Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-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

sample970.0ms (32.4%)

Results

535.0ms	7304×	256	valid
70.0ms	949×	256	infinite
0.0ms	3×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

Operation ival-mult, time spent: 75.0ms, 38.0% of total-time

Operation ival-add, time spent: 61.0ms, 31.0% of total-time

Operation ival-sub, time spent: 47.0ms, 24.0% of total-time

Operation const, time spent: 13.0ms, 7.0% of total-time

Bogosity

preprocess439.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-neg`
631×	`fma-define`
124×	`distribute-rgt-in`
116×	`unsub-neg`
73×	`distribute-lft-in`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	228
1	56	204
2	152	185
3	693	182
4	1591	176
5	2456	176
6	2748	176
7	2798	176

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

214.0ms	452×	256	valid
104.0ms	60×	256	infinite

Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions

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

Operation ival-add, time spent: 9.0ms, 42.0% of total-time

Operation ival-mult, time spent: 8.0ms, 37.0% of total-time

Operation ival-sub, time spent: 3.0ms, 14.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize140.0ms (4.7%)

Localize:

Found 2 expressions with local error:

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

Results

116.0ms	226×	256	valid
4.0ms	30×	256	infinite

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

Operation ival-add, time spent: 88.0ms, 48.0% of total-time

Operation composed, time spent: 85.0ms, 46.0% of total-time

Operation ival-mult, time spent: 7.0ms, 4.0% of total-time

Operation ival-sub, time spent: 2.0ms, 1.0% of total-time

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

series8.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(- (* (+ x 1) y) x)
1.0ms	y	@	-inf	(- (* (+ x 1) y) x)
1.0ms	x	@	-inf	(+ (* x (+ y -1)) y)
0.0ms	x	@	inf	(- (* (+ x 1) y) x)
0.0ms	y	@	inf	(- (* (+ x 1) y) x)

rewrite294.0ms (9.8%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log1p-expm1-u`
978×	`expm1-log1p-u`
861×	`prod-diff`
419×	`fma-define`
251×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	187	52
2	2594	51

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

simplify143.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-lft-in`
504×	`distribute-rgt-in`
259×	`associate-+r+`
245×	`associate-+l+`
201×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	6268
1	862	6111
2	2699	6111
3	7946	6111

Stop Event

1×	node limit

Counts

199 → 184

Calls

Call 1

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

Outputs
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
y
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 (+.f64 y (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (-.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 x y y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 y (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))))
(+.f64 (fma.f64 x y y) (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 x y y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (-.f64 (fma.f64 x y y) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (neg.f64 x) (fma.f64 x y y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x y y) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) y (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 y (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (fma.f64 x y y) #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 x) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y y)) (neg.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
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eval54.0ms (1.8%)

Compiler: Compiled 3308 to 1537 computations (53.5% saved)

prune89.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	181	5	186

Accuracy

100.0%

Counts

186 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶	62.5%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	62.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	38.7%	(neg.f64 x)
▶	38.8%	y

Compiler

Compiled 30 to 21 computations (30% saved)

localize106.0ms (3.5%)

Localize:

Found 1 expressions with local error:

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

Results

38.0ms

256×

256

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

Operation ival-add, time spent: 4.0ms, 29.0% of total-time

Operation ival-mult, time spent: 4.0ms, 29.0% of total-time

Operation ival-sub, time spent: 3.0ms, 21.0% of total-time

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

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log1p-expm1-u`
432×	`expm1-log1p-u`
412×	`add-exp-log`
396×	`add-log-exp`
384×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	104	19
2	1234	19

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-neg`
313×	`unsub-neg`
270×	`associate-+r+`
249×	`associate-+l+`
249×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1004
1	194	1004
2	481	1004
3	1925	1004
4	4307	1004

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

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

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

eval31.0ms (1%)

Compiler: Compiled 440 to 310 computations (29.5% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	43	6	49

Accuracy

100.0%

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	62.5%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	62.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	26.2%	(*.f64 x y)
✓	38.7%	(neg.f64 x)
✓	38.8%	y

Compiler

Compiled 35 to 24 computations (31.4% saved)

localize22.0ms (0.8%)

Results

15.0ms	226×	256	valid
2.0ms	30×	256	infinite

Compiler

Compiled 8 to 4 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-mult, time spent: 2.0ms, 81.0% of total-time

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

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	62.5%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	62.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	26.2%	(*.f64 x y)
✓	38.7%	(neg.f64 x)
✓	38.8%	y

Compiler

Compiled 66 to 41 computations (37.9% saved)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
90.4%	3	`x`
90.4%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.4%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
69.1%	7	`y`
70.9%	6	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(neg.f64 x)

Outputs
(neg.f64 x)
y
(neg.f64 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.8%	1	`y`
38.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2198502458952365e-24	2.6612068074868936e-24
17.0ms	-4634690.850100802	-5.011965269100716e-8

Results

17.0ms

240×

256

valid

Compiler

Compiled 254 to 190 computations (25.2% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 40.0% of total-time

Operation ival-mult, time spent: 2.0ms, 40.0% of total-time

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

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

bsearch27.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2198502458952365e-24	2.6612068074868936e-24
16.0ms	-5.000237168523542e-65	-6.856520125457222e-74

Results

16.0ms

224×

256

valid

Compiler

Compiled 182 to 136 computations (25.3% saved)

