Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

analyze31.0ms (1%)

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
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.5% of total)

ival-sub: 3.0ms (23.6% of total)

ival-mult: 3.0ms (23.6% of total)

ival-add: 2.0ms (15.8% of total)

const: 1.0ms (7.9% of total)

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

sample1.3s (39.3%)

Results

867.0ms	8250×	0	valid
1.0ms	3×	2	valid
1.0ms	2×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-div: 134.0ms (38.5% of total)

ival-sub: 80.0ms (23% of total)

ival-mult: 68.0ms (19.5% of total)

ival-add: 48.0ms (13.8% of total)

const: 15.0ms (4.3% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess100.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

357×	`fma-define`
301×	`fma-neg`
72×	`associate-l`
65×	`distribute-lft-neg-in`
52×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	333
1	74	297
2	147	281
3	300	281
4	692	273
5	1354	273
6	1712	273
7	1830	273
8	1849	273
9	1861	273

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64))))))
(-.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))))

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

explain163.0ms (5.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
35	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`x`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`

Results

66.0ms

512×

valid

Compiler

Compiled 97 to 55 computations (43.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 21.0ms (53% of total)

ival-add: 8.0ms (20.2% of total)

ival-mult: 4.0ms (10.1% of total)

ival-sub: 3.0ms (7.6% of total)

const: 3.0ms (7.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

prune6.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize50.0ms (1.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	87.0%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Results

34.0ms

256×

valid

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (53.9% of total)

ival-add: 4.0ms (21.6% of total)

ival-mult: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% of total)

const: 1.0ms (5.4% of total)

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

series19.0ms (0.6%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))>

Outputs
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) x)))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)))) y)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 y (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 4 binary64) (.f64 x y))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (*.f64 x y)))) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) x)) #s(literal 2 binary64)) x))>

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	(/ y (+ 1 (/ (* x y) 2)))
1.0ms	x	@	inf	(/ y (+ 1 (/ (* x y) 2)))
1.0ms	y	@	-inf	(/ y (+ 1 (/ (* x y) 2)))
1.0ms	x	@	-inf	(/ y (+ 1 (/ (* x y) 2)))
1.0ms	y	@	0	(/ y (+ 1 (/ (* x y) 2)))

rewrite245.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log1p-expm1-u`
785×	`expm1-log1p-u`
414×	`log-prod`
393×	`prod-diff`
246×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	159	30
2	2148	30

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

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

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-neg`
531×	`fma-define`
432×	`associate-/r*`
380×	`div-sub`
269×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	3003
1	715	2885
2	1916	2851
3	6360	2837

Stop Event

1×	node limit

Counts

71 → 111

Calls

Call 1

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

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

eval27.0ms (0.8%)

Compiler: Compiled 2190 to 1511 computations (31% saved)

prune46.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Accuracy

100.0%

Counts

112 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
▶	64.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	57.9%	(-.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))
▶	71.0%	(-.f64 x y)

Compiler

Compiled 51 to 35 computations (31.4% saved)

localize210.0ms (6.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)
✓	99.7%	(/.f64 (/.f64 #s(literal -4 binary64) y) x)
✓	100.0%	(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
✓	90.4%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))

Results

108.0ms

256×

valid

Compiler

Compiled 96 to 60 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 32.0ms (39.4% of total)

ival-pow: 15.0ms (18.5% of total)

ival-mult: 14.0ms (17.2% of total)

ival-add: 10.0ms (12.3% of total)

ival-sub: 7.0ms (8.6% of total)

const: 3.0ms (3.7% of total)

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

series17.0ms (0.5%)

Counts

4 → 69

Calls

Call 1

Inputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 (/.f64 #s(literal -4 binary64) y) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)>

Outputs
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 #s(literal -4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x)>
#<alt (/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 2 binary64)) x))>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (pow y 2))
2.0ms	x	@	inf	(/ (/ -4 y) x)
1.0ms	x	@	0	(* x (pow y 2))
1.0ms	x	@	-inf	(* x (pow y 2))
1.0ms	y	@	0	(/ (+ 2 (/ (/ -4 y) x)) x)

rewrite137.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`log1p-expm1-u`
895×	`expm1-log1p-u`
399×	`fma-define`
224×	`fma-neg`
220×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	254	102
2	3807	102

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -4 binary64) y) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)

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

simplify270.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac`
559×	`fma-define`
467×	`associate-*r/`
260×	`distribute-rgt-in`
258×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	7845
1	851	7341
2	2541	6762

Stop Event

1×	node limit

Counts

213 → 200

Calls

Call 1

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

Outputs
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x) y)
y
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (/.f64 y x)))
(/.f64 #s(literal -4 binary64) (*.f64 x y))
(/.f64 #s(literal -4 binary64) (*.f64 y x))
(/.f64 #s(literal -4 binary64) (*.f64 x y))
(/.f64 #s(literal -4 binary64) (*.f64 y x))
(/.f64 #s(literal -4 binary64) (*.f64 x y))
(/.f64 #s(literal -4 binary64) (*.f64 y x))
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(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)
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(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)
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(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)
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eval51.0ms (1.6%)

