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

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample1.1s (48.2%)

Results

644.0ms	7231×	0	valid
136.0ms	1025×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-add: 140.0ms (60.5% of total)

ival-mult: 77.0ms (33.3% of total)

const: 11.0ms (4.8% of total)

backward-pass: 4.0ms (1.7% of total)

Bogosity

preprocess62.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

177×	`fma-define`
108×	`fma-neg`
51×	`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	857	129
6	908	129
7	909	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)))
(neg.f64 (fma.f64 x y x))
(*.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(neg.f64 (*.f64 (neg.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 (+.f64 y #s(literal -1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)

Symmetry

(negabs x)

explain66.0ms (2.8%)

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`

Results

42.0ms	458×	256	valid
4.0ms	54×	256	infinite

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

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

ival-add: 9.0ms (58.2% of total)

ival-mult: 5.0ms (32.4% of total)

const: 1.0ms (6.5% of total)

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)

localize38.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Results

25.0ms	229×	256	valid
3.0ms	27×	256	infinite

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

composed: 4.0ms (32.7% of total)

ival-add: 4.0ms (32.7% of total)

ival-mult: 4.0ms (32.7% of total)

const: 1.0ms (8.2% of total)

series4.0ms (0.2%)

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))

rewrite227.0ms (9.7%)

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 → 75

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 x y) x)
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (cbrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 x x) (.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 x (-.f64 (.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 y y) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #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 (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))
(cbrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 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 (.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 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) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) 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 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x)

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr`
487×	`fma-define`
394×	`fma-neg`
360×	`distribute-lft-in`
323×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2880
1	522	2742
2	1348	2635
3	4016	2620

Stop Event

1×	node limit

Counts

99 → 95

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) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 x y) x)
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (cbrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 x (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 x x) (.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 x (-.f64 (.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (+.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 (.f64 y y) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #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 (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))
(cbrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 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 (.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 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) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) 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 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) 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))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x 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)))))
(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)))))
(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)))))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) x)
(fma.f64 x y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 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 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 x y x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (log.f64 (E.f64)))
(fma.f64 x y x)
(.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (+.f64 y #s(literal 1 binary64))) x))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 x) (.f64 (+.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x x))))
(.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))
(fma.f64 x y x)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(fma.f64 x y x)
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 (.f64 x (cbrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 x (.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 x (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x y x)
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (.f64 (+.f64 #s(literal 1 binary64) y) (cbrt.f64 (*.f64 x x))))
(.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(fma.f64 x y x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/2 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 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) x) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) y)) (cbrt.f64 (.f64 x (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (cbrt.f64 (.f64 x (+.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 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 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 x x) (.f64 (*.f64 x y) x))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 x x)) (-.f64 (*.f64 x y) x))
(fma.f64 x y x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (-.f64 #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 (-.f64 (.f64 y y) #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (+.f64 (.f64 y y) (-.f64 #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 (-.f64 (.f64 y y) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y x)
(pow.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))
(fma.f64 x y x)
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 x y x)
(pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(fma.f64 x y x)
(pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(fma.f64 x y x)
(pow.f64 (E.f64) (+.f64 (log1p.f64 y) (log.f64 x)))
(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 (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 y) (log.f64 x))))
(sqrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 x y x)
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 x y x)
(cbrt.f64 (.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (.f64 x (*.f64 x x))))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(exp.f64 (+.f64 (log1p.f64 y) (log.f64 x)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 3 binary64)))
(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)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal 2 binary64)))
(fma.f64 x y x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x y))
(fma.f64 x y x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) x)
(fma.f64 x y x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 x y x)
(fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y)) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 x y x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 x y x)

eval48.0ms (2.1%)

Compiler: Compiled 2300 to 1188 computations (48.3% saved)

prune14.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	192	4	196

Accuracy

100.0%

Counts

196 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	49.0%	(*.f64 x y)
▶	51.8%	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize29.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

22.0ms

256×

256

valid

Compiler

Compiled 19 to 5 computations (73.7% saved)

