Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

analyze11.0ms (0.2%)

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
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

ival-sub: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% of total)

ival-mult: 1.0ms (24.2% of total)

ival-sqrt: 1.0ms (24.2% of total)

const: 0.0ms (0% of total)

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

sample1.0s (13.6%)

Results

772.0ms	8255×	0	valid
11.0ms	238×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-sqrt: 81.0ms (30% of total)

ival-mult: 68.0ms (25.2% of total)

ival-sub: 65.0ms (24.1% of total)

ival-add: 43.0ms (15.9% of total)

const: 11.0ms (4.1% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-neg`
466×	`fma-define`
120×	`cancel-sign-sub-inv`
100×	`associate--r+`
100×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	256
1	68	216
2	192	212
3	562	204
4	1481	204
5	2252	204
6	2534	204
7	2643	204
8	2656	204

Stop Event

1×

saturated

Calls

Call 1

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

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

explain64.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y (sqrt.f64 x))`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(sqrt.f64 x)`
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Results

37.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 6.0ms (34.7% of total)

ival-mult: 4.0ms (23.1% of total)

ival-sqrt: 4.0ms (23.1% of total)

ival-add: 2.0ms (11.6% of total)

const: 1.0ms (5.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize70.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	-6272	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))

Rules

150×	`fma-define`
131×	`fma-neg`
40×	`sub-neg`
30×	`associate--r+`
28×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	127
1	26	127
2	46	127
3	77	127
4	155	127
5	316	127
6	527	127
7	652	127
8	731	127
9	745	127

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

30.0ms

256×

valid

Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions

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

ival-sqrt: 5.0ms (36% of total)

ival-fma: 3.0ms (21.6% of total)

ival-sub: 2.0ms (14.4% of total)

ival-add: 2.0ms (14.4% of total)

ival-mult: 2.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

5 → 88

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (* y (sqrt x)) (- 1 x))
1.0ms	x	@	-inf	(* y (sqrt x))
1.0ms	y	@	inf	(* y (sqrt x))
1.0ms	x	@	0	(* y (sqrt x))
1.0ms	y	@	0	(* y (sqrt x))

rewrite336.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`log1p-expm1-u`
776×	`expm1-log1p-u`
666×	`unpow-prod-down`
425×	`fma-define`
353×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	177	91
2	2110	91

Stop Event

1×	node limit

Counts

5 → 285

Calls

Call 1

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

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

simplify273.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

481×	`times-frac`
449×	`fma-neg`
366×	`unswap-sqr`
331×	`cancel-sign-sub-inv`
269×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	13707
1	1177	12652
2	3718	12429

Stop Event

1×	node limit

Counts

373 → 315

Calls

Call 1

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

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

eval59.0ms (0.8%)

Compiler: Compiled 7016 to 1133 computations (83.9% saved)

prune118.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	449	12	461
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	450	13	463

Accuracy

100.0%

Counts

463 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
▶	62.0%	(-.f64 #s(literal 1 binary64) x)
	99.3%	(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
▶	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	98.1%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	83.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
	74.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
▶	69.2%	(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
	68.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	69.3%	(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
▶	87.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	60.6%	(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))

Compiler

Compiled 302 to 207 computations (31.5% saved)

localize611.0ms (8.1%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	6528	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	-6272	(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
	cost-diff	0	(sqrt.f64 x)
	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(neg.f64 x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	6656	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.3%	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	accuracy	87.7%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
	accuracy	99.7%	(*.f64 y (sqrt.f64 x))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)

Rules

847×	`fma-neg`
672×	`fma-define`
666×	`div-sub`
488×	`sub-neg`
215×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	404
1	55	355
2	107	349
3	220	349
4	447	349
5	1028	349
6	2305	349
7	3767	349
8	5163	349
9	6486	349
10	7446	349
11	7965	349

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

431.0ms

256×

valid

Compiler

Compiled 117 to 20 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 12.0ms (34.4% of total)

ival-mult: 9.0ms (25.8% of total)

ival-add: 4.0ms (11.5% of total)

ival-fma: 3.0ms (8.6% of total)

ival-div: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

series114.0ms (1.5%)

