853612748964240337695861270954300912430284275712 binary64)) (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 y (.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 4000000000000000396608112211993636047680809368650861178353581203006168799918134949639116303462911015707277439406485982346309347056090621591337191498862248353306677366521117116231777349377083535451521648143853612748964240337695861270954300912430284275712 binary64)) (.f64 #s(literal -2 binary64) (.f64 x y)) (.f64 y (.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal -2 binary64) (.f64 x y))

Compiler

Compiled 32 to 22 computations (31.3% saved)

soundness615.0ms (13.7%)

Rules

938×	`times-frac`
854×	`fma-define`
597×	`fma-neg`
490×	`fma-neg`
475×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	91	196
2	210	196
3	722	196
4	1664	196
5	2112	196
6	2480	196
7	2600	196
8	2600	196
0	75	1053
1	143	1047
2	363	1047
3	1634	1047
4	4324	1047
5	7864	1047
0	12	23
1	113	19
2	1400	19
0	420	15479
1	930	15151
2	2590	14633

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 258 to 85 computations (67.1% saved)

end0.0ms (0%)

preprocess55.0ms (1.2%)

Compiler: Compiled 96 to 60 computations (37.5% saved)

analyze0.0ms (0%)

sample2.3s (50.7%)

preprocess232.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize56.0ms (1.3%)

series7.0ms (0.2%)

rewrite259.0ms (5.8%)

simplify201.0ms (4.5%)

eval205.0ms (4.6%)

prune39.0ms (0.9%)

localize34.0ms (0.8%)

series4.0ms (0.1%)

rewrite84.0ms (1.9%)

simplify89.0ms (2%)

eval15.0ms (0.3%)

prune7.0ms (0.2%)

localize66.0ms (1.5%)

series1.0ms (0%)

rewrite66.0ms (1.5%)

simplify73.0ms (1.6%)

eval8.0ms (0.2%)

prune5.0ms (0.1%)

localize28.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes24.0ms (0.5%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

bsearch18.0ms (0.4%)

simplify4.0ms (0.1%)

soundness615.0ms (13.7%)

end0.0ms (0%)

preprocess55.0ms (1.2%)

Profiling