Precisions

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

ival-add: 2.0ms (43.1% of total)

ival-mult: 2.0ms (43.1% of total)

const: 0.0ms (0% of total)

series3.0ms (0.1%)

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	x	@	-inf	(+ (* x y) x)
0.0ms	y	@	-inf	(+ (* x y) x)
0.0ms	y	@	inf	(+ (* x y) x)

rewrite115.0ms (4.9%)

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 → 70

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.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 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(.f64 (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (*.f64 x y))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 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)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 x x)))) (-.f64 x (*.f64 x y)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log.f64 (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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)) (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) x)
(fma.f64 (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) x)
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x)

simplify67.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-define`
591×	`associate-/r*`
393×	`associate-*r/`
374×	`distribute-lft-in`
347×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	3148
1	471	2962
2	1654	2626

Stop Event

1×	node limit

Counts

94 → 86

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 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.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 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(.f64 (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (*.f64 x y))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 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)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 x x)))) (-.f64 x (*.f64 x y)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log.f64 (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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)) (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) x)
(fma.f64 (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) x)
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) 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))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 x y)))
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))))))
(+.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 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(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)))
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 x y x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y x)
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(fma.f64 x y x)
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(fma.f64 x y x)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x y x)
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 x y x)
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 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 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))) (cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (+.f64 #s(literal 1 binary64) y))))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
(*.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 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))))
(fma.f64 x y x)
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y x)
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 x x)))) (-.f64 x (*.f64 x y)))
(fma.f64 x y x)
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(fma.f64 x y x)
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))
(fma.f64 x y x)
(pow.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64))
(fma.f64 x y x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 x y x)
(pow.f64 (/.f64 (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (-.f64 x (.f64 x y)))) (+.f64 (.f64 (.f64 x y) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 x x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 x y x)
(sqrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(log.f64 (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(cbrt.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(fma.f64 x y x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 x y x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 x y x)
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (.f64 y (.f64 y (.f64 x x)))) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 x (cbrt.f64 y)) x)
(fma.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) y) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (cbrt.f64 y)) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 y) (.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 x y x)
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) x)
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 x y x)

eval57.0ms (2.4%)

Compiler: Compiled 2346 to 1136 computations (51.6% saved)

prune147.0ms (6.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	180	4	184

Accuracy

100.0%

Counts

184 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) x)
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	49.0%	(*.f64 x y)
✓	51.8%	x

Compiler

Compiled 42 to 22 computations (47.6% saved)

regimes8.0ms (0.4%)

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:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	(+.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 (0.4%)

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

regimes8.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

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

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
63.7%	7	`x`
96.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.4162801385788132	19.94951920947807
12.0ms	-12.455502905613207	-0.8977210941044823

Results

16.0ms

208×

valid

Compiler

Compiled 142 to 100 computations (29.6% saved)

Precisions

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

ival-mult: 2.0ms (58% of total)

ival-add: 1.0ms (29% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify3.0ms (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×

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

soundness73.0ms (3.1%)

Rules

177×	`fma-define`
108×	`fma-neg`
51×	`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	857	129
6	908	129
7	909	129

Stop Event

1×	done
1×	saturated

Compiler

Compiled 49 to 27 computations (44.9% saved)

preprocess124.0ms (5.3%)

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

Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

analyze0.0ms (0%)

sample1.1s (48.2%)

preprocess62.0ms (2.7%)

explain66.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize38.0ms (1.6%)

series4.0ms (0.2%)

rewrite227.0ms (9.7%)

simplify82.0ms (3.5%)

eval48.0ms (2.1%)

prune14.0ms (0.6%)

localize29.0ms (1.2%)

series3.0ms (0.1%)

rewrite115.0ms (4.9%)

simplify67.0ms (2.9%)

eval57.0ms (2.4%)

prune147.0ms (6.3%)

regimes8.0ms (0.4%)

regimes8.0ms (0.4%)

regimes8.0ms (0.4%)

regimes1.0ms (0%)

bsearch24.0ms (1%)

simplify3.0ms (0.1%)

soundness73.0ms (3.1%)

preprocess124.0ms (5.3%)

end0.0ms (0%)

Profiling