Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample606.0ms (35.3%)

Results

412.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div: 68.0ms (48.7% of total)

ival-sub: 57.0ms (40.8% of total)

const: 11.0ms (7.9% of total)

backward-pass: 3.0ms (2.1% of total)

Bogosity

preprocess53.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-neg`
41×	`fma-define`
22×	`sub-neg`
18×	`distribute-lft-neg-in`
18×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	39	137
2	86	133
3	179	113
4	350	113
5	465	113
6	502	113
7	505	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 y (/.f64 x #s(literal 4 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -4 binary64)))
(-.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64))))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -4 binary64)))
(-.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(-.f64 y (/.f64 x #s(literal 4 binary64)))
(+.f64 y (/.f64 x #s(literal -4 binary64)))
(+.f64 y (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) y)

explain54.0ms (3.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`y`
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`

Results

32.0ms

512×

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 7.0ms (63.2% of total)

ival-sub: 3.0ms (27.1% of total)

const: 1.0ms (9% of total)

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

eval1.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize41.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓	cost-diff	0	(/.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Rules

57×	`fma-neg`
53×	`fma-define`
17×	`cancel-sign-sub-inv`
15×	`sub-neg`
11×	`neg-mul-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	13	38
2	23	38
3	33	38
4	46	38
5	67	34
6	113	34
7	162	34
8	224	34
9	283	34
10	342	34
11	357	34
12	359	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(/.f64 y #s(literal 4 binary64))
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 4 binary64)

Results

16.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-div: 5.0ms (70.1% of total)

ival-sub: 1.0ms (14% of total)

const: 1.0ms (14% of total)

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

series4.0ms (0.2%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (-.f64 x (/.f64 y #s(literal 4 binary64)))>
#<alt (/.f64 y #s(literal 4 binary64))>

Outputs
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ y 4)
0.0ms	y	@	inf	(- x (/ y 4))
0.0ms	x	@	inf	(- x (/ y 4))
0.0ms	x	@	0	(- x (/ y 4))
0.0ms	y	@	0	(- x (/ y 4))

rewrite322.0ms (18.7%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log1p-expm1-u`
533×	`expm1-log1p-u`
483×	`prod-diff`
456×	`unpow-prod-down`
453×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	106	29
2	1456	25

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(/.f64 y #s(literal 4 binary64))

Outputs
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 x (.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (+.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))
(.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64)))
(.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))

simplify138.0ms (8%)

Algorithm

1×	egg-herbie

Rules

560×	`times-frac`
306×	`fma-neg`
302×	`cancel-sign-sub-inv`
296×	`distribute-lft-in`
275×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	4621
1	875	4395
2	2373	4365
3	7870	4365

Stop Event

1×	node limit

Counts

215 → 217

Calls

Call 1

Inputs
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 x (.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (+.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -1/4 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y #s(literal -1/4 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -1/4 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y #s(literal -1/4 binary64) x)))))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y #s(literal -1/4 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)))
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(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))

Outputs
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/4 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 x (.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (+.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/4 binary64)) (.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
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(fma.f64 #s(literal -1/4 binary64) y x)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 y #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (.f64 y #s(literal 1/4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y (pow.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))
(*.f64 y (cbrt.f64 #s(literal 1/64 binary64)))
(.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (.f64 y #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 (.f64 y (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (.f64 (.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 8 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 y #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(/.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) #s(literal 1/3 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 y #s(literal 1/4 binary64))

eval101.0ms (5.9%)

Compiler: Compiled 3204 to 2149 computations (32.9% saved)

prune31.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	215	3	218

Accuracy

100.0%

Counts

218 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))
▶	48.4%	(*.f64 #s(literal -1/4 binary64) y)
▶	53.0%	x

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize28.0ms (1.6%)

Algorithm

2×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) y)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
0	7	15
1	8	15

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y

Outputs
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y

Call 2

Inputs
x

Outputs
x

Results

10.0ms

256×

valid

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

ival-mult: 2.0ms (78.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/4 binary64) y)>

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* -1/4 y)
0.0ms	y	@	inf	(* -1/4 y)
0.0ms	y	@	-inf	(* -1/4 y)

rewrite143.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
484×	`expm1-log1p-u`
314×	`associate-r`
287×	`associate-l`
176×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	46	10
2	489	10
3	5809	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 #s(literal -1/4 binary64) y)

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 2 binary64)))

simplify66.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

622×	`sub-neg`
512×	`times-frac`
352×	`associate-r`
315×	`div-sub`
312×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	486
1	159	482
2	396	475
3	1622	471
4	4877	471