Counts

11 → 216

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(* (pow x 1/4) y)
24.0ms	y	@	0	(* (pow x 1/4) y)
21.0ms	x	@	-inf	(* (pow x 1/4) y)
9.0ms	x	@	inf	(* (pow x 1/4) y)
8.0ms	y	@	inf	(* y (+ (sqrt x) (/ (- 1 x) y)))

rewrite287.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1097×	`log1p-expm1-u`
492×	`expm1-log1p-u`
164×	`add-cube-cbrt`
160×	`add-exp-log`
159×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	274
1	381	228
2	5566	228

Stop Event

1×	node limit

Counts

11 → 334

Calls

Call 1

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

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

simplify349.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

400×	`associate-l`
388×	`associate-r`
271×	`sub-neg`
264×	`div-sub`
245×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	18304
1	1471	17289
2	6130	17159

Stop Event

1×	node limit

Counts

550 → 466

Calls

Call 1

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

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

eval176.0ms (2.3%)

Compiler: Compiled 15478 to 2381 computations (84.6% saved)

prune330.0ms (4.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	986	12	998
Fresh	5	2	7
Picked	3	2	5
Done	0	1	1
Total	994	17	1011

Accuracy

100.0%

Counts

1011 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
	53.2%	(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 (+.f64 x #s(literal 1 binary64)) y)))
▶	69.2%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	62.0%	(-.f64 #s(literal 1 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	68.9%	(+.f64 (neg.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))))
	68.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	68.7%	(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	65.8%	(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) (.f64 x y))
	39.6%	(*.f64 (sqrt.f64 x) y)
	49.9%	(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	57.1%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
✓	87.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	56.9%	(.f64 y (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
	60.6%	(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
	31.6%	(neg.f64 x)
▶	31.4%	#s(literal 1 binary64)

Compiler

Compiled 319 to 213 computations (33.2% saved)

localize255.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 (sqrt.f64 x) (/.f64 x y))
✓	cost-diff	128	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
	cost-diff	0	(neg.f64 x)
✓	cost-diff	64	(-.f64 #s(literal 1 binary64) (neg.f64 x))
✓	cost-diff	128	(*.f64 (neg.f64 x) (neg.f64 x))
✓	cost-diff	576	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
✓	cost-diff	-6336	(-.f64 (*.f64 (sqrt.f64 x) y) x)
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	85.6%	(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) (.f64 x y))
✓	accuracy	100.0%	(/.f64 x y)
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) (/.f64 x y))
✓	accuracy	87.7%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (neg.f64 x) (neg.f64 x))
	accuracy	100.0%	(neg.f64 x)
✓	accuracy	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)

Rules

951×	`fma-neg`
537×	`times-frac`
516×	`sub-neg`
509×	`div-sub`
440×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	371
1	61	363
2	120	363
3	325	363
4	990	350
5	2643	326
6	4416	326
7	6022	326
8	7942	326

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

61.0ms

256×

valid

Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (29.6% of total)

ival-sub: 7.0ms (23% of total)

ival-div: 7.0ms (23% of total)

ival-sqrt: 4.0ms (13.1% of total)

ival-add: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

series43.0ms (0.6%)

Counts

14 → 161

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	(* y (- (sqrt x) (/ x y)))
1.0ms	x	@	-inf	(* (+ (sqrt (/ 1 x)) (/ -1 y)) (* x y))
1.0ms	y	@	0	(* (+ (sqrt (/ 1 x)) (/ -1 y)) (* x y))
1.0ms	x	@	inf	(* (+ (sqrt (/ 1 x)) (/ -1 y)) (* x y))
1.0ms	x	@	inf	(* y (- (sqrt x) (/ x y)))

rewrite275.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log1p-expm1-u`
217×	`expm1-log1p-u`
212×	`add-exp-log`
212×	`add-cube-cbrt`
209×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	329
1	479	254
2	7199	254

Stop Event

1×	node limit

Counts

14 → 436

Calls

Call 1

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

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

simplify277.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-neg`
337×	`exp-prod`
323×	`associate-r`
321×	`associate-l`
245×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	831	17579
1	1760	15519
2	6163	15498

Stop Event

1×	node limit

Counts

597 → 529

Calls

Call 1

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

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

eval125.0ms (1.7%)

Compiler: Compiled 11486 to 2323 computations (79.8% saved)

prune185.0ms (2.5%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	766	11	777
Fresh	3	6	9
Picked	2	3	5
Done	0	3	3
Total	771	23	794

