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

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

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

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

const: 0.0ms (0% of total)

sample1.1s (41%)

Results

588.0ms	7207×	0	valid
85.0ms	1048×	0	infinite
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 88.0ms (40.8% of total)

ival-mult: 68.0ms (31.5% of total)

ival-sub: 45.0ms (20.8% of total)

const: 11.0ms (5.1% of total)

backward-pass: 4.0ms (1.9% of total)

Bogosity

preprocess98.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

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)

explain88.0ms (3.3%)

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))`

Results

51.0ms	452×	256	valid
6.0ms	60×	256	infinite

Compiler

Compiled 51 to 32 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 9.0ms (37.3% of total)

ival-mult: 8.0ms (33.2% of total)

ival-sub: 6.0ms (24.9% of total)

const: 1.0ms (4.1% of total)

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize41.0ms (1.5%)

Localize:

Found 1 expressions with local error:

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

Results

27.0ms	226×	256	valid
3.0ms	30×	256	infinite

Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions

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

ival-add: 8.0ms (56.1% of total)

ival-mult: 4.0ms (28% of total)

ival-sub: 1.0ms (7% of total)

const: 1.0ms (7% of total)

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite230.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log1p-expm1-u`
432×	`expm1-log1p-u`
413×	`add-exp-log`
398×	`add-log-exp`
378×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	102	19
2	1222	18

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

simplify77.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

704×	`prod-exp`
416×	`associate-+r+`
330×	`*-commutative`
328×	`exp-prod`
228×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1377
1	229	1377
2	545	1375
3	2402	1375
4	6563	1375

Stop Event

1×	node limit

Counts

65 → 51

Calls

Call 1

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

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

eval10.0ms (0.4%)

Compiler: Compiled 530 to 226 computations (57.4% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Accuracy

100.0%

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
▶	64.1%	(-.f64 (*.f64 y x) x)
▶	70.3%	(-.f64 y x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize31.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

24.0ms

256×

256

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (57.7% of total)

ival-mult: 2.0ms (38.5% of total)

const: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(- (* y x) x)
1.0ms	y	@	0	(- (* y x) x)
1.0ms	x	@	inf	(- (* y x) x)
0.0ms	x	@	0	(- (* y x) x)
0.0ms	x	@	-inf	(- (* y x) x)

rewrite79.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff`
489×	`log1p-expm1-u`
489×	`expm1-log1p-u`
458×	`unpow-prod-down`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	99	19
2	1339	19

Stop Event

1×	node limit

Counts

1 → 118

Calls

Call 1

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

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

simplify107.0ms (4%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-define`
427×	`distribute-lft-neg-in`
365×	`distribute-rgt-neg-in`
309×	`div-sub`
249×	`cancel-sign-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	4115
1	543	3668
2	1447	3635
3	4982	3635

Stop Event

1×	node limit

Counts

142 → 144

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.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))))
(fma.f64 x y (neg.f64 x))
(*.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))))
(fma.f64 x y (neg.f64 x))
(*.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))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 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))))
(fma.f64 x y (neg.f64 x))
(*.f64 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))))
(fma.f64 x y (neg.f64 x))
(*.f64 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))))
(fma.f64 x y (neg.f64 x))
(*.f64 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))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 y x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 y x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (neg.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64))))))
(+.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 x) (-.f64 y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) y)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (sqrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 x)))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 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 (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.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 (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.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 (.f64 x (+.f64 y #s(literal -1 binary64))))) (cbrt.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))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal -1 binary64) y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 #s(literal -1 binary64) y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y))) #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 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 #s(literal -1 binary64) y)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
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(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))

eval256.0ms (9.5%)

Compiler: Compiled 1952 to 1008 computations (48.4% saved)

prune96.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	64.1%	(-.f64 (*.f64 y x) x)
✓	70.3%	(-.f64 y x)
▶	31.1%	(*.f64 x y)
▶	35.5%	(neg.f64 x)

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize25.0ms (0.9%)

Results

19.0ms

256×

256

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-mult: 2.0ms (52.8% of total)

ival-neg: 2.0ms (52.8% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
✓	64.1%	(-.f64 (*.f64 y x) x)
✓	70.3%	(-.f64 y x)
✓	31.1%	(*.f64 x y)
✓	35.5%	(neg.f64 x)