Stop Event

1×	node limit

Counts

25 → 33

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) y)))
(*.f64 #s(literal -1/4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) y)))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) y))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) y)

eval6.0ms (0.4%)

Compiler: Compiled 333 to 273 computations (18% saved)

prune18.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓	48.4%	(*.f64 #s(literal -1/4 binary64) y)
✓	53.0%	x

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Calls

4 calls:

4.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.4%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/4 binary64) y)

Outputs
x
(*.f64 #s(literal -1/4 binary64) y)
x
(*.f64 #s(literal -1/4 binary64) y)
x

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.3%	5	`x`
77.5%	5	`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
x

Outputs
x

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
53.0%	1	`y`
53.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch51.0ms (3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.2629142593259365e-36	9.773677482306133e-33
13.0ms	-2.4127440410289463e-44	-1.375151294024721e-51
11.0ms	-4.433420845414632e+30	-17459657486198264.0
12.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

26.0ms

576×

valid

Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (48% of total)

ival-sub: 3.0ms (36% of total)

const: 1.0ms (12% of total)

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`if-not`
6×	`not-not`
6×	`if-if-or-not`
4×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	36	103
2	48	103
3	60	99
4	69	99
5	75	99
6	76	99
7	77	99

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (/.f64 y #s(literal 4 binary64)))

(if (<=.f64 x #s(literal -38000000000000002379638311131716265787368535331441034632429797944681111610195968 binary64)) x (if (<=.f64 x #s(literal -24999999999999997858287714304 binary64)) (*.f64 #s(literal -1/4 binary64) y) (if (<=.f64 x #s(literal -1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64)) x (if (<=.f64 x #s(literal 5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) (*.f64 #s(literal -1/4 binary64) y) x))))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 x #s(literal -38000000000000002379638311131716265787368535331441034632429797944681111610195968 binary64)) x (if (<=.f64 x #s(literal -24999999999999997858287714304 binary64)) (.f64 #s(literal -1/4 binary64) y) (if (<=.f64 x #s(literal -1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64)) x (if (<=.f64 x #s(literal 5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) (.f64 #s(literal -1/4 binary64) y) x))))
(if (<=.f64 x #s(literal -38000000000000002379638311131716265787368535331441034632429797944681111610195968 binary64)) x (if (<=.f64 x #s(literal -24999999999999997858287714304 binary64)) (.f64 y #s(literal -1/4 binary64)) (if (<=.f64 x #s(literal -1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64)) x (if (<=.f64 x #s(literal 5612166287350667/93536104789177786765035829293842113257979682750464 binary64)) (.f64 y #s(literal -1/4 binary64)) x))))
(if (<=.f64 x #s(literal -38000000000000002379638311131716265787368535331441034632429797944681111610195968 binary64)) x (if (or (<=.f64 x #s(literal -24999999999999997858287714304 binary64)) (and (not (<=.f64 x #s(literal -1478383000718271/12855504354071922204335696738729300820177623950262342682411008 binary64))) (<=.f64 x #s(literal 5612166287350667/93536104789177786765035829293842113257979682750464 binary64)))) (*.f64 y #s(literal -1/4 binary64)) x))
x

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 30 to 20 computations (33.3% saved)

preprocess29.0ms (1.7%)

Compiler: Compiled 74 to 50 computations (32.4% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

analyze0.0ms (0%)

sample606.0ms (35.3%)

preprocess53.0ms (3.1%)

explain54.0ms (3.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize41.0ms (2.4%)

series4.0ms (0.2%)

rewrite322.0ms (18.7%)

simplify138.0ms (8%)

eval101.0ms (5.9%)

prune31.0ms (1.8%)

localize28.0ms (1.6%)

series1.0ms (0.1%)

rewrite143.0ms (8.3%)

simplify66.0ms (3.9%)

eval6.0ms (0.4%)

prune18.0ms (1.1%)

regimes9.0ms (0.5%)

regimes6.0ms (0.4%)

regimes1.0ms (0.1%)

bsearch51.0ms (3%)

simplify6.0ms (0.4%)

soundness1.0ms (0%)

preprocess29.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	38
1	13	38
2	23	38
3	33	38
4	46	38
5	67	34
6	113	34
7	162	34
8	224	34
9	283	34
10	342	34
11	357	34
12	359	34

Iter	Nodes	Cost
0	10	38
1	13	38
2	23	38
3	33	38
4	46	38
5	67	34
6	113	34
7	162	34
8	224	34
9	283	34
10	342	34
11	357	34
12	359	34

Iter	Nodes	Cost
0	10	38
1	13	38
2	23	38
3	33	38
4	46	38
5	67	34
6	113	34
7	162	34
8	224	34
9	283	34
10	342	34
11	357	34
12	359	34