Accuracy

100.0%

Counts

794 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
▶	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
	17.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
▶	68.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)
✓	69.2%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	62.0%	(-.f64 #s(literal 1 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	68.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	31.4%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
	38.5%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y))
	32.8%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y))
	65.8%	(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)) (.f64 x y))
	31.4%	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	38.5%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x y))
	39.6%	(*.f64 (sqrt.f64 x) y)
▶	49.9%	(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))
	19.6%	(*.f64 y (/.f64 x (neg.f64 y)))
✓	57.1%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
✓	87.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	56.9%	(.f64 y (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
	60.6%	(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
▶	31.6%	(neg.f64 x)
✓	31.4%	#s(literal 1 binary64)

Compiler

Compiled 384 to 259 computations (32.6% saved)

localize260.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x y))
	cost-diff	0	(neg.f64 x)
	cost-diff	128	(*.f64 (neg.f64 x) (neg.f64 x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	cost-diff	-256	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	256	(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))
	cost-diff	0	(neg.f64 x)
✓	cost-diff	-6336	(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)
✓	cost-diff	0	(cbrt.f64 x)
✓	cost-diff	0	(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(*.f64 x y)
	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	91.4%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x y))
	accuracy	100.0%	(*.f64 (neg.f64 x) (neg.f64 x))
	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	77.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	87.8%	(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))
	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)
✓	accuracy	99.7%	(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y)
✓	accuracy	99.3%	(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
✓	accuracy	99.1%	(cbrt.f64 x)

Rules

863×	`fma-neg`
697×	`div-sub`
521×	`fma-define`
334×	`distribute-lft-neg-in`
233×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	405
1	74	375
2	148	375
3	497	339
4	2096	335
5	4606	335
6	6401	335
7	7896	335

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

71.0ms

256×

valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.5% of total)

ival-pow: 9.0ms (23.6% of total)

ival-div: 5.0ms (13.1% of total)

ival-sub: 4.0ms (10.5% of total)

ival-cbrt: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

const: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

series68.0ms (0.9%)

Counts

9 → 142

Calls

Call 1

Inputs
#<alt (cbrt.f64 x)>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))>
#<alt (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y)>
#<alt (-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)>
#<alt (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x y))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))>

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

Calls

39 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(/ (- 1 (* (neg x) (neg x))) (* x (+ 1 (/ 1 x))))
2.0ms	x	@	-inf	(cbrt x)
2.0ms	x	@	0	(cbrt x)
2.0ms	x	@	inf	(cbrt x)
2.0ms	x	@	-inf	(pow (cbrt x) 3/2)

rewrite184.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`log1p-expm1-u`
212×	`expm1-log1p-u`
209×	`add-exp-log`
209×	`add-cube-cbrt`
206×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	254
1	478	145
2	7231	145

Stop Event

1×	node limit

Counts

9 → 303

Calls

Call 1

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

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

simplify244.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

738×	`distribute-lft-in`
303×	`cancel-sign-sub-inv`
296×	`distribute-lft-neg-in`
285×	`distribute-rgt-neg-in`
237×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	605	10753
1	1307	9759
2	4503	9650

Stop Event

1×	node limit

Counts

445 → 382

Calls

Call 1

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

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

eval144.0ms (1.9%)

Compiler: Compiled 10732 to 2231 computations (79.2% saved)

prune243.0ms (3.2%)

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	760	16	776
Fresh	3	9	12
Picked	3	2	5
Done	0	6	6
Total	766	33	799

Accuracy

100.0%

Counts

799 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
	17.6%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
	32.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
	32.7%	(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (neg.f64 y))
	33.2%	(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) y)
	38.6%	(/.f64 (*.f64 x y) (sqrt.f64 x))
	31.4%	(/.f64 y (/.f64 y (+.f64 x #s(literal 1 binary64))))
	33.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (+.f64 x #s(literal 1 binary64)))))
✓	68.9%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)
✓	69.2%	(-.f64 (*.f64 (sqrt.f64 x) y) x)
✓	62.0%	(-.f64 #s(literal 1 binary64) x)
	31.5%	(-.f64 #s(literal -1 binary64) x)
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	68.8%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
	31.4%	(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
	38.5%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y))
	32.8%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y))
	31.4%	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	31.3%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
	39.6%	(*.f64 (sqrt.f64 x) y)
	31.5%	(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x)
	31.3%	(*.f64 y (/.f64 #s(literal 1 binary64) y))
✓	57.1%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
✓	87.8%	(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
	31.3%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))))
	49.8%	(.f64 y (.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y))))
	37.7%	(.f64 y (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))
	56.9%	(.f64 y (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
	37.6%	(.f64 y (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) y))))
	60.6%	(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
✓	31.6%	(neg.f64 x)
	3.1%	x
✓	31.4%	#s(literal 1 binary64)