Compiler: Compiled 3342 to 2267 computations (32.2% saved)

prune85.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	200	5	205

Accuracy

100.0%

Counts

205 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.7%	(-.f64 x (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y))
✓	62.7%	(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	64.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	71.0%	(-.f64 x y)

Compiler

Compiled 50 to 33 computations (34% saved)

localize52.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x #s(literal -1/2 binary64)) y)
✓	99.9%	(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y)

Results

41.0ms

256×

valid

Compiler

Compiled 32 to 18 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (59% of total)

ival-fma: 6.0ms (29.5% of total)

ival-sub: 1.0ms (4.9% of total)

const: 1.0ms (4.9% of total)

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

series5.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y)>
#<alt (.f64 (.f64 x #s(literal -1/2 binary64)) y)>

Outputs
#<alt y>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x y))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* x -1/2) y)
0.0ms	y	@	inf	(* (* x -1/2) y)
0.0ms	y	@	0	(* (* x -1/2) y)
0.0ms	x	@	0	(* (* x -1/2) y)
0.0ms	y	@	-inf	(* (* x -1/2) y)

rewrite78.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`unpow-prod-down`
471×	`log1p-expm1-u`
471×	`expm1-log1p-u`
452×	`add-exp-log`
400×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	110	52
2	1286	49

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y)
(.f64 (.f64 x #s(literal -1/2 binary64)) y)

Outputs
(+.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(+.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) y)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
(pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64)))

simplify131.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

507×	`prod-exp`
476×	`fma-define`
457×	`fma-neg`
359×	`times-frac`
251×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3431
1	405	3402
2	1202	3391
3	3732	3390
4	7554	3390

Stop Event

1×	node limit

Counts

109 → 107

Calls

Call 1

Inputs
y
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 y x)))
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x y))))
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(.f64 #s(literal -1/2 binary64) (.f64 x y))
(+.f64 y (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)
(+.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) y)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
(pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))) (sqrt.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (fma.f64 x (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)))))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64)))

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

eval32.0ms (1%)

Compiler: Compiled 1911 to 1287 computations (32.7% saved)

prune17.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	107	5	112

Accuracy

100.0%

Counts

112 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.7%	(-.f64 x (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y))
✓	62.7%	(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x))
✓	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
✓	64.3%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	71.0%	(-.f64 x y)

Compiler

Compiled 103 to 65 computations (36.9% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) x))
(-.f64 x (fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) y y))
(-.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))

Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))

Outputs
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 x y)
(-.f64 x (/.f64 #s(literal 2 binary64) x))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
89.3%	3	`x`
93.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x y)

Outputs
(-.f64 x y)

Calls

2 calls:

2.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
71.0%	1	`x`
71.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.1168689070719796e+91	4.348032447721863e+91
12.0ms	-1.3388032602680455e+127	-2.4827295203538463e+123

Results

11.0ms

176×

valid

Compiler

Compiled 172 to 123 computations (28.5% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

ival-mult: 1.0ms (17% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

27×	`unsub-neg`
25×	`neg-mul-1`
13×	`+-commutative`
12×	`sub-neg`
11×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	119
1	45	119
2	62	119
3	78	119
4	96	119
5	113	119
6	149	119
7	208	119
8	210	119

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

(if (<=.f64 y #s(literal -265000000000000013908970020976312222882858374272685386491223586919509101178575142113648287497508264121421042220288039714816000 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))

(-.f64 x y)

Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -265000000000000013908970020976312222882858374272685386491223586919509101178575142113648287497508264121421042220288039714816000 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (or (<=.f64 y #s(literal -265000000000000013908970020976312222882858374272685386491223586919509101178575142113648287497508264121421042220288039714816000 binary64)) (not (<=.f64 y #s(literal 40000000000000003182492994451219885726249045606676420637545759893951723008807044536567070720 binary64)))) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(-.f64 x y)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 33 to 20 computations (39.4% saved)

preprocess27.0ms (0.8%)

Compiler: Compiled 92 to 58 computations (37% saved)

Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

analyze31.0ms (1%)

sample1.3s (39.3%)

preprocess100.0ms (3.1%)

explain163.0ms (5.1%)

eval1.0ms (0%)

prune6.0ms (0.2%)

localize50.0ms (1.6%)

series19.0ms (0.6%)

rewrite245.0ms (7.6%)

simplify112.0ms (3.5%)

eval27.0ms (0.8%)

prune46.0ms (1.4%)

localize210.0ms (6.5%)

series17.0ms (0.5%)

rewrite137.0ms (4.2%)

simplify270.0ms (8.4%)

eval51.0ms (1.6%)

prune85.0ms (2.6%)

localize52.0ms (1.6%)

series5.0ms (0.1%)

rewrite78.0ms (2.4%)

simplify131.0ms (4.1%)

eval32.0ms (1%)

prune17.0ms (0.5%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.6%)

simplify7.0ms (0.2%)

soundness1.0ms (0%)

preprocess27.0ms (0.8%)

end0.0ms (0%)

Profiling