Compiler

Compiled 52 to 30 computations (42.3% saved)

regimes8.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y

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)

regimes9.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.6%	3	`x`
78.4%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
78.3%	4	`y`
81.0%	6	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
46.3%	6	`x`
63.1%	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
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
35.5%	1	`x`
35.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.007896045257543897	11725.061370346977
14.0ms	-32293.00989735218	-31.458340716779933

Results

21.0ms	271×	0	valid
0.0ms	1×	0	infinite

Compiler

Compiled 252 to 163 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.9% of total)

ival-add: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	58960084011.22843	128856574144966910.0
9.0ms	-38738848332735720.0	-15153803537423490.0
8.0ms	-2.0877819021802685e+77	-6.874432717050531e+76

Results

21.0ms	285×	0	valid
1.0ms	19×	0	infinite

Compiler

Compiled 242 to 162 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (30.2% of total)

ival-add: 2.0ms (30.2% of total)

ival-mult: 2.0ms (30.2% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0003198126553850861	60.14361776960999
17.0ms	-461.9846858477305	-0.0007249153002285947

Results

20.0ms

288×

valid

Compiler

Compiled 212 to 154 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (32% of total)

ival-add: 2.0ms (32% of total)

ival-mult: 2.0ms (32% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	236
1	64	230
2	72	230
3	76	226
4	77	226
5	78	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -32 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (<=.f64 y #s(literal -80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) (-.f64 y x) (if (<=.f64 y #s(literal -22000000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 4300000000000000 binary64)) (-.f64 y x) (.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(if (<=.f64 x #s(literal -32 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (or (<=.f64 x #s(literal -32 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 x y) x) (-.f64 y x))
(if (<=.f64 y #s(literal -80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) (-.f64 y x) (if (<=.f64 y #s(literal -22000000000000000 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 4300000000000000 binary64)) (-.f64 y x) (.f64 x y))))
(if (<=.f64 y #s(literal -80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) (-.f64 y x) (if (or (<=.f64 y #s(literal -22000000000000000 binary64)) (not (<=.f64 y #s(literal 4300000000000000 binary64)))) (*.f64 x y) (-.f64 y x)))
(if (or (<=.f64 y #s(literal -80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) (not (or (<=.f64 y #s(literal -22000000000000000 binary64)) (not (<=.f64 y #s(literal 4300000000000000 binary64)))))) (-.f64 y x) (*.f64 x y))
(if (or (<=.f64 y #s(literal -80000000000000003764810759672437567132476811262933046114229676279185996251136 binary64)) (and (not (<=.f64 y #s(literal -22000000000000000 binary64))) (<=.f64 y #s(literal 4300000000000000 binary64)))) (-.f64 y x) (*.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (neg.f64 x) (.f64 x y)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x y) (neg.f64 x))
(neg.f64 x)

soundness243.0ms (9%)

Rules

704×	`prod-exp`
636×	`fma-define`
427×	`distribute-lft-neg-in`
416×	`associate-+r+`
365×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	4115
1	543	3668
2	1447	3635
3	4982	3635
0	111	1377
1	229	1377
2	545	1375
3	2402	1375
4	6563	1375

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 80 to 45 computations (43.8% saved)

preprocess48.0ms (1.8%)

Compiler: Compiled 140 to 80 computations (42.9% saved)

Data.Colour.SRGB:transferFunction from colour-2.3.3

analyze0.0ms (0%)

sample1.1s (41%)

preprocess98.0ms (3.6%)

explain88.0ms (3.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize41.0ms (1.5%)

series3.0ms (0.1%)

rewrite230.0ms (8.5%)

simplify77.0ms (2.9%)

eval10.0ms (0.4%)

prune8.0ms (0.3%)

localize31.0ms (1.2%)

series5.0ms (0.2%)

rewrite79.0ms (2.9%)

simplify107.0ms (4%)

eval256.0ms (9.5%)

prune96.0ms (3.6%)

localize25.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes1.0ms (0%)

bsearch33.0ms (1.2%)

bsearch35.0ms (1.3%)

bsearch35.0ms (1.3%)

simplify6.0ms (0.2%)

soundness243.0ms (9%)

preprocess48.0ms (1.8%)

end0.0ms (0%)

Profiling