Compiler

Compiled 781 to 346 computations (55.7% saved)

regimes48.0ms (0.6%)

Counts

53 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (/.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))
(*.f64 y (/.f64 x (neg.f64 y)))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y))
(/.f64 y (/.f64 y (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) y)
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) (neg.f64 y))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x)
(.f64 y (.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 y (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) y))))
(.f64 y (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(/.f64 (*.f64 x y) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 x y))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(.f64 x (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(.f64 y (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) (.f64 x y))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)) (.f64 x y))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) y) x)
(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
(/.f64 (*.f64 (-.f64 x (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 2 binary64))) y) (-.f64 (sqrt.f64 x) (/.f64 (+.f64 x #s(literal 1 binary64)) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))

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

Calls

3 calls:

15.0ms	y
15.0ms	x
15.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes23.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes59.0ms (0.8%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
95.2%	3	`y`
84.5%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
94.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
62.0%	1	`x`
67.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
65.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.0%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(neg.f64 x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.0%	2	`x`
35.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -18.3b remaining (-41.5%)

Threshold costs -18.3b (-41.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
31.4%	1	`y`
31.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.008345722849886623	0.0928857290727146

Results

5.0ms

96×

valid

Compiler

Compiled 123 to 89 computations (27.6% saved)

Precisions

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

ival-sub: 1.0ms (36.4% of total)

ival-add: 1.0ms (36.4% of total)

ival-mult: 1.0ms (36.4% of total)

ival-sqrt: 1.0ms (36.4% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	838696262.5147829	3148952758773.5723
14.0ms	-1.1244127068981348e+56	-1.001987557988198e+46

Results

16.0ms

288×

valid

Compiler

Compiled 265 to 207 computations (21.9% saved)

Precisions

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

ival-sub: 2.0ms (24.2% of total)

ival-mult: 2.0ms (24.2% of total)

ival-sqrt: 2.0ms (24.2% of total)

ival-add: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.188024853575897e+49	1.0043959067841504e+51
16.0ms	-1.1244127068981348e+56	-1.001987557988198e+46

Results

17.0ms

272×

valid

Compiler

Compiled 236 to 181 computations (23.3% saved)

Precisions

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

ival-sub: 2.0ms (25.3% of total)

ival-mult: 2.0ms (25.3% of total)

ival-sqrt: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.5943342773723486e+94	1.166401207810354e+104
18.0ms	-7.705069893829768e+114	-1.7766492144300196e+112

Results

22.0ms

272×

valid

Compiler

Compiled 295 to 223 computations (24.4% saved)

Precisions

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

ival-sub: 2.0ms (24.9% of total)

ival-mult: 2.0ms (24.9% of total)

ival-sqrt: 2.0ms (24.9% of total)

ival-add: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.5943342773723486e+94	1.166401207810354e+104
11.0ms	-7.705069893829768e+114	-1.7766492144300196e+112

Results

15.0ms

272×

valid

Compiler

Compiled 287 to 215 computations (25.1% saved)

Precisions

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

ival-sub: 2.0ms (26.3% of total)

ival-mult: 2.0ms (26.3% of total)

ival-sqrt: 2.0ms (26.3% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-7.705069893829768e+114	-1.7766492144300196e+112

Results

8.0ms

128×

valid

Compiler

Compiled 143 to 107 computations (25.2% saved)

Precisions

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

ival-mult: 2.0ms (41.3% of total)

ival-sub: 1.0ms (20.7% of total)

ival-add: 1.0ms (20.7% of total)

ival-sqrt: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	64450357843.93219	238428323384.6814

Results

4.0ms

80×

valid

Compiler

Compiled 60 to 51 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (43.6% of total)

ival-sqrt: 1.0ms (43.6% of total)

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

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

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	491
1	84	491
2	94	491
3	105	491
4	113	491
5	120	487
6	127	487