Precisions

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

Operation ival-sub, time spent: 2.0ms, 36.0% of total-time

Operation ival-mult, time spent: 2.0ms, 36.0% of total-time

Operation ival-add, time spent: 1.0ms, 18.0% of total-time

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

bsearch76.0ms (2.5%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	3.644162602340686e+143	4.138724950733652e+152
15.0ms	3.412444789102739e+62	2.5562115640555416e+70
9.0ms	1.2198502458952365e-24	2.6612068074868936e-24
17.0ms	-4634690.850100802	-5.011965269100716e-8
15.0ms	-1.3741872064718516e+246	-2.588516128137057e+238

Results

40.0ms	549×	256	valid
9.0ms	123×	256	infinite

Compiler

Compiled 456 to 331 computations (27.4% saved)

Precisions

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

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

Operation ival-sub, time spent: 4.0ms, 28.0% of total-time

Operation ival-add, time spent: 4.0ms, 28.0% of total-time

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

bsearch87.0ms (2.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	1.2198502458952365e-24	2.6612068074868936e-24
18.0ms	-5.000237168523542e-65	-6.856520125457222e-74

Results

16.0ms

224×

256

valid

Compiler

Compiled 140 to 108 computations (22.9% saved)

Precisions

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

Operation ival-mult, time spent: 2.0ms, 40.0% of total-time

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

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

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
5×	`*-commutative`
5×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	311
1	82	311
2	88	311
3	94	311

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -2674777890687885/9223372036854775808 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5580630817503391/2722258935367507707706996859454145691648 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5988969657808517/2722258935367507707706996859454145691648 binary64)) y (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -759999999999999990024675715326001731538212033217751179609585096108230237542065160650156711270942654806672434447395406630495692161925697200330253009706577567902880516023578239726283383944795014965224250812062655304752012539827187662407882688692224 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2858371882135883/1361129467683753853853498429727072845824 binary64)) y (if (<=.f64 x #s(literal 849999999999999965870749620181796209837929051305219686019283495682048 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 x y) (neg.f64 x))))))
(if (<=.f64 x #s(literal -8299976956530825/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)) y (neg.f64 x)))
y

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -2674777890687885/9223372036854775808 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5580630817503391/2722258935367507707706996859454145691648 binary64)) (.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -2674777890687885/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 5580630817503391/2722258935367507707706996859454145691648 binary64)))) (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) y))
(if (or (<=.f64 x #s(literal -2674777890687885/9223372036854775808 binary64)) (not (<=.f64 x #s(literal 5580630817503391/2722258935367507707706996859454145691648 binary64)))) (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) y))
(if (<=.f64 x #s(literal -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5988969657808517/2722258935367507707706996859454145691648 binary64)) y (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (not (<=.f64 x #s(literal 5988969657808517/2722258935367507707706996859454145691648 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) y)
(if (or (<=.f64 x #s(literal -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (not (<=.f64 x #s(literal 5988969657808517/2722258935367507707706996859454145691648 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) y)
(if (<=.f64 x #s(literal -759999999999999990024675715326001731538212033217751179609585096108230237542065160650156711270942654806672434447395406630495692161925697200330253009706577567902880516023578239726283383944795014965224250812062655304752012539827187662407882688692224 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2858371882135883/1361129467683753853853498429727072845824 binary64)) y (if (<=.f64 x #s(literal 849999999999999965870749620181796209837929051305219686019283495682048 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (.f64 x y) (neg.f64 x))))))
(if (<=.f64 x #s(literal -759999999999999990024675715326001731538212033217751179609585096108230237542065160650156711270942654806672434447395406630495692161925697200330253009706577567902880516023578239726283383944795014965224250812062655304752012539827187662407882688692224 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2858371882135883/1361129467683753853853498429727072845824 binary64)) y (if (or (<=.f64 x #s(literal 849999999999999965870749620181796209837929051305219686019283495682048 binary64)) (not (<=.f64 x #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)))) (neg.f64 x) (.f64 x y)))))
(if (<=.f64 x #s(literal -8299976956530825/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)) y (neg.f64 x)))
(if (or (<=.f64 x #s(literal -8299976956530825/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (not (<=.f64 x #s(literal 110591769249305/42535295865117307932921825928971026432 binary64)))) (neg.f64 x) y)
y

Compiler

Compiled 98 to 65 computations (33.7% saved)

soundness216.0ms (7.2%)

Rules

526×	`distribute-lft-in`
504×	`distribute-rgt-in`
259×	`associate-+r+`
245×	`associate-+l+`
201×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	346	6268
1	862	6111
2	2699	6111
3	7946	6111

Stop Event

1×	node limit

Compiler

Compiled 19 to 13 computations (31.6% saved)

end0.0ms (0%)

preprocess58.0ms (1.9%)

Compiler: Compiled 194 to 120 computations (38.1% saved)

analyze0.0ms (0%)

sample970.0ms (32.4%)

preprocess439.0ms (14.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize140.0ms (4.7%)

series8.0ms (0.3%)

rewrite294.0ms (9.8%)

simplify143.0ms (4.8%)

eval54.0ms (1.8%)

prune89.0ms (3%)

localize106.0ms (3.5%)

series3.0ms (0.1%)

rewrite66.0ms (2.2%)

simplify67.0ms (2.2%)

eval31.0ms (1%)

prune7.0ms (0.2%)

localize22.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes13.0ms (0.4%)

regimes5.0ms (0.2%)

regimes12.0ms (0.4%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch27.0ms (0.9%)

bsearch27.0ms (0.9%)

bsearch76.0ms (2.5%)

bsearch87.0ms (2.9%)

simplify10.0ms (0.3%)

soundness216.0ms (7.2%)

end0.0ms (0%)

preprocess58.0ms (1.9%)

Profiling