Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

analyze14.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-fabs: 3.0ms (58.6% of total)

ival-sub: 1.0ms (19.5% of total)

ival-div: 1.0ms (19.5% of total)

const: 0.0ms (0% of total)

sample939.0ms (41.2%)

Results

643.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-fabs: 132.0ms (42.4% of total)

ival-div: 104.0ms (33.4% of total)

ival-sub: 65.0ms (20.9% of total)

const: 7.0ms (2.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess71.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-define`
80×	`fma-neg`
32×	`sub-neg`
22×	`times-frac`
14×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	234
1	56	218
2	107	218
3	215	218
4	315	218
5	402	218
6	460	218
7	491	218
8	525	218
9	535	218
10	542	218
11	552	218
12	582	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y))
(/.f64 (fabs.f64 (+.f64 x y)) (fabs.f64 y))
(neg.f64 (/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (fabs.f64 y)))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 (-.f64 x (neg.f64 y))) (fabs.f64 (neg.f64 y))))
(/.f64 (fabs.f64 (-.f64 (neg.f64 x) y)) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (+.f64 x y)) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 x))

explain50.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
-	-	`(-.f64 x y)`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(fabs.f64 y)`
-	-	`y`

Results

33.0ms

512×

256

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-fabs: 6.0ms (39.9% of total)

ival-div: 5.0ms (33.3% of total)

ival-sub: 3.0ms (20% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize26.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

17.0ms

256×

256

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

series4.0ms (0.2%)

Counts

1 → 8

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ (fabs (- x y)) (fabs y))
1.0ms	x	@	-inf	(/ (fabs (- x y)) (fabs y))
1.0ms	x	@	inf	(/ (fabs (- x y)) (fabs y))
1.0ms	y	@	inf	(/ (fabs (- x y)) (fabs y))
1.0ms	x	@	0	(/ (fabs (- x y)) (fabs y))

rewrite294.0ms (12.9%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log1p-expm1-u`
633×	`expm1-log1p-u`
618×	`prod-diff`
516×	`unpow-prod-down`
281×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	148	22
2	2301	22

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

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

simplify93.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg`
491×	`exp-prod`
429×	`fabs-mul`
325×	`associate-*r/`
291×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	3267
1	517	2727
2	1361	2677
3	6455	2599

Stop Event

1×	node limit

Counts

101 → 125

Calls

Call 1

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

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

eval65.0ms (2.8%)

Compiler: Compiled 1797 to 744 computations (58.6% saved)

prune21.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	4	126

Accuracy

100.0%

Counts

126 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.5%	(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) y))
▶	25.5%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
▶	25.4%	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))
▶	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize94.0ms (4.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 x y) y)
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))

Results

68.0ms

256×

256

valid

Compiler

Compiled 65 to 24 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-fabs: 29.0ms (62.8% of total)

ival-div: 8.0ms (17.3% of total)

ival-sub: 4.0ms (8.7% of total)

ival-add: 2.0ms (4.3% of total)

ival-mult: 2.0ms (4.3% of total)

const: 1.0ms (2.2% of total)

series5.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite107.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u`
732×	`expm1-log1p-u`
652×	`unpow-prod-down`
475×	`prod-diff`
340×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	155	38
2	1992	38

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

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

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

simplify115.0ms (5%)

Algorithm

1×	egg-herbie

Rules

452×	`distribute-lft-in`
433×	`distribute-rgt-in`
366×	`*-commutative`
356×	`fma-define`
169×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	7935
1	839	7383
2	2514	7207

Stop Event

1×	node limit

Counts

260 → 191

Calls

Call 1

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

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

eval52.0ms (2.3%)

Compiler: Compiled 2893 to 1530 computations (47.1% saved)

prune27.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	191	4	195

Accuracy

100.0%

Counts

195 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.4%	(/.f64 x y)
✓	25.5%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
▶	1.3%	#s(literal -1 binary64)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize16.0ms (0.7%)

Results

12.0ms

256×

256

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-div: 2.0ms (76.4% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.4%	(/.f64 x y)
✓	25.5%	(+.f64 #s(literal -1 binary64) (/.f64 x y))
✓	100.0%	(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	1.3%	#s(literal -1 binary64)

Compiler

Compiled 61 to 36 computations (41% saved)

regimes8.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(/.f64 x y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(/.f64 x y)
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) y))

Outputs
(/.f64 x y)

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
26.4%	1	`x`
26.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
1.3%	1	`x`
1.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	22	37
2	31	37
3	40	37
4	50	37
5	52	37

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness240.0ms (10.5%)

Rules

693×	`fma-neg`
633×	`log1p-expm1-u`
633×	`expm1-log1p-u`
618×	`prod-diff`
516×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	272	3267
1	517	2727
2	1361	2677
3	6455	2599
0	12	26
1	148	22
2	2301	22

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 161 to 73 computations (54.7% saved)

preprocess25.0ms (1.1%)

Compiler: Compiled 42 to 26 computations (38.1% saved)

Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

analyze14.0ms (0.6%)

sample939.0ms (41.2%)

preprocess71.0ms (3.1%)

explain50.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (1.2%)

series4.0ms (0.2%)

rewrite294.0ms (12.9%)

simplify93.0ms (4.1%)

eval65.0ms (2.8%)

prune21.0ms (0.9%)

localize94.0ms (4.1%)

series5.0ms (0.2%)

rewrite107.0ms (4.7%)

simplify115.0ms (5%)

eval52.0ms (2.3%)

prune27.0ms (1.2%)

localize16.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

regimes1.0ms (0.1%)

simplify3.0ms (0.1%)

soundness240.0ms (10.5%)

preprocess25.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	234
1	56	218
2	107	218
3	215	218
4	315	218
5	402	218
6	460	218
7	491	218
8	525	218
9	535	218
10	542	218
11	552	218
12	582	218

Iter	Nodes	Cost
0	27	234
1	56	218
2	107	218
3	215	218
4	315	218
5	402	218
6	460	218
7	491	218
8	525	218
9	535	218
10	542	218
11	552	218
12	582	218

Iter	Nodes	Cost
0	27	234
1	56	218
2	107	218
3	215	218
4	315	218
5	402	218
6	460	218
7	491	218
8	525	218
9	535	218
10	542	218
11	552	218
12	582	218