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (sqrt.f64 x) y) x))
(if (<=.f64 y #s(literal -179999999999999998779770761385093035763107519549931520 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 3100000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -91999999999999994952656508069069748810607280045867139072 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 245000000000000008308342393605467901011671520378880 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -7000000000000000108915912906267901169877409778447430033588394063015836468153289922854897729405332133733443966074880 binary64)) (/.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (neg.f64 y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) y)))
(if (<=.f64 y #s(literal -1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) y)))
(if (<=.f64 y #s(literal -7600000000000000118251562583948006984438330616600066893610256411274336736852143344813888963354360602339167734595584 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 65000000000 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (sqrt.f64 x) y) x))
(if (<=.f64 x #s(literal 3242591731706757/36028797018963968 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (-.f64 (.f64 y (sqrt.f64 x)) x))
(if (<=.f64 y #s(literal -179999999999999998779770761385093035763107519549931520 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 3100000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -179999999999999998779770761385093035763107519549931520 binary64)) (.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 3100000000000 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -91999999999999994952656508069069748810607280045867139072 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 245000000000000008308342393605467901011671520378880 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (or (<=.f64 y #s(literal -91999999999999994952656508069069748810607280045867139072 binary64)) (not (<=.f64 y #s(literal 245000000000000008308342393605467901011671520378880 binary64)))) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -7000000000000000108915912906267901169877409778447430033588394063015836468153289922854897729405332133733443966074880 binary64)) (/.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) (neg.f64 y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (+.f64 x #s(literal 1 binary64))) y)))
(if (<=.f64 y #s(literal -7000000000000000108915912906267901169877409778447430033588394063015836468153289922854897729405332133733443966074880 binary64)) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) y)))
(if (<=.f64 y #s(literal -7000000000000000108915912906267901169877409778447430033588394063015836468153289922854897729405332133733443966074880 binary64)) (/.f64 (.f64 y (-.f64 #s(literal -1 binary64) x)) y) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) y)))
(if (<=.f64 y #s(literal -1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 x #s(literal 1 binary64))) y)))
(if (<=.f64 y #s(literal -1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (if (<=.f64 y #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) y)))
(if (<=.f64 y #s(literal -7600000000000000118251562583948006984438330616600066893610256411274336736852143344813888963354360602339167734595584 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 65000000000 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

soundness858.0ms (11.4%)

Rules

776×	`log1p-expm1-u`
776×	`expm1-log1p-u`
716×	`log1p-expm1-u`
666×	`unpow-prod-down`
481×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	18304
1	1471	17289
2	6130	17159
0	568	13707
1	1177	12652
2	3718	12429
0	27	254
1	478	145
2	7231	145
0	15	91
1	177	91
2	2110	91

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 554 to 200 computations (63.9% saved)

preprocess56.0ms (0.7%)

Compiler: Compiled 296 to 116 computations (60.8% saved)

Iter	Nodes	Cost
0	15	127
1	26	127
2	46	127
3	77	127
4	155	127
5	316	127
6	527	127
7	652	127
8	731	127
9	745	127

Iter	Nodes	Cost
0	15	127
1	26	127
2	46	127
3	77	127
4	155	127
5	316	127
6	527	127
7	652	127
8	731	127
9	745	127

analyze11.0ms (0.2%)

sample1.0s (13.6%)

preprocess110.0ms (1.5%)

explain64.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (0.9%)

series13.0ms (0.2%)

rewrite336.0ms (4.5%)

simplify273.0ms (3.6%)

eval59.0ms (0.8%)

prune118.0ms (1.6%)

localize611.0ms (8.1%)

series114.0ms (1.5%)

rewrite287.0ms (3.8%)

simplify349.0ms (4.6%)

eval176.0ms (2.3%)

prune330.0ms (4.4%)

localize255.0ms (3.4%)

series43.0ms (0.6%)

rewrite275.0ms (3.7%)

simplify277.0ms (3.7%)

eval125.0ms (1.7%)

prune185.0ms (2.5%)

localize260.0ms (3.5%)

series68.0ms (0.9%)

rewrite184.0ms (2.4%)

simplify244.0ms (3.2%)

eval144.0ms (1.9%)

prune243.0ms (3.2%)

regimes48.0ms (0.6%)

regimes23.0ms (0.3%)

regimes59.0ms (0.8%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch10.0ms (0.1%)

bsearch29.0ms (0.4%)

bsearch28.0ms (0.4%)

bsearch35.0ms (0.5%)

bsearch29.0ms (0.4%)

bsearch14.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify16.0ms (0.2%)

soundness858.0ms (11.4%)

preprocess56.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	127
1	26	127
2	46	127
3	77	127
4	155	127
5	316	127
6	527	127
7	652	127
8	731	127
9	745	127