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

analyze30.0ms (1.2%)

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 (31.8% of total)

ival-sub: 3.0ms (23.9% of total)

ival-mult: 3.0ms (23.9% of total)

ival-add: 2.0ms (15.9% of total)

const: 1.0ms (8% of total)

sample895.0ms (37.1%)

Results

632.0ms	8253×	0	valid
1.0ms	2×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-mult: 148.0ms (35.9% of total)

ival-div: 145.0ms (35.2% of total)

ival-sub: 53.0ms (12.9% of total)

ival-add: 46.0ms (11.2% of total)

const: 16.0ms (3.9% of total)

backward-pass: 4.0ms (1% of total)

Bogosity

preprocess96.0ms (4%)

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))))

explain118.0ms (4.9%)

FPErrors

Click to see full error table

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

Results

70.0ms

512×

256

valid

Compiler

Compiled 97 to 55 computations (43.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 22.0ms (53.9% of total)

ival-add: 9.0ms (22% of total)

ival-mult: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.3% of total)

const: 2.0ms (4.9% of total)

eval1.0ms (0%)

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

prune5.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 25 to 17 computations (32% saved)

localize94.0ms (3.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	83.0%	(/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	99.7%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	83.0%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Results

69.0ms

256×

256

valid

Compiler

Compiled 73 to 42 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 21.0ms (38.5% of total)

<compiled-spec>: 10.0ms (18.3% of total)

ival-mult: 10.0ms (18.3% of total)

ival-add: 8.0ms (14.7% of total)

ival-sub: 3.0ms (5.5% of total)

const: 2.0ms (3.7% of total)

series16.0ms (0.7%)

Counts

4 → 96

Calls

Call 1

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

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (* x y) 2)
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	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)))

rewrite227.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`log1p-expm1-u`
881×	`expm1-log1p-u`
471×	`log-prod`
431×	`prod-diff`
255×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	231	100
2	2484	100

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify150.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

416×	`associate-*r/`
405×	`cancel-sign-sub-inv`
305×	`associate-/l*`
288×	`associate-*l/`
272×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	9326
1	1014	9042
2	2794	8990

Stop Event

1×	node limit

Counts

270 → 223

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

eval76.0ms (3.2%)

Compiler: Compiled 4133 to 2748 computations (33.5% saved)

prune35.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	221	4	225

Accuracy

100.0%

Counts

225 → 4

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)))))
▶	64.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
▶	62.7%	(-.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
▶	72.2%	(-.f64 x y)

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize117.0ms (4.8%)

Localize:

Found 1 expressions with local error:

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

Results

53.0ms

256×

256

valid

Compiler

Compiled 57 to 35 computations (38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (54.7% of total)

ival-sub: 5.0ms (15.2% of total)

ival-div: 4.0ms (12.1% of total)

ival-add: 4.0ms (12.1% of total)

const: 2.0ms (6.1% of total)

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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 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))))))>

Calls

6 calls:

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

rewrite109.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log1p-expm1-u`
692×	`expm1-log1p-u`
616×	`prod-diff`
388×	`log-prod`
356×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	150	30
2	1963	30

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

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

simplify93.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg`
511×	`distribute-lft-neg-in`
481×	`distribute-rgt-neg-in`
456×	`fma-define`
286×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3043
1	441	3043
2	1311	3015
3	3864	3015

Stop Event

1×	node limit

Counts

90 → 90

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

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

eval80.0ms (3.3%)

Compiler: Compiled 1543 to 1013 computations (34.3% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	90	4	94

Accuracy

100.0%

Counts

94 → 4

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)))))
✓	64.0%	(-.f64 x (/.f64 #s(literal 2 binary64) x))
✓	62.7%	(-.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
✓	72.2%	(-.f64 x y)

Compiler

Compiled 80 to 52 computations (35% saved)

regimes7.0ms (0.3%)

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	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)

regimes45.0ms (1.9%)

Counts

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

41.0ms	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)

regimes8.0ms (0.3%)

Counts

3 → 3

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 #s(literal -1/2 binary64) x) y))))

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
89.3%	3	`x`
92.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x y)

Outputs
(-.f64 x y)

Calls

2 calls:

1.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
72.2%	1	`x`
72.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.6091010322934283e+151	4.195956683977026e+155
14.0ms	-9.880130823290729e+127	-3.490619878747989e+118

Results

18.0ms

272×

valid

Compiler

Compiled 256 to 183 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (38.6% of total)

ival-sub: 2.0ms (19.3% of total)

ival-add: 2.0ms (19.3% of total)

ival-mult: 2.0ms (19.3% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

33×	`unsub-neg`
31×	`neg-mul-1`
16×	`+-commutative`
15×	`sub-neg`
13×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	158
1	52	158
2	75	158
3	95	158
4	116	158
5	134	158
6	178	158
7	251	158
8	253	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -309999999999999995234511822685997061074092669361876978636334094897715150870495929510911522383600661367742178999962435584 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 67999999999999999423659264021348362708295968842066212283840567777796867911340342823027570379300961659654790811863533930721079804788349402014471027687424 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(-.f64 x y)

Outputs
(-.f64 x (/.f64 y (fma.f64 x (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal -309999999999999995234511822685997061074092669361876978636334094897715150870495929510911522383600661367742178999962435584 binary64)) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 67999999999999999423659264021348362708295968842066212283840567777796867911340342823027570379300961659654790811863533930721079804788349402014471027687424 binary64)) (-.f64 x y) (-.f64 x (/.f64 #s(literal 2 binary64) x))))
(if (or (<=.f64 y #s(literal -309999999999999995234511822685997061074092669361876978636334094897715150870495929510911522383600661367742178999962435584 binary64)) (not (<=.f64 y #s(literal 67999999999999999423659264021348362708295968842066212283840567777796867911340342823027570379300961659654790811863533930721079804788349402014471027687424 binary64)))) (-.f64 x (/.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(-.f64 x y)

soundness111.0ms (4.6%)

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×	done
1×	saturated

Compiler

Compiled 88 to 54 computations (38.6% saved)

preprocess41.0ms (1.7%)

Compiler: Compiled 112 to 70 computations (37.5% saved)

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

analyze30.0ms (1.2%)

sample895.0ms (37.1%)

preprocess96.0ms (4%)

explain118.0ms (4.9%)

eval1.0ms (0%)

prune5.0ms (0.2%)

localize94.0ms (3.9%)

series16.0ms (0.7%)

rewrite227.0ms (9.4%)

simplify150.0ms (6.2%)

eval76.0ms (3.2%)

prune35.0ms (1.5%)

localize117.0ms (4.8%)

series3.0ms (0.1%)

rewrite109.0ms (4.5%)

simplify93.0ms (3.8%)

eval80.0ms (3.3%)

prune15.0ms (0.6%)

regimes7.0ms (0.3%)

regimes45.0ms (1.9%)

regimes8.0ms (0.3%)

regimes2.0ms (0.1%)

bsearch29.0ms (1.2%)

simplify10.0ms (0.4%)

soundness111.0ms (4.6%)

preprocess41.0ms (1.7%)

end0.0ms (0%)

Profiling