Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, 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 8 to 6 computations (25% 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

sample1.3s (53.6%)

Results

1.2s	7207×	256	valid
93.0ms	1048×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

Operation ival-mult, time spent: 230.0ms, 71.0% of total-time

Operation ival-add, time spent: 80.0ms, 25.0% of total-time

Operation const, time spent: 15.0ms, 5.0% of total-time

Bogosity

preprocess284.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

177×	`fma-define`
104×	`fmm-def`
46×	`unsub-neg`
35×	`distribute-lft-in`
34×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 y #s(literal 1 binary64))`
-	-	`y`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	69	136
2	193	129
3	454	129
4	684	129
5	851	129
6	902	129
7	903	129

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

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

Operation ival-add, time spent: 6.0ms, 50.0% of total-time

Operation ival-mult, time spent: 4.0ms, 34.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize44.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

Operation composed, time spent: 8.0ms, 39.0% of total-time

Operation ival-add, time spent: 8.0ms, 39.0% of total-time

Operation ival-mult, time spent: 4.0ms, 19.0% of total-time

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite264.0ms (10.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

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

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

684×	`fmm-def`
514×	`cancel-sign-sub-inv`
472×	`distribute-lft-out`
471×	`prod-exp`
354×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1704
1	330	1633
2	749	1621
3	3572	1615

Stop Event

1×	node limit

Counts

75 → 63

Calls

Call 1

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

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

eval12.0ms (0.5%)

Compiler: Compiled 623 to 272 computations (56.3% saved)

prune10.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	60	5	65

Accuracy

100.0%

Counts

65 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x y x)
▶	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	53.6%	(*.f64 x y)
▶	48.0%	x

Compiler

Compiled 28 to 17 computations (39.3% saved)

localize41.0ms (1.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

Precisions

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

Operation ival-mult, time spent: 3.0ms, 61.0% of total-time

Operation ival-add, time spent: 2.0ms, 41.0% of total-time

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite75.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

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

simplify84.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

604×	`distribute-lft-neg-in`
514×	`prod-exp`
482×	`unswap-sqr`
377×	`times-frac`
365×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2283
1	400	2153
2	1018	2111
3	4298	2111

Stop Event

1×	node limit

Counts

89 → 77

Calls

Call 1

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

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

eval19.0ms (0.8%)

Compiler: Compiled 868 to 376 computations (56.7% saved)

prune11.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	77	5	82

Accuracy

100.0%

Counts

82 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x y x)
✓	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	53.6%	(*.f64 x y)
✓	48.0%	x

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes12.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 x y x)

Calls

4 calls:

5.0ms	(+.f64 y #s(literal 1 binary64))
2.0ms	x
2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	x
2.0ms	y
1.0ms	(+.f64 y #s(literal 1 binary64))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
65.2%	7	`x`
97.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0003198126553850861	60.14361776960999
16.0ms	-461.9846858477305	-0.0007249153002285947

Results

29.0ms	287×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 192 to 135 computations (29.7% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 43.0% of total-time

Operation ival-mult, time spent: 2.0ms, 43.0% of total-time

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	35	89

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
x

Outputs
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x y) x)
x

Compiler

Compiled 31 to 20 computations (35.5% saved)

soundness85.0ms (3.5%)

Rules

177×	`fma-define`
104×	`fmm-def`
46×	`unsub-neg`
35×	`distribute-lft-in`
34×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	69	136
2	193	129
3	454	129
4	684	129
5	851	129
6	902	129
7	903	129

Stop Event

1×

saturated

Compiler

Compiled 24 to 13 computations (45.8% saved)

end0.0ms (0%)

preprocess59.0ms (2.4%)

Remove: (negabs x)
Compiler: Compiled 126 to 70 computations (44.4% saved)

analyze0.0ms (0%)

sample1.3s (53.6%)

preprocess284.0ms (11.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.8%)

series3.0ms (0.1%)

rewrite264.0ms (10.8%)

simplify68.0ms (2.8%)

eval12.0ms (0.5%)

prune10.0ms (0.4%)

localize41.0ms (1.7%)

series4.0ms (0.2%)

rewrite75.0ms (3.1%)

simplify84.0ms (3.4%)

eval19.0ms (0.8%)

prune11.0ms (0.5%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch35.0ms (1.4%)

simplify4.0ms (0.1%)

soundness85.0ms (3.5%)

end0.0ms (0%)

preprocess59.0ms (2.4%)